A merry-go-round accelerates from rest to 0.63 rad/s in 39 s Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it.

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: τ=Torque=9 NmI=Moment of inertiaα=Angular acceleration=20.55 rad/s2

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Q: • As an ice skater begins a spin, his angular speed is 3.04 rad>s.After pulling in his arms, his…

A: The initial angular momentum,   The final angular momentum,

Q: A particle is located at F= (4.0i + 3.5j+5.8k) m. A force F = (8.6j – 3.8k) N acts on it. What is…

A: The torque on the particle can be represented as, Here, F and r represent the applied force, and…

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Q: A 349 kg merry go round is set in motion by applying a 207 N force tangentially at the rim. For how…

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Q: A merry-go-round accelerates from rest to 0.63 rad/s in 33 s. Assuming the merry-go-round is a…

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Q: A0.65-m-diameter solid sphere can be rotated about an axis through its center by a torque of 11.0 m…

A: Let the mass of sphere is m Applying conservation of momentum Torque applied = Moment of inertia…

Q: A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much…

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Q: A merry-go-round accelerates from rest to 0.63 rad/srad/s in 39 ss. Assuming the merry-go-round is a…

A: Given: Initial angular velocity = 0 rad/s. Final angular velocity (v) = 0.63 rad/s. Time taken to…

Q: An object's moment of inertia is 2.5 kg⋅m2 . Its angular velocity is increasing at the rate of 3.4…

A: Given data:  Moment of inertia (I) = 2.5 kg.m2 Angular acceleration (α) = 3.4 rad/s2 Required: The…

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Q: The magnitude of net torque (in N.m) about a point at coordinate 7 (1î + 17) m when two forces F,=…

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Q: A wheel of inner radius r, = 13.4 cm and outer radius r, = 35.0 cm shown in the figure below is free…

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Q: A CD has a mass of 17 g and a radius of 6.0cm. When inserted into a player, the CD starts from rest…

A: Given information: The mass of the CD (m) = 17 g = 0.017 kg The radius of the CD (r) = 6.0 cm = 0.06…

Q: A rod of length L = 0.5 m and mass m = 1 kg is rotated from rest about one end by a torque of τ =…

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Q: A uniform disk has a mass of 0.911 K g and a radius of 1.371 m. Starting from rest , it accelerates…

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Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…

A: Given The final angular speed is ωf=12 rad/s. The rotation time of the wheel is t=3 s. The wheel…

Q: A hollow cylinder, of inner radius 0.28m and outer radius 0.41m, is rotating around an axis through…

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Q: An object has a moment of inertia of 10.82 k g ⋅ m 2, and a torque of 19.1 N ⋅ m is applied on it.…

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Q: A 429 kg merr-go-round in the shape of a solid disc is set in motion by applying a force…

A: Given Data : The mass of the merry-go-round is given as m = 429Kg. The radius of the merry-go-round…

Q: F 2 m A solid disk with a 2-m radius is subjected to a force of F = 9ON applied tangentially to its…

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Q: A 2-kg disk has a radius of 18 cm and rotates with an angular acceleration of 12 rad/s2 about an…

A: The tangential acceleration is given by  a =r α where, r is the radius, α is the angular…

Q: Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R…

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Q: A solid cylinder haas a mass of 1.5 kg and a radius of 0.264 m. The cylinder is placed on an…

A: Given information: The mass of the cylinder (m) = 1.5 kg The radius of the cylinder (r) = 0.264 m…

Q: A wheel has an initial clockwise angular velocity of 10 rad/s and a constant angular acceleration of…

A: The angular acceleration is a constant. Consider following formula for angular velocity to find…

Q: An object’s moment of inertia is 2.0 kg ⋅ m2. Its angular velocity is increasing at the rate of 4.0…

A: To solve the problem, we can use the equivalent of Newton's second law for rotational motions, τ=Iα…

Q: A machine part has the shape of a solid uniform sphere of mass 250 g and diameter 2.50 cm . It is…

A: Because of frictional force the torque produced is,

Q: A circular disk has a rotational inertia of 8.6 kg.m² and a constant angular acceleration of 9.8…

A: From kinematic relation for angular motion

Q: A grinding wheel is a uniform cylinder with a radius of 8.40 cm and a mass of 0.350 kg . a)…

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Q: A constant torque of 17.6N · m is applied to a grindstone for which the moment of inertia is 0.151kg…

A: Torque, T=17.6 Nm Moment of inertia, I=0.151 kgm2 Initial angular velocity,  Number of revolutions,

Q: Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120…

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Q: Complete the following statement: When a net torque is applied to a rigid object, it always produces…

A: Torque is a physical quantity which has tendency to rotate a body. Torque is rotational equivalent…

Q: A 0.65-m-diameter solid sphere can be rotated about an axis through its center by a torque of 11.0 m…

A: Given data The diameter of the solid sphere is given as d = 0.65 m. The torque is given as T = 11…

Q: A wheel of inner radius r, - 13.0 cm and outer radius r, = 35.0 cm shown in the figure below is free…

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Q: A merry-go-round accelerates from rest to 0.72 rad/s in 37 s. Assuming the merry-go-round is a…

A: From kinematics equation for rotations:

Q: A wheel of inner radius r, = 14.6 cm and outer radius r, = 35.0 cm shown in the figure below is free…

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Q: A child exerts a tangential 65.3 N force on the rim of a disk-shaped merry-go-round with a radius of…

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