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

a) , b)

Explanation:

a) The turntable has the following physical model by using Newton's laws:

The moment of inertia is:

b) The moment of inertia for a solid cylinder:

The mass of the turntable is:

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