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Mathematical question
Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. Clock angle problems relate
Clock_angle_problem
Figure formed by two rays meeting at a common point
Central angle Clock angle problem Decimal degrees Dihedral angle Exterior angle theorem Golden angle Great circle distance Horn angle Inscribed angle Irrational
Angle
Relative direction using a dial
observes the angle made by the intersection of the line of sight to the longitudinal axis, the dimension of length, of the vessel, using the clock analogy
Clock_position
Clock designed to keep time for 10,000 years
90384°W / 31.44841; -104.90384 The Clock of the Long Now, also called the 10,000-year clock, is a mechanical clock under construction that is designed
Clock_of_the_Long_Now
Clock regulated by a pendulum
A pendulum clock is a clock that uses a swinging weight known as a pendulum as its timekeeping element. The pendulum is an approximate harmonic oscillator
Pendulum_clock
Time-telling device
using the angle of the sun. The people of Kush created sun dials through geometry. The Roman writer Vitruvius lists dials and shadow clocks known at that
Sundial
Clock used on ships to aid in navigation
an unsolved problem due to the difficulty in calculating longitude. Navigators could determine their latitude by measuring the sun's angle at noon (i.e
Marine_chronometer
Angle between two objects
bearing or azimuth is the horizontal angle between the direction of an object and north or another object. The angle value can be specified in various angular
Bearing_(navigation)
Horizontal angle from north or other reference cardinal direction
Clock position Course (navigation) Inclination Longitude Latitude Magnetic declination Panning (camera) Relative bearing Sextant Solar azimuth angle Sound
Azimuth
Measured time difference as explained by relativity theory
relative to the resting frame of the clock (right part of diagram), the light pulse is seen as tracing out a longer, angled path 2D. Keeping the speed of light
Time_dilation
Type of spring
the opposite direction, proportional to the amount (measurable like an angle, but theoretically capable of exceeding 360° or 2π radians) it is twisted
Torsion_spring
Early clock mechanism
earliest known type of mechanical escapement, the mechanism in a mechanical clock that controls its rate by allowing the gear train to advance at regular
Verge_escapement
English clockmaker (1693–1776)
the reference place. Harrison set out to solve the problem directly by producing a reliable clock that could keep the time of the reference place accurately
John_Harrison
Mechanism for regulating the speed of clocks
watches and clocks that gives impulses to the timekeeping element and periodically releases the gear train to move forward, advancing the clock's hands. The
Escapement
Electronic control system
input frequency. These properties are used for clock synchronization, demodulation, frequency synthesis, clock multipliers, and signal recovery from a noisy
Phase-locked_loop
Curve for which the time to roll to the end is equal for all starting points
8r} . The simplest solution to the tautochrone problem is to note a direct relation between the angle of an incline and the gravity felt by a particle
Tautochrone_curve
Record of humanity's attempts to find east-west position on Earth
is the same at both locations, so the longitude problem reduces to finding a way to coordinate clocks at distant places. Early approaches used astronomical
History_of_longitude
Streamlined body for generating lift
its angle of attack. Most foil shapes require a positive angle of attack to generate lift, but cambered airfoils can generate lift at zero angle of attack
Airfoil
Apparent solar time minus mean solar time
solar time can be obtained by measurement of the current position (hour angle) of the Sun, as indicated (with limited accuracy) by a sundial. Mean solar
Equation_of_time
Mathematical model combining space and time
clocks as running slower than her own. But during the turnaround (i.e. between the bold blue lines in the figure), a shift takes place in the angle of
Spacetime
Mechanism with bendable rotation axis
_{1}} the angle of rotation for axle 1 γ 2 {\displaystyle \gamma _{2}} the angle of rotation for axle 2 β {\displaystyle \beta } the bend angle of the joint
Universal_joint
Seasonal change of clock settings
of advancing clocks to (in theory) make better use of the longer daylight available during summer by having darkness fall at a later clock time. The typical
