Calculate the angular momentum of a solid uniform with a radius of 0.105m and a

Question

Calculate the angular momentum of a solid uniform with a radius of 0.105m and a mass of 14.0kg if it is rotating at 5.60rad/s about an axis through its center.b)calculate kinetic energy of a solid uniform sphere with a radius of 0.105 and a mass of 14.0kg if it is rotating at 5.06rad/sabot an axis through its center? Calculate the angular momentum of a solid uniform with a radius of 0.105m and a mass of 14.0kg if it is rotating at 5.60rad/s about an axis through its center.b)calculate kinetic energy of a solid uniform sphere with a radius of 0.105 and a mass of 14.0kg if it is rotating at 5.06rad/sabot an axis through its center?

Explanation / Answer

Angular Momentum L = mvr = mrW^2

where m is mass

r is radius

W is angular speed = 5.6 rad/s

so

L = 14 * 0.105 * 5.6* 5.6

L = 46.1 Kgm^2/s

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b. total kinetic energy KE = 0.5 IW^2

Here I is MOI of solid sphere = 2MR^2/5

I = 2* 14* 0105* 0.105/5

I = 61.74 Kgm^2

so

KE = 0.5 IW^2

KE = 0.5 * 61.74 * 5.06 * 5.06

KE = 790.38 Joules

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