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Question: Coefficient of friction between a tool and grinding wheel is μ.Power developed in watt by the wheel ...

Coefficient of friction between a tool and grinding wheel is μ.Power developed in watt by the wheel of radius r running at n revolutions per second when tool is pressed to the wheel with F' kgf is

A

μF'r(2πn)

B

μF' gr(2πn)

C

μF'r

D

μF'g

Answer

μF' gr(2πn)

Explanation

Solution

Using P = Fv, we get

P = Frω ( v = rω)

Here F = μN

(where N is normal reaction)

= μF'g ( 1 kgf = g newton)

∴ P = μF'grw = 2πμnF'gr

( ω = 2πr)