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Suppose in gravity free space a disc of mass m 0 rotates freely about a fixed horizontal axis through its centre. A thin cotton pad is fixed to its rim, which can absorb water. The mass of water dripping onto the pad is mu/2 kg per second. After what time will the angular velocity of the disc get reduced to half of its initial value?

Suppose in gravity free space a disc of mass m0 rotates freely about a fixed horizontal axis through its centre. A thin cotton pad is fixed to its rim, which can absorb water. The mass of water dripping onto the pad is mu/2 kg per second. After what time will the angular velocity of the disc get reduced to half of its initial value?

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Grade:12

1 Answers

Subhro samadder
13 Points
4 years ago
By conservation of angular momentum, 
Omega/2((mu/2×t)R^2+(m0×R^2)/2)=(m0×R^2)/2×omega
mu/2×t+m0/2=m0
t=m0/mu.   seconds

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