A leather belt of density \(1000 \mathrm{~kg} / \mathrm{m}^{3}\), the thickness of \(10 \mathrm{~mm}\) is used to transmit a power of 10 \(\mathrm{kW}\) from a pulley of diameter \(1.2 \mathrm{~m}\) and running at \(250 \mathrm{rpm}\). Determine the width of the belt taking centrifugal tension into account. If the angle of the lap is \(160^{\circ}\) and coefficient of friction between belt and pulley is 0.25 . Assuming allowable stress for the leather belt is \(1.5 \mathrm{MPa}\).