Daylight_saving_time
Mechanism for regulating the speed of clocks
grandfather clock whose pendulum has a swing of 6° and thus an amplitude of 3° (0.05 radians), the difference between the true period and the small angle approximation
Pendulum
Elapsed fraction of a cycle of a periodic function
{\displaystyle F} . In the clock analogy, this situation corresponds to the two hands turning at the same speed, so that the angle between them is constant
Phase_(waves)
Calculation of elapsed time by the apparent position of the sun
degrees it will be 14:00 exactly. The problem is that in September the Sun takes less time (as measured by an accurate clock) to make an apparent revolution
Solar_time
Spreading the frequency domain of a signal
States, JEITA in Japan and the IEC in Europe). Spread-spectrum clocking avoids this problem by reducing the peak radiated energy and, therefore, its electromagnetic
Spread_spectrum
Part in mechanical clocks
all mechanical watches, as well as small mechanical non-pendulum clocks, alarm clocks, and kitchen timers. An escapement is a mechanical linkage that delivers
Lever_escapement
Theory of interwoven space and time by Albert Einstein
a clock. Moving clocks run slower. Two events measured at the same time on a stationary clock occur at different times if measured on moving clocks. At
Special_relativity
Navigation using astronomical objects to determine position
calculation. The longitude problem took centuries to solve and was dependent on the construction of a non-pendulum clock (as pendulum clocks cannot function accurately
Celestial_navigation
Rotating circular machine part with teeth that mesh with another toothed part
teeth project at right angles to the plane. A crown gear is also sometimes meshed with an escapement such as found in mechanical clocks. Gear teeth typically
Gear
Natural number
and often implies a situation of urgent danger or emergency (see Doomsday clock). "The eleventh hour" is a phrase in the Parable of the Workers in the Vineyard
11_(number)
Mechanical calculating device
control problem to the movement of one's own ship and that of a target ship. It was often used with other devices, such as a Vickers range clock, to generate
Dumaresq
Computation machine that uses continuously varying data technology
control problem to the movement of one's own ship and that of a target ship. It was often used with other devices, such as a Vickers range clock to generate
Analog_computer
Science of measuring the shape, orientation, and gravity of Earth
by optical clocks. Geographical latitude and longitude are stated in the units degree, minute of arc, and second of arc. They are angles, not metric
Geodesy
British radio navigation system
primary parts, an oscillator to produce a whistle at 1 kHz, and a mechanical clock with electrical contacts to periodically switch the oscillator and DF broadcast
Pip-squeak
Graph of space and time in special relativity
that an object moving at the speed of light is depicted as following a 45° angle to the diagram's axes. In the study of 1-dimensional kinematics, position
Spacetime_diagram
Particular mapping that projects a sphere onto a plane
functions. The fundamental problem of cartography is that no map from the sphere to the plane can accurately represent both angles and areas. In general,
Stereographic_projection
American comedy TV series
Room". In every episode, they aid many clients with problems and think up creative ways to solve problems. They are often aided by Warehouse Mouse, the freeloading
Imagination Movers (TV series)
Imagination_Movers_(TV_series)
Astrological chart or diagram
(Ascendant, East Angle, rising sign, or ASC/AC) Tenth House (Midheaven, Medi Coeli (midheaven), North Angle, MC) Seventh House (Descendant, West Angle, setting
Horoscope
First global radio navigation system for aircraft
end of different hops. The problem of synchronizing very distant stations was solved with the introduction of the atomic clock in the 1950s, which became
Omega_(navigation_system)
Time standard based on the slowing rotation of the Earth
(GMT), the mean solar time at Greenwich, England, to solve this problem: all clocks in Great Britain were set to this time regardless of local solar
Universal_Time
Dutch mathematician and physicist (1629–1695)
inventor, he improved the design of telescopes and invented the pendulum clock, the most accurate timekeeper for almost 300 years. A talented mathematician
Christiaan_Huygens
