In an experiment, a mass m = 40 gm, attached to a string wrapped around the axle

Question

In an experiment, a mass m = 40 gm, attached to a string wrapped around the axle of a flywheel and starting from rest, falls through a distance of 147 cm in 3.5 seconds. The diameter of the axle of the flywheel is 12 cm. What is the acceleration of the mass and the angular acceleration of the flywheel? Find the tension in the string. Find the torque due to the tension acting on the flywheel. Find the torque due to the tension acting on the flywheel. Assuming that the torque due to friction is negligible, find the moment of inertia of the flywheel.

Explanation / Answer

acceleration of mass , s = at^2/2 so a = 2s/t^2 = 0.24 m/s^2 angular acceleration of wheel = a/r = 4 radian/s^2 T = mg - ma = 0.38 N torque = 0.0229 kg-radian/s^2 moment of inertia = 0.00573 kg-m^2

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