Calculate the angular momentum of a solid uniform sphere with a radius of 0.120m and a mass of 14.5kg if it is rotating at 6.15rad/s about an axis through its center.

Question

Part B
Calculate kinetic energy of a solid uniform sphere with a radius of 0.120m and a mass of 14.5kg if it is rotating at 6.15rad/s about an axis through its center.

Answer 1

Part a)

Moment of Ineria for a sphere (formula is different depending on the shape:

I = (2/5)*m*r^2

I = (2/5)*14.5*.120^2 = .0835

Angular momentum = I * angular velocity

.0835 * 6.15 = .51 kgm^2/s

Part B)

Kinetic energy = (1/2)*.0835*(6.15)^2 = 1.579 J

Answer 2

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