For fully developed laminar pipe flow in a circular pipe, the velocity profile is given by in m/s, where is the inner radius of the pipe. Assuming that the pipe diameter is 4 cm, find the maximum and average velocities in the pipe as well as the volume flow rate.

Aplate clutch has a single pair of mating friction surfaces 250-mm od by 175-mm id. the mean value of the coefficient of friction is 0.30, and the actuating force is 4 kn. a) find the maximum pressure and the torque capacity using the uniform-wear model. b) find the maximum pressure and the torque capacity using the uniform-pressure model.

What is the heat treatment of metals? what is the benefit of it? why and how it's useful? answer in details, do not write by hand.

What is the main objective of using reheat rankine cycle?