Design a suitable clutch for a speed gear$-$box of a milling machine to

transmit $15$ kW at $1440$ rpm $.$ Due to space limitation the outer

diameter is limited to $120$ mm $,$

Hints: Use a multi disk clutch with $=0\mathrm{.}2$ and $p_{\text{m}\text{a}\text{x}}=0\mathrm{.}35\frac{N}{m}{m}^2$

with a maximum operating temperature as $260C.$