For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where alpha = to the angular accleration. Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no radial acceleration when the disk is rolling without slippage?

Suppose the rotational kinetic energy of a solid disk is 1000 J when the disk has an angular velocity of 3 rad/s. What is the disk's moment of inertia? If the mass of the disk is 50 kg, what must be its radius? moment of inertia: A. 276.5 kg-m? B. 222.2 kg-m? D. 238.5 kg-m? E. 239.2 kg-m? С. 175.9 kg-m? F. 170.3 kg-m? /--/ radius: А. 2.490 m D. 2.536 m В. 2.981 m Е. 3.341 m С. 3.212 m F. 3.195 m

A disk is initially rotating counterclockwise around a fixed axis with angular speed w0. Answer the questions below. A. What is the net torque acting on the disk if the radius is 0.6 m? B. If the moment of inertia of the disk is 4kg ∙ m^2, what is the angular acceleration of the disk? C. If the initial angular velocity is 6 rad/s counterclockwise, what is the angular velocity after 10 seconds? D. What happens to the angular velocity of the disk over time? Sketch a graph!

If a flywheel is initially moving at an angular velocity Wi = 10 rad/s and accelerates to a final angular velocity Wf = 400 rad/s in a time of 3 seconds, calculate: a.) the angular acceleration (alpha = a) b.) the angular displacement (theta)

A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7 kilograms, inner radius 25 centimeters, and outer radius 32 centimeters; and eight spokes of mass 0.50 kilograms and length 49 centimeters. a. What is the moment of inertia? Include units in your answer. More information. b. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 311 newtons at the inner radius, while the helmsman applies a force of 287 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer.

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For a solid disk, I= 1⁄2 mr?. If a solid disk of mass=5.0 kg has a radius of .25 m has force of 12 N exerted at the rim: (Remember significant digits.) a.) What is the angular moment of inertia (I)? kgm2 b.) What is the magnitude of the torque exerted? Nm c.) What is the magnitude of the angular acceleration of the disk? rad/s?

The uniform 22-kg plate is released from rest at the position shown. (Figure 1) Figure A x 0.5 m- 1 of 1 0.5 m> Part A Determine its initial angular acceleration. Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. a = Submit Part B 195| ΑΣΦ. 41 Request Answer vec ? rad/s2 Review Determine the x and y components of reaction at the pin A using scalar notation. Express your answers in newtons to three significant figures separated by a comma.

A small 550-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius 0.90 mm . a. Calculate the moment of inertia of the ball about the center of the circle. b. Calculate the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.028 NN on the ball. Ignore air resistance on the rod and its moment of inertia.

Please answer, thanks. Dynamics..

20. A disk with radius 50.0 [m] rotates at a rate of 1.50 [rad/s]. What is the tangential speed at the edge of the disk? A. 0.03 [m/s] C. 33.3 [m/s] B. 8.66 [m/s] D. 75.0 [m/s]

A solid cylinder of radius 13.0 cm rolls down an incline with slipping. The angle of the incline is 25°. The coefficient of kinetic friction on the surface is 0.451. What is the angular acceleration (in rad/s2) of the solid cylinder? (Enter the magnitude.) rad/s2 What is the linear acceleration (in m/s2)? (Assume v> ar. Enter the magnitude.) m/s2

Computation. Mounted for repair, a 3.4-kg bicycle tire has a radius of 32 cm. It rotates through an angle of 23.9 rad as it slows uniformly from 28.9 rad/s to 17.7 rad/s. Find the magnitude of its angular acceleration. a = rad/s2 Record your numerical answer below, assuming three significant figures. Remember to include a "_" as necessary. O Search C &