Saturday, 2 February 2019

Power Transmission by Belt Drives Study Mtaeria

Power Transmission by Belt Drives                                                                                                                                       Power Transmission by Belt Drives



Power Transmission by Belt Drives Study Mtaerial

A common and simple method of transmitting power from one shaft to another is by means of a belt passing over pulley wheels which are keyed to the shafts,


Typical applications include an electric motor driving a lathe or a drill, and an engine driving a pump or generator.

For a belt to transmit power between two pulleys there must be a difference in tensions in the belt on either side of the driving and driven pulleys. For the direction of rotation shown in Figure 1 F₂ > F₁


FIG 1
The torque T available at the driving wheel to do work is given by:
T = (F₂- F₁)  rx     Nm

where
F₂  is tension force in belt on driving pulley
F₁   is tension force in belt on driven pulley
rx       is radius  of driving pulley 

and the available power P is given by:
P = T𝟂= .(F₂ − F₁) /rx 𝜔𝚡  watts

where 
𝜔𝚡  is angular velocity of driving pulley
re                                                              T = P / (2 𝜋  n )
the linear velocity of a point on the driver wheel 
vx = rx ωx

Similarly, the linear velocity of a point on the driven wheel
 vy = rωy
Assuming no slipping,                                vx = vy i.e. rx ωx = ry ωy
                                   rx (2 𝜋 nx )   =  ry  ( 2 𝜋 ny )

where 
nx  is rotating  speed  of driving pulley
ny  is rotating speed of driven pulley 
ry  is radius  of driving pulley 

Percentage efficiency= (useful work output/power input) × 100


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