The rotation of rod OA about O is defined by the relation θ= 0.5e^ -0.8t*sin3πt, where θ and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from O is r= 1 + 2t- 6t^2 + 8t^3, where r and t are expressed in feet and seconds, respectively. When t= 0.5 s, determine (a) the velocity of the collar

(b) the acceleration of the collar

(c) the acceleration of the collar relative to the rod.

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

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

Fluids at rest possess no flow energy. a)- true b)- false