A pair of $20$ full depth involute bevel gears is used to connect two shafts at right angles having a velocity ratio $2\mathrm{.}5$: $1.$ The gear is made from cast steel and the pinion is from the forged steel. Pinion transmits $37\mathrm{.}5$ kW at $750$ rpm Design the gear drive and check the design for dynamic and wear loads.