Question

A friction clutch is used to rotate a machine from a shaft rotating at a uniform speed of 250 r.p.m. The disc-type clutch has both of its sides effective with a friction coefficient of 0.3. The outer and the inner diameters of the friction plate are 200 mm and 120 mm respectively. The intensity of pressure is not to be more than 100 kN/m², calculate i. the power transmitted by this clutch based on the theory of uniform wear, ii. the intensity of pressure if the condition of uniform pressure is considered, and iii. the ratio of power transmitted with uniform wear to that with uniform pressure.

Answer 1

Solution The Data given in the question are as follows P= 100 x 103 N/m² M=0.3, N=250 rpm. Ro=o.lm, n=2 (both sides effective) R; = d.obm i) uniform Wear theory Axial thoust of friction clutch is given by W= 2 XP Ri (Ro-R;) Put the given value in above equation we get, W = 2ax 105 x 0.06 (0.1-0.06) W = 1507.96N Frictional torque for U.W.T Put To = MW (Rot Ridxn the given value in above equation we get, Tf = 0.341507.96 (0.1 +0.06) X2

Ts= 72.38 N-m transmitted by Clutch is Power given by P = Tex w P= TGX 25XN - to Put the given value in above equation we get, P= 72.38% 2x2 x 250 60 P = 1894.gow Hence, Power transmitted by clutch is 1894.9ow U Pressure intensity by Uniform Pressure theory :- the intensity of Pressure by uniform Pressure theory is given by. P= W & [ R² R2 Put the given value in above equation we get

P = 1507.96 7160.12(0.06)] P= 1507.96 = 75398 N/m2 0.020 P = 75.398 KN/m²/ Hence, the intensity of Pressure by uniform Pressure theory is 75.398 kN/m² Frictional torque by uniform Pressure theory Ty= 24W GROCOM Put the given value in above equation We gets 2x0.3x1507.96 [ (0.1) – (0.063 72 LO:12-0.06)2 0.1225X2 x 0.3 X 1507.96 x To= 73.89 N-m

Power transmitted through clutch by uniform Pressure theory is given by P= Tftw P= TEX 2 AN 60 Put the given value in above equation we get P= 73.89 * 2x Tx 250 6o P = 1934.43 W] cling Power transmitted with uniform Wear Power transmitted with uniform Pressure = 1894.90 => 0.979| 1934.43 Hence, the ratio of Power transmitted with uniform Wear to unifoom Pressure is 0.979

Answer 2

Nahi ata mere ko such main nahinata mujhe kaise batao nahi ata mukhe