Compute the effective annual interest rate which is equivalent to 5% nominal annual interest compounded continuously

Compute the nominal shear stress at the surface in MPa for a 40 mm diameter shaft that transmits 750 kW at 1500 rpm. Axial and bending loads assumed negligible. Torsional shearing stress is 28 N/mm2.

A shell-and-tube type of heat exchanger is designed to cool 1.512 kg/s of oil (Cp 2093 J/kg K) from 65.56° C to 42.22° C by using 1.008 kg/s of water at a inlet temperature of 26.67 °C. Assuming an overall heat transfer coefficient of 681.6 W/m²K and a single-shell, 2 tube pass type of heat exchanger determine the required heat transfer area. use the effectiveness method.

A shell-and-tube type of heat exchanger is designed to cool 1.512 kg/s of oil (Cp 2093 J/kg K) from 65.56° C to 42.22° C by using 1.008 kg/s of water at a inlet temperature of 26.67 °C. Assuming an overall heat transfer coefficient of 681.6 W/m²K and a single-shell, 2 tube pass type of heat exchanger determine the required heat transfer area. use the effectiveness method.