A sphere of uniform density with mass 21 kg and radius 0.8 m is spinning, making one complete revolution every 0.8 s. the center of mass of the sphere has a speed of 8 m/s. (a) what is the rotational kinetic energy of the sphere?

Question

Physics

Maleah

4 October, 10:37

A sphere of uniform density with mass 21 kg and radius 0.8 m is spinning, making one complete revolution every 0.8 s. the center of mass of the sphere has a speed of 8 m/s. (a) what is the rotational kinetic energy of the sphere?

+5

Answers (1)

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Marco Dawson · Answer 1

Using the equation;

TE = 1/2mv^2 (1+2); where k = 2/5 for a solid sphere; V is the velocity, and m is the mass.

Total energy = 0.5 * 21 * 8² (7/5)

= 940.8 J

The rotational kinetic energy of the sphere is 940.8 J