Suppose a disk with constant angular velocity has rotational kinetic energy 1280 J. If the moment of inertia of the disk is 35 kg-m?, then what is its angular velocity?

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Consider a flat disk of radius 15cm. The mass per unit area is given as σ = 4r3 Calculate the disks mass and moment of inertia.

y 11 P a aa- X If a = 4 in, determine the moment of inertia about the x-axis located at point P.

help   An ice skater with a moment of inertia of 15 kg m2 spinning at 11 rad/s extends her arms, thereby changing her moment of inertia to 26 kg m2. Find the new angular velocity. Hint: conserve angular momentum!

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The Earth has a mass m = 6.0 x1024 kg, and a radius R = 6400 km. It rotates about its own axis and it orbits around the sun at a distance d = 1.5x1011 m. What is its total angular momentum of Earth due to:   Its spinning motion about its Its orbital motion about the

A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. b) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants. c) Find an expression for the angular velocity of the disk just before the hanging mass hits the ground. Write your answer in terms of q, a, and any necessary constants.

61. ao Conceptual Example 13 provides useful background for this problem. A playground carousel is free to rotate about its center on fric- tionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg · m². When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 0.750 m from the center, the angular velocity increases to 0.800 rad/s. What is the person's mass?

a 20 Nm torque acts on a wheel that has 150kgm^2 moment of inertia  1.calculate the angular acceleration of the wheel.