Maximum Power Transmitted:

The power transmitted based on the tension 'T₁', angle of lap θ, coefficient of friction

'μ' & belt speed 'V'. For a specified belt drive, the maximum tension (T_t), angle of lap and coefficient of friction will remain constant provided that

 (a) The tension on tight side, that means maximum tension must be equivalent to the maximum permissible value for the belt, and

 (b) the belt must be on the point of slipping.

Thus,    Power P = T₁ (1 - e^{- μθ} )  V

As,

T₁ = T_t  + T_c

 or,

P = (T_t  - T_c ) (1 - e ^{-μ θ} ) V

or,

∴ P = (T_t  - m V ₂ ) (1 - e^{-μ θ} ) V

dP/dV = (T_t  - 3m V ² ) (1 - e^{- μ θ} )

For maxima & minima

dP/dv = 0

∴(T_t  - 3m V ² ) (1 - e^{-μ θ} ) = 0

or,   T_t  - 3m V ²  = 0

or,   T_c   =  T_t /3

As well as,

           . . . (8.15)

 At the belt speed specified by the Eq. (8.15) the power transmitted through the belt drive will be maximum.