A bicyclist starting at rest produces a constant angular acceleration of 1.30 rad/s2 for wheels that are 35.0 cm in radius.   (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.)   (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 12.0 m/s?   (c) How many radians have the wheels turned through in that time?   (d) How far (in m) has the bicycle traveled?

Q: A hamster running in a wheel of radius 15 cm spins the wheel at 16 revolutions per minute. Round…

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Q: high-speed drill reaches 2200 rpmrpm in 0.51 s. a) What is the drill's angular acceleration?…

A: According to the question data ωo=0 rad/s ω=2200 rpm t=0.51 sec We need to find (a) Angular…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high- g…

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Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: An advertisement claims that a centrifuge takes up only 0.127 m of bench space but can produce a…

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Q: Two gears are connected by a chain. The larger gear has a linear velocity of 12 inches per second.…

A: linear velocity (v) of larger gear = 12π5 inchsAngular velocity (ω)  of smaller gear= 32π3 radmin

Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 13 s. Its blades…

A: We have to use some basic formula here

Q: An engine flywheel initially rotates counterclockwise at 6.83 rotations/s. Then, during 25.1 s, its…

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Q: A wheel with a radius of 0.4 meters initially at rest and begins to accelerate at 4 rad/s2. How many…

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Q: Convert 46.0° to radians.  rad (b) Convert 20.0 rad to revolutions.  rev (c) Convert 71.0 rpm to…

A: (a) The angle's magnitude is given as θ=46° The angle in terms of radians is given as: θ=46°×π…

Q: A child sits on a merry-go-round that has a diameter of 4.00 m. The child uses her legs to push the…

A: Given data: Diameter of the merry go round d = 4m  Initial angular speed, ωi= 0  Final angular…

Q: Convert 51.0° to radians.  rad (b) Convert 17.0 rad to revolutions.  rev (c) Convert 79.0 rpm to…

A: a) The mathematical procedure to convert an angle to radian is given as, rad=θ×π rad180°=51°×π…

Q: centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched off,…

A: Given that,initial angular speed:ω0=3800 revminω0=3800×2π60=397.93 radsecAngular displacement∆θ=…

Q: An astronaut is inside a centrifuge that has a radius of 10 m. The astronaut starts from rest and…

A: The angular acceleration of a body is given as α=v2r…

Q: A Ferris wheel turns at a constant 170.0 revolutions per hour. (a)   Express this rate of rotation…

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,550 rev/min. When switched…

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Q: A compact disk player has just been turned off. A disk decelerates uniformly from an initial angular…

A: A disk decelerates uniformly from initial angular velocity- w0=8.65 rev/s The disk rotates through…

Q: A helicopter propeller blade starts from rest and experiences a constant angular acceleration of…

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.