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How you evaluate the power transmitted by a shaft (P)?

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Consider a force ‘F’ Newton’s acting tangentially on the shaft of radius ‘R’. If the shaft due to this turning moment (F X R) starts rotating at N rpm then.

Work supplied to the shaft/sec = F. Distance moved/sec. 

= F.2π.R.N/60 Nm/sec 

or, Power (P) = F.R.2π.N/60 Nm/sec or watt. 

But F.R = Max.Torque (T) in N-m 

i.e. P = 2π.N.Tmax/60 watts

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