Formula for maximum power transmitted by belt, Mechanical Engineering

Formula for maximum power transmitted by belt:

Derive formula for maximum power transmitted by belt when centrifugal tension is considered.

Sol: Let T1  = Tension on tight side T2  = Tension on slack side v = Linear velocity of belt

Then the power transmitted can be given by the equation

1647_Formula for maximum power transmitted by belt.png

Power transmitted will be maximum if d(P)/dv = 0

Thus differentiating equation with respect to V and equating to zero for maximum power, we get

1154_Formula for maximum power transmitted by belt1.png

Equation (iv) gives velocity of belt at which maximum power is transmitted.

From equation (iv) Tmax  = 3T                                                                                                                     ...(v)

Hence when power transmitted is maximum, the centrifugal tension would be around 1/3rd of the maximum tension.

We know that Tmax = T1  + Tc

1645_Formula for maximum power transmitted by belt2.png

Hence condition for transmission of maximum power is:

Tc = 1/3 Tmax, and     

T1  = 2/3Tmax                                                                                                                    ...(viii)

NOTE: The net driving tension in the belt = (T1  - T2)

Posted Date: 10/19/2012 6:54:37 AM | Location : United States

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