The velocity v at which flow in a pipe will switch from laminar to turbulent depends on the diameter d of the pipe as well as the density rho and the dynamic viscosity µ of the fluid.
(a) find a dimensionally reduced form of v.
(b) suppose the pipe has a diameter d=100 and for water (where rho=1 and μ=10-2) it is found that v=0.25 . what is v for olive oil (where rho=1 and μ=1)? the units here are in cgs.

The y form of iron is known as: a) ferrite b) cementite c) perlite d) austenite

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

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.