English physicist and inventor (1802–1875)
electro-magnetic clock in the library of the Royal Society, and propounded a plan for distributing the correct time from a standard clock to a number of
Charles_Wheatstone
Historic site in Swanage, Dorset
any structural problems. Gower, Rachel (March 2016). "The Wellington clock tower". Dorset Life. Retrieved 2 January 2020. "The Clock Tower". British
Wellington_clock_tower
Scientific phenomenon
receiver. However, due to relativistic effects, clocks on the receiver are time dilated relative to clocks at the source: t r = t r , s / γ {\displaystyle
Relativistic_Doppler_effect
Use of distances for determining unknown coordinates of a point
Euclidean distances (slant ranges) or spherical distances (scaled central angles), as in true-range multilateration; or biased distances (pseudo-ranges)
Trilateration
Diagrammatic representation of Sun's position over a period of time
course of a year. The change of position is a result of the shifting of the angle in the sky of the path that the Sun takes in respect to the stars (the ecliptic)
Analemma
quantity called angle on the bow. Angle on the bow is the angle made by the ship's course and the line of sight (see Figure 1). The angle on the bow was
Mathematical discussion of rangekeeping
Mathematical_discussion_of_rangekeeping
Branch of mathematics
early versions of sun clocks. In the 7th century BC, the Greek mathematician Thales of Miletus used geometry to solve problems such as calculating the
Geometry
Geolocation system
criteria they use: received signal strength indication (RSSI), fingerprinting, angle of arrival (AoA) and time of flight (ToF). In most cases the first step
Wi-Fi_positioning_system
Multiple proofs regarding Earth's approximately spherical shape
Earth's orbit, and its tilt. The differences in clock time between cities was not generally a problem until the advent of railroad travel in the 1800s
Empirical evidence for the spherical shape of Earth
Empirical_evidence_for_the_spherical_shape_of_Earth
Electromechanical device
logic which is paced by a clock signal. However, the incoming encoder signals are asynchronous with respect to the interface clock because their timing is
Incremental_encoder
English conspiracy theorist (born 1952)
orderly during World War II, and after the war became a clerk in the Gents clock factory. The family lived in a terraced house on Lead Street in the centre
David_Icke
Property of certain dynamical systems
this implies the Liouville–Arnold theorem; i.e., the existence of action-angle variables. General dynamical systems have no such conserved quantities;
Integrable_system
Using distance measures along a shape's edges to determine position in space
enabled by the development of atomic clocks; it requires that the vehicle (user) and stations having synchronized clocks. It has been successfully demonstrated
True-range_multilateration
Concept that simultaneity depends on choice of reference frame
Libraries. New-York : Published by Daniel Adee. S A Klioner (1992), "The problem of clock synchronization - A relativistic approach", Celestial Mechanics and
Relativity_of_simultaneity
Watch made to be carried in a pocket
offers him a "pocket clock" better than that belonging to the Duke of Modena. By the end of the 15th century, spring-driven clocks appeared in Italy, and
Pocket_watch
Electronic oscillator circuit
used to keep track of time, as in quartz wristwatches, to provide a stable clock signal for digital integrated circuits, and to stabilize frequencies for
Crystal_oscillator
Weapon guidance system utilizing the target's infrared emissions to track it
sensitive to the angle around the clock face, the bearing, but not the angle between the target and the missile centerline, the angle off (or angle error). This
Infrared_homing
WWII UK air defence network
a sector clock marking off five-minute intervals. As plots were called in, the plotters used markers with the colour pointed to by the clock, which produced
Dowding_system
Science behind the motion of bicycles and motorcycles
{\displaystyle R_{w}} is wheel radius, A h {\displaystyle A_{h}} is the head angle measured clock-wise from the horizontal and O f {\displaystyle O_{f}} is the fork
Bicycle and motorcycle dynamics
Bicycle_and_motorcycle_dynamics
Pattern used within a communications system to represent digital data
inverted syncwords are detected, perhaps using polarity switching For reliable clock recovery at the receiver, a run-length limitation may be imposed on the
