Astring is wound tightly around a fixed pulley having a radius of 5.0 cm. as the string is pulled, the pulley rotates without any slipping of the string. what is the angular speed of the pulley when the string is moving at 5.0 m/s?

Angular speed of the pulley = 100 rad/s

Explanation:

Linear speed = Angular speed x Radius

    v = ωr

Given that the string is moving at 5.0 m/s

That is v = 5 m/s

The string is wound tightly around a fixed pulley having a radius of 5.0 cm,

           r = 5 cm = 0.05 m

Linear speed = Angular speed x Radius

5 = ω x 0.05

ω = 100 rad/s

Angular speed of the pulley = 100 rad/s

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