A drop hammer of 1 ton dead weight capacity is propelled downward by a 12 in diameter cylinder. At 100 psi air pressure what is the impact velocity if the stroke is 28 inches?

1.  A 4ft high, 3 ft diameter cylindrical water tank whose top is open to the atmosphere is initially filled with water. Now the discharge plug near the bottom of the tank is pulled out, and a water jet whose diameter is 0.5 in streams out. The average velocity of the jet is approximated as v= , where h is the height of wave in the tank measured from the center of the hole (a variable) and g is the gravitational acceleration. Estimate the time taken for the water level in the tank to drop to 2 ft from the bottom. And if the jet diameter increased to 0.6 in, then compare the time taken to drop same water level in tank. 

A turboprop engine consists of a diffuser,
compressor, combustor, turbine, and nozzle. The
turbine drives a propeller as well as the
compressor. Air enters the diffuser with a
volumetric flow rate of 83.7 m3
/s at 40 kPa, 240 K,
and a velocity of 180 m/s, and decelerates
essentially to zero velocity. The compressor
pressure ratio is 10 and the compressor has an
isentropic efficiency of 85%. The turbine inlet
temperature is 1140 K, and its isentropic efficiency
is 85%. The turbine exit pressure is 50 kPa. Flow
through the diffuser and nozzle is isentropic. Using
an air-standard analysis, determine: (a) the power
delivered to the propeller, in MW. (b) the velocity at
the nozzle exit, in m/s. Neglect kinetic energy
except at the diffuser inlet and the nozzle exit

Assuming a linear velocity profile, find the boundary layer thickness the wall shear stress, the displacement thickness and the drag for a flat plate with zero pressure gradient and free stream velocity U0. The plate has length L and width b. Do you have flow separation? If the answer is yes or no, explain why.