Line_code
Experiment studying human circadian clocks
to test whether humans, like other species, have an intrinsic circadian clock. It was started by Jürgen Aschoff and Rütger Wever of the Max Planck Institute
Bunker_experiment
1912 maritime disaster
section increased until Titanic reached a down angle of about ten degrees. At about 02:15, Titanic's angle in the water began to increase rapidly as water
Sinking_of_the_Titanic
Mechanism that converts motion, and forces, from rotational to linear
The thread angle is the included angle, measured at a section parallel to the axis, between the two bearing faces of the thread. The angle between the
Screw_mechanism
Line between the poles with the same longitude
meridian is the locus connecting points of equal longitude, which is the angle (in degrees or other units) east or west of a given prime meridian (currently
Meridian_(geography)
Unexplained observed excessive energy during Earth flybys of spacecraft
Unsolved problem in physics What causes the unexpected change in acceleration for flybys of spacecraft? More unsolved problems in physics The flyby anomaly
Flyby_anomaly
1994 US comedy film by the Coen brothers
wide-angle shot, moving closer towards Tim Robbins, who was standing in a full sized set, which they inserted inside the shot of the model clock. "Marrying
The_Hudsucker_Proxy
Chronic sleep disorder
phase disorder, is the delaying of a person's circadian rhythm (biological clock) compared to those of social norms. The disorder affects the timing of biological
Delayed_sleep_phase_disorder
Condition due to travel across time zones
phase angle of entrainment and may show a leftward shift in their PRC, meaning their window for phase shifting occurs earlier relative to clock time than
Jet_lag
Ottoman polymath (1526–1585)
more than ninety books on a wide variety of subjects, including astronomy, clocks, engineering, mathematics, mechanics, optics, and natural philosophy. In
Taqi ad-Din Muhammad ibn Ma'ruf
Taqi_ad-Din_Muhammad_ibn_Ma'ruf
Mathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD
the Hellenistic age, three construction problems in geometry became famous: doubling the cube, trisecting an angle, and squaring the circle, all of which
Ancient_Greek_mathematics
Mathematical theory of the geometry of space and time
that the ground clock is running slow, and can confirm this by bringing the tower clock down to compare side by side with the ground clock. For a 1 km tower
Curved_spacetime
Navigation and surveillance technique
also illustrating how to convert a problem from TDOA to TOT by incorporating an additional equation and an unknown clock bias. The TOT solution outperforms
Pseudo-range_multilateration
Compact astronomical body
requires an independent measurement of the black hole mass and inclination angle of the accretion disk followed by computer modelling. Gravitational waves
Black_hole
1714 British prize for ship's chronometers
Higgitt, Rebekah (2014). Finding longitude: how clocks and stars helped solve the longitude problem. Glasgow: Collins. ISBN 9780007525867. Royal Observatory
Longitude_rewards
Quantity in relativistic physics
the frame in which the clock is moving, is longer than the time (∆t) between these ticks as measured in the rest frame of the clock: Δ t ′ = γ Δ t . {\displaystyle
Lorentz_factor
Decreased ability to see
of vision such that the widest diameter of the visual field subtends an angle no greater than 20 degrees shall be considered for purposes of the first
Visual_impairment
2023 smartphone by Apple
was applied on those hollow spots; on the durability test video, in some angles, the glass is noticeably caved in to the phone, further proving that it
IPhone_15_Pro
Bug in the Intel P5 Pentium floating-point unit
algorithm. The SRT algorithm can generate two bits of the division result per clock cycle, whereas the 486's algorithm could only generate one. The lookup table
Pentium_FDIV_bug
German longwave time signal radio station
wavelength) carrier signal is generated from local atomic clocks that are linked with the German master clocks at the PTB in Braunschweig. The DCF77 time signal
DCF77
1966 NASA crewed spaceflight
who had written his PhD on the rendezvous, used a sextant to measure the angle between the spacecraft and the Agena, and then calculated the required actions
Gemini_12
Property of waves that can oscillate with more than one orientation
vibrations can be in a vertical direction, horizontal direction, or at any angle perpendicular to the string. In contrast, in longitudinal waves, such as
