1.A natural gas engine is to be used to drive an irrigation pump that must be operated within 2 percent of its nominal operating speed of 1000 rpm. The engine torque versus angular displacement curve is the sawtooth curve shown in Figure P18.3. The pump torque verse angular displacement curve is the stepped curve shown. It is desired to use a solid-steel flywheel of 10-inch radius to obtain the desired speed control.

a. Sketch the angular velocity (qualitative) of the flywheel system as a function of angular displacement (quantitative), and identify points of maximum and minimum angular velocity on the torque versus angular displacement curve.

b. Calculate .

c. Calculate the mass moment of inertia of the flywheel that would be required to properly control the speed.

d. Of what thickness should the flywheel be made?