A DC motor delivers mechanical power to a rotating stainless-steel shaft (k=15.1W/mK) with a length of 25cm and a diameter of 25mm. In a surrounding with ambient air temperature of 20C and convection heat transfer coefficient of 25W/m2K, the surface area of the motor housing that is exposed to the ambient air is 0.075m2. The motor uses 300W of electrical power and delivers 55% of it as mechanical power to rotate the stainless-steel shaft. If the tip of the stainless-steel shaft has a temperature of 22C, determine the surface temperature of the motor housing. Assume the base temperature of the shaft is equal to the surface temperature of the motor housing