The shaft is made of A992 steel and has an allowable shear stress of tallow
=75MPa
. When the shaft is rotating at 300 rpm , the motor supplies 8 kW of power, while gears A and
B
withdraw 5 kW and 3 kW , respectively. If the angle of twist of gear
A
relative to
C
is not allowed to exceed 0.03 rad, determine the required minimum diameter of the shaft to the nearest millimeter. (10 marks)