Part A - Transmitted power A solid circular rod is used to transmit power from a motor to a machine. The diameter of the rod is D = 2.5 in and the machine operates at ω = 170 rpm . If the allowable shear stress in the shaft is 10.4 ksi , what is the maximum power transmissible to the machine? Express your answer with appropriate units to three significant figures.

Explanation:

Given that solid circular rod rotates at constant speed and neglecting losses throughout the system, power is calculated as the product of torque and angular speed. That is to say:

There is a formula that relates torque with shear stress:

Where is the torsion module, whose formula for a solid circular cross section is:

The tension module is calculated herein:

Maximum allowed torsion is found by isolating it from shear stress equation:

Then, maximum transmissible power is determined directly:

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