A gear pump has the following dimensions:

Addendum radius = 50 mm
Dedendum radius = 35 mm
Width = 25 mm
a) What is its displacement Dp? Use Dp=0.5x(width)x((add. radius)2 -(deden. radius)2 )
b) Tests show that the pump’s volumetric efficiency and mechanical efficiency are 80% and 90% respectively when turning at 1000 rpm and deliver oil at 100 bar. Determine the delivered flow rate and the leakage flow rate under these conditions.
c) Assuming that leakage is proportional to pressure and that mechanical losses are proportional to the angular velocity of the pump, determine the volumetric efficiency, mechanical efficiency and power required to drive the pump at 1500 rpm while developing 140 bar.