Question

A disc clutch with a single friction surface has coefficient of friction equal to 0.3. The maximum pressure which can be imposed on the friction material is 1.5 MPa. the outer diameter of the clutch plate is 200 mm and its internal diameter is 100 mm. Assuming uniform wear theory for the clutch plate, the maximum torque (in Nm) that can be transmitted is

• A. 530.14

Answer 1

The correct option is A 530.14
$r_1=0.1m;r_2=0.05m$

$Pmax\times r_2=C$

$\Rightarrow C=1.5\times {10}^6\times 0.05$

$=75000$

$W=2\pi C(r_1-r_2)$

$=2\pi \times 75000\times (0.1-0.05)$

$=23561.94N$

$T=n\mu WR=1\times 0.3\times 23561.94\times 0.075$

$=530.14Nm$

$(R=\frac{r_1+r_2}{2}=\frac{0.1+0.05}{2}=0.075m)$