A fan is rotating with an angular speed of 150π rad/s. After switching it off, it takes 10 minutes to stop. Find the total number of revolutions made before the fan stops. (Assume constant angular retardation)
A
45000π
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B
22500π
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C
50000π
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D
22500
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Solution
The correct option is D22500 We know, w0=150πrad/s t=10 minutes = 10×60s t=600s we know, w=w0+αt 0=150π+α×600 α=−π4rad/s2 Using, w2−w20=2αθ 02−(150π)2=2×(−π4)θ θ=45000π radian Angle covered is one revolution =2π Number of revolutions = total angle coveredangle covered in one revolution =45000π2π =22500