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A wheel 4m in diameter rotates about a f...

A wheel 4m in diameter rotates about a fixed frictionless horizontal axis, about which its moment of inertia is `10 kgm^(2)` . A constant tension of 40N is maintained on a rope wrapped around the rim of the wheel. If the wheel starts from rest at t=0s , find the length of rope unwounded (in m) till t=3s.

Text Solution

Verified by Experts

The correct Answer is:
72
`40 xx 2 = 10 alpha`…….(i)
`theta = 1/2 alpha t^(2) = 36` radii, `l = r theta = 72 m`
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