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 200 N applied to its edge causes the wheel to have an angular acceleration of 0.896 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 4.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? rad/s

Answer 1

@ torque on wheel Fr also TS Ia : Er = Id I- Er x I = 200N X 0.33m 0.896 radis I = 73.66 kg ma b Moment of mertia of wheel I- M82 솔 73.66 kg m2 = 4 MX (0.33m)2 81 kg M = 1352.81 V Wi=0 a=0.896 rad 15? t-45 W= Wita W = 0 + 0,896 nadjs?x 45 W = 3.584 rads