A rocket is to be launched from a launching pad and it is determined that the lifting force P is a function of its length l, mass m, diameter d, velocity
v, angle of attack θ, density of air ρ, viscosity of air μ, and speed of sound
of air a. Find the dimensionless π groups and rewrite the function in
terms of π groups.

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

Afull journal bearing has a journal diameter of 27 mm, with a unilateral tolerance of -0.028 mm. the bushing bore has a diameter of 27.028 mm and a unilateral tolerance of 0.04 mm. the l/d ratio is 0.5. the load is 1.3 kn and the journal runs at 1200 rev/min. if the average viscosity is 50 mpa-s, find the minimum film thickness, the power loss, and the side flow for the minimum clearance assembly.

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.