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 thatthe 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.

A capstan is a rotating drum (cylinder) over which a rope or cord slid

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 thatthe 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» SOLUTION :`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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