A grindstone of mass M=30 kg and radius 0.50 m start from rest and experiences a constant angular acceleration, α, of 3.00 rad/s2. After 2 seconds… a. Find the angular displacement (θ)? Find the angular speed (ω)? b. Find the distance traveled in meters of a point on the rim of the grindstone (after 2 sec). Also Find the speed, v, of a point on the rim (after 2 sec.). c. Find the tangential acceleration of a point on the rim (after 2 sec.) and find the centripetal acceleration on the rim (after 2 sec). If the grindstone is considered a solid disc with I=MR2/2, find the torque necessary for it to have the given angular acceleration?

An optical disk drive in your computer is spinning at 10,000 rpm (1045 rad/s).  It decelerates to a rest in 0.42 s.   a. Find the rotational inertia of the disk given that its mass is 17 grams. b. Find the magnitude of the torque required to decelerate the disk.

Nilo.p A baseball bat is swung with an angular velocity of 500°/s and has a radius of 1.2m. What is the linear velocity of the baseball bat?

Answer the following question You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a hollow sphere. All of them have the same mass ?m, and radius ?R. They are all put on an incline plane of hight ℎh, and angle ?θ. 1a) Derive a formula for the final speed at the bottom of the ramp in terms of ?,?,ℎ,?m,R,h,I, and ?θ. 1b) Which one will get to the bottom first? (Hint: ?I is for Rotational Inertia).

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.

The angular speed of a wheel decreases uniformly from 34.0 rad/s to 2.0 rad/s in 18.0 s.A. Find the constant angular acceleration in rad/s^2.B. Find the number of revolutions made by the wheel in this time.

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A wheel of radius 30.0 is rotating at a rate of 3.10 revolutions every 0.0810 s. 1. Through what angle does the wheel rotate in 1.00 s? 2. What is the linear speed of a point on the wheel's rim? 3. What is the wheel's frequency of rotation?

A Billiard Ball, radius 1.25 in and mass of 165 g , is released from rest and rolls down a smooth incline (like galileos ramp...) that is 8 ft long. The incline has a height of 4 in going to 0 inches in 8 ft. There I no slipping.  a. How many revolutions did the ball make going down the incline? b. What was the angular acceleration of the ball?c. What was the tangential acceleration of the ball?d. What’s the difference? e. How long does it take the billiard ball to reach the bottom of the ramp? f. How fast is it traveling at the bottom of the incline? (what are the balls angular AND tangential velocity at the bottom of the ramp?) How would all this change if we used a golf ball instead? (mass 56 g radius 0.5 in)