1.

A capstan is a rotating drum (cylinder) over which a rope or cord slides in order to increase the tension due to friction. If the difference in tension between the two ends of the rope is 500 N and the capstan has a diameter of 10 cm and rotates with angular velocity `10 rad//s`. Capstan is made of iron and has mass 5 kg, specific heat `1000 J//kg` K. At what rate does temperature rise? Assume that the temperature in the capstan is uniform and all the thermal energy generated flows into it. Express your answer as `xxx10^(-4)^(@)C` Fill up value of x.

Answer» Correct Answer - `0500`
`P=tauomega=(500xx5xx10^(-2))xx10`
`P=ms(dT)/(dt)`
`(dT)/(dt)=500xx5xx10^(-2)xx10=5xx10^(-2)`
`x xx10^(-4)=5xx10^(-2)=500`


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