Final answer:
The solid shaft has a diameter of 0.75 in and is made of steel. When used in a power transmission system, rotating at a speed of 1000 rpm and subjected to a torque of 50 Nm, its angular velocity can be calculated using the equation: angular velocity = torque / moment of inertia. The moment of inertia can be determined using the formula for a solid cylinder.
Step-by-step explanation:
The solid shaft, made of steel and used in a power transmission system, has a diameter of 0.75 in. When the shaft is rotating at a speed of 1000 rpm and subjected to a torque of 50 Nm, it undergoes angular motion. The angular velocity of the shaft can be calculated using the equation:
Angular velocity (ω) = Torque (T) / Moment of inertia (I)
The moment of inertia depends on the shape and mass distribution of the shaft. Given the diameter, you can assume the shaft is cylindrical and use the formula for the moment of inertia of a solid cylinder:
Moment of inertia (I) = (1/2) * Mass (M) * (Radius^2)