A cone clutch having a cone angle of 10 is to transmit 40 horsepower continuously at a rotational speed of 600 rpm. The contact width of the lining along an element of the cone is 2.0 inches. The lining material is wound asbestos yarn and wire, operating against steel. Assuming that the uniform wear assumption holds, do the following:
a. Calculate the required torque capacity.
b. Calculate the change in radius of the contact cone (i.e., ) across the contact width of the lining.
c. Calculate an acceptable value for so that required torque capacity can be satisfied.
d. Calculate the corresponding value of .