Polarization_(waves)
Stabilisierte Leitstand measured distance, bearing and height of the target. Angles for bearing and height were taken through an optical sight, whilst distance
Stabilisierter_Leitstand
Railway terminal in Manhattan, New York
square-framed clock is installed in the ceiling near Tracks 108 and 109. It was manufactured at an unknown time by the Self Winding Clock Company, which
Grand_Central_Terminal
East-West geographic coordinate
much harder than on land, and pendulum clocks do not work well in these conditions. In response to the problems of navigation, a number of European maritime
Longitude
Process of aiming an artillery piece or turret
against the arc showed the elevation angle. This led to many calculations relating elevation angle to range. The problem was that these calculations assumed
Gun_laying
Simulation of the appearance of being three-dimensional
(sometimes called three-quarter view when the environment is portrayed from an angled top-down perspective), which refers to 2D graphical projections and similar
2.5D
Racket sport
death. If the score is 0–0 when the clock stops the clock is reset and the game restarts. For Let Calls the clock reverts to the start time of that point
Squash_(sport)
Device to reflect radiation back to its source
of angle of incidence, unlike a planar mirror, which does this only if the mirror is exactly perpendicular to the wave front, having a zero angle of incidence
Retroreflector
American satellite-based radio navigation service
using accurate atomic clocks placed in orbit inside artificial satellites. Special and general relativity predicted that the clocks on GPS satellites, as
Global_Positioning_System
Device to demonstrate Earth's rotation
of a pendulum every oscillation, which is achieved if the pendulum swing angle is 2.1°. Foucault explained his results in an 1851 paper entitled Physical
Foucault_pendulum
Distance from center of Earth to center of Moon
equipment needed is a modern digital camera (equipped with an accurate clock, and a GPS receiver). Other experimental methods of measuring the lunar
Lunar_distance
Form of particle interferometry
particle transition frequencies. Ramsey's method is used today in atomic clocks and in the SI definition of the second. Most precision atomic measurements
Ramsey_interferometry
Ordering of binary values, used for positioning and error correction
each other but all three bits of the binary representation differ: The problem with natural binary codes is that physical switches are not ideal: it is
Gray_code
US torpedo of WWII
torpedo impacted the target at an oblique angle. Once the magnetic influence exploder was deactivated, problems with the contact exploder became more apparent
Mark_14_torpedo
Samuel Johnson which indicate bewilderment. White rabbit pointing at a clock – An illustration depicting the Alice In Wonderland character White Rabbit
List_of_Internet_phenomena
Device that transmits rotational power into linear thrust on a fluid
taking care to keep presenting the blade to the water at the effective angle. The innovation introduced with the screw propeller was the extension of
Propeller
German WWII heavy tank
When engaging targets, Tiger crews were encouraged to angle the hull to the 10:30 or 1:30 clock position (45 degrees) relative to the target, an orientation
Tiger_I
Physical constant with no units
one relevant dimensionless number of the problem. However, it is strictly related to the particular problem: for example, it is related to the airfoil
Dimensionless physical constant
Dimensionless_physical_constant
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
Female
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger."Â Originally a male name, it is now almost strictly female.
Girl/Female
French
Angel.
Girl/Female
Muslim
Clock
Male
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger." Once used as a man's name in England. It is now almost strictly a feminine name.
Girl/Female
Arabic, Muslim
Clock
Boy/Male
German, Swedish
Angel; Bright Angle
Surname or Lastname
English and Irish (of Norman origin)
English and Irish (of Norman origin) : topographic name from Middle English and Old French angle ‘angle’, ‘corner’ (Latin angulus). As an Irish surname, it can also be habitational, from a place in Pembrokeshire, South Wales, named with this word.Americanized spelling of German Angel or Engel.
Female
English
English short form of Latin Angela, ANGIE means "angel, messenger."
