Question

A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.876 rad/s².

(a)

What is the moment of inertia of the wheel (in kg · m²)?

_____ kg · m²

(b)

What is the mass (in kg) of the wheel?

_________ kg

(c)

The wheel starts from rest and the tangential force remains constant over a time period of 6.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?

________ rad/s

Answer 1

Concept - use Newton’s law of motion for rotational motion and equation of kinematics to find solutions as shown below

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