If the linear velocity of an object is 8m/s and is located at a distance of 4m from the axis of rotation, what is the object's angular velocity? A. 2 rad/s B. 3 rad/s C. 4 rad/s D. 12 rad/s If an object's angular velocity changes from 5 rad/s to 9 rad/s in 3 seconds. What is the object's angular acceleration? A. 1 rad/s2 B. 1.3 rad/s2 C. 1.2 rad/s2 D. 1.4 rad/s2

Q: A centrifuge spins from rest with an angular acceleration of 226 rad/s?. What is the angular speed…

A: Initial Angular speed = 0 rad /s (spins from rest) Angular acceleration = 226 rad /s2 Time t = 2 s

Q: 6. A ball on a string has a moment of inertia of 12.5 kg · m2. It experiences a torque of 5 m N. a.…

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Q: An 7.00-cm-diameter, 370 g hollow sphere is released from rest at the top of a 1.90-m-long, 20.0*…

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Q: A tire is rotating with angular speed of 350 rev/min. Its angular speed in radians per second is: (1…

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Q: A battery-driven Percy engine goes around a track (radius 23 cm) in 70 seconds. What is its angular…

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Q: The bicycle tire shown has total mass of 1.10 kg and a radius of 12.0 cm. The wheel is initially…

A: As per guidelines, only 3 subparts are solved here. Given, mass, m = 1.10 kg  radius = 12.0 cm =…

Q: A gyroscope slows from an initial rate of 33 rad/s at a rate of 0.54 rad/s^2. a. how long (in s)…

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Q: What is the magnitude of torque that would need to be applied to stop the motion of a 10-kg ball…

A: Calculate the change in angular momentum. ΔL= I(ωi - ωf)     = (10*102)(5 - 0)    = 5000 kgm2s-1

Q: A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels…

A: The given problem can be solved using kinematical equations for rotational motion. These equations…

Q: A wheel of diameter 13 cm has a 5 m cord wrapped around its periphery. Starting from rest, the wheel…

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Q: Suppose you are whirling the ball at the end of the string with an angular velocity of rad. s Then…

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Q: A wheel has its speed increased from 120 to 240 r/min in 20 s. a. What is the angular acceleration?…

A: Given that,The initial angular speed of wheel : 120 (rpm)The final angular speed of wheel : 240…

Q: A bicycle with 0.80-m-diameter tires is coasting on a level road at 5.6 m/s. A small blue dot has…

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Q: Calculate the angular momentum of a 75kg person who sits 4m from the center of a rotating merry go…

A: To determine: The angular momentum of the person playing merry go round   Given: Mass of person,…

Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…

A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…

Q: A figure skater begins to spin in an angular speed w about a vertical axis with her arms…

A: Given : Initial angular speed of the skater = ω Initial Moment of inertia of the skater = I Final…

Q: A 1.6-kg ball of radius 25 cm rolls across level ground at 4.0 m/s without slipping. What is its…

A: mass = 1.6 kg Radius = 25 cm  = 0.25 m Speed = 4 m/s Using relation between linear and angular speed…

Q: 2. A 2 kg uniform stick has length of 0.3 [meters] and is turning around a central axis at 6.28…

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Q: A merry-go-round is spinning at a rate of 3.03.0 revolutions per minute. Cora is sitting 0.50.5 m…

A: Given that distance of Cora from the centre and distance of Cameron from the centre and also given…

Q: 26. A skater is spinning at 1 rev/s with her arms outstretched so that her moment of inertia is 2.4…

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Q: 5t - 21, with a in rad/s2 and t in seconds. At time t = 0, the wheel has an angular velocity of -3.0…

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Q: The following figure shows the cross section of a cylinder of radius 4.4 m rotating about its axis…

A: Given: The radius of cylinder, r = 4.4 m The angular velocity, w = 8.3 rad/s

Q: A horizontal platform in the shape of a circular disk is rotating (without friction) about its…

A: Introduction: 1) Moment of Inertia: It is property possessed by the body which resist rotational…

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A centrifuge spins from rest with an angular acceleration of 226 rad/s2. What is the angular speed…

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Q: A Ferris wheel is rotating with an angular speed of 0.240 rad/s. An angular acceleration of 0.030…

A: Here we use equation of motion that can be applied only for constant angular acceleration

Q: Lay vase on a potter's wheel experiences an angular acceleration of 8.0 rad/s2 due to the…

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Q: An object of mass ?1 is tied to a string and allowed to revolve in a circle of radius ? on a…

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Q: Elgato has a flywheel. It rotates about its central axis. It starts from a rest and accelerates…

A: Given Initial angular velocity ωο = 0  final angular velocity ω = 70.9 rad/s   number of ravolution…

Q: Find L of a disk with a mass of 6 kg with a diameter of 1.8 meters if it rotates about its center at…

A: Given: Mass of disk, m = 6 kg Diameter of Disk, d = 1.8 m Angular speed of disk = 257.78 rpm

Q: A car with 58-cm-diameter tires accelerates uniformly from rest to 20 m/s in 10 s. How many times…

A: Diameter of tires ( d ) = 58 cm  Initial velocity of car ( u ) = 0 m/s  Finial velocity of car ( v )…

Q: A spinning disk with a mass of 12 kg and a radius of 2 m has an angular velocity of 3 rad/s. What is…

A: Solution:          Rotational kinetic energy of a disc            K.∈=12I ω2…

Q: A net external torque of magnitude 64.0 Nm is applied to a disk of mass 10.0 kg. It rotates about…

A: Concept: To Determine the Radius of the Disk, we will use the Formula of the Moment of Inertia of…

Q: A bicycle tire is rotating counterclockwise at 3.141 rad/s. Over the course of 10.0 seconds, the…

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Q: 5. A car m = 1230. kg has wheels with a radius R = 0.230 m. The car starts at rest and the wheels…

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Q: A CD originally spinning at 34.0 rad/s (325 rpm) slows down uniformly until it comes to a full stop…

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Q: A disc is rotating at constant angular acceleration of 2 rad/s^2. At t=0, the angular velocity = -5…

A: The final angular velocity ω at a time t can be given by the relation: ω=ω0+αt where α is the…

Q: Suppose a flywheel originally has an angular velocity of 45.0 rad/s in the counterclockwise sense.…

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Q: ack and Jill ran up the hill at 2.9 m/s. The horizontal component of Jill's velocity vector was 2.5…

A: Given: The velocity of Jack and Jill is 2.9 m/s. The horizontal component of the velocity is 2.5…

Q: The rotating blade of a blender turns with a constant angular acceleration 1. 50[rad/s²]. A. How…

A: Solution: given thatangular acceleration α=1.5 rad/s2anguar velocity ω =36 rad/s

Q: 36. A wheel rotates with a constant angular acceleration of 3.5 rad/s^2. If the angular velocity of…

A: Answer  option(b) 9 rad/s

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.