Surname or Lastname
German and Dutch
German and Dutch : from Middle High German bloch, Middle Dutch blok ‘block of wood’, ‘stocks’. The surname probably originated as a nickname for a large, lumpish man, or perhaps as a nickname for a persistent lawbreaker who found himself often in the stocks.English : possibly a metonymic occupational name for someone who blocks, as in shoemaking and bookbinding, from Middle English blok ‘block’.Jewish (Ashkenazic) : Americanized spelling of Bloch (see Vlach).Adriaen Coertsz Block was a Dutch-born merchant-explorer who traded along the CT coast and Long Island shortly after Hudson’s voyage to the region in 1609. Block Island, between the north fork of Long Island and RI, which he used as a base of operations, is named after him.
Surname or Lastname
Americanized spelling of German Krock.English
Americanized spelling of German Krock.English : perhaps a metonymic occupational name for a potter, from Middle English crock ‘pot’.
Girl/Female
Greek American Italian Latin
Messenger or angel. A popular masculine name in Sicily after the 13th-century saint, Angel. Angel...
Boy/Male
American, British, Danish, English, French, German, Greek, Hindu, Indian, Latin, Spanish
Messenger of God; Angel; Messenger
Girl/Female
Christian, French, German, Greek
Angel; A Messenger from God
Male
French
French name ANGE means "angel, messenger." Compare with feminine Ange.
Boy/Male
Spanish American Greek Latin
Angel.
Girl/Female
British, English, Greek, Latin
Angel
Girl/Female
Latin American Greek
Angel; Like an angel. From angelicus meaning angelic.
Boy/Male
American, Danish, French, German, Greek, Indian, Italian, Spanish
Angel
Female
English
English short form of Latin Angela, ANGE means "angel, messenger." Compare with masculine Ange.
Surname or Lastname
English
English : topographic name for someone who lived on a small plot of land, from Middle English plocke ‘small piece of ground’.Americanized spelling of German Ploch.Variant of German Block.
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
Boy/Male
Australian, Bengali, Christian, Danish, French, German, Indian, Irish, Latin
Lives Near the Sea; From the Still Water; Dead Sea
Male
German
Variant spelling of Old High German Wendel, WENDELL means "a Wend; a wanderer," a term used to refer to migrant Slavs in the sixth century.Â
Girl/Female
Arabic, Indian, Muslim, Punjabi, Sikh
Wise Women
Boy/Male
British, English
Counsel from the Elves
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Modest
Male
English
Anglicized form of Greek Iaret (Hebrew Yered), JARED means "descent." In the bible, this is the name of the father of Enoch and a descendant of Judah. Also spelled Jered.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Mythological, Sanskrit, Sindhi, Telugu
Radiant Like Flames; Goddess Durga; A Star
Girl/Female
Tamil
Content
Male
Native American
Native American Sioux name ENAPAY means "brave."
Boy/Male
Tamil
Dheivamani | தேஇவாமாநீ
Blessed gem
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
CLOCK ANGLE-PROBLEM
imp. & p. p.
of Angle
n.
See Ankle.
v. t.
To flock to; to crowd.
a.
Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc.
n.
The difference of direction of two lines. In the lines meet, the point of meeting is the vertex of the angle.
v. t.
To cause to dangle; to swing, as something suspended loosely; as, to dangle the feet.
v. t. & i.
To call, as a hen. See Cluck.
v. t.
To lay up in a crock; as, to crock butter.
v. i.
To fish with an angle (fishhook), or with hook and line.
n.
The striking of a clock.
n.
To shape on, or stamp with, a block; as, to block a hat.
v. t.
To stop or fasten, as with a wedge, or block; to scotch; as, to chock a wheel or cask.
a.
Having acute angles; as, an acute-angled triangle, a triangle with every one of its angles less than a right angle.
adv.
Entirely; quite; as, chock home; chock aft.
a.
Containing a right angle or right angles; as, a right-angled triangle.
n.
A click. See 3d Click, 2.
a.
Having oblique angles; as, an oblique-angled triangle.
n.
One who angles.
v. i.
To use some bait or artifice; to intrigue; to scheme; as, to angle for praise.