An electric motor turns a flywheel through a drive belt that joins a pulley on t

Question

An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in the figure below. The flywheel is a solid disk with a mass of 66.5 kg and a radius R = 0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of 0.230 m. The tension (t) in the upper (taut) segment of the belt is 171 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2. Find the tension in the lower (slack) segment of the belt.

Explanation / Answer

we have the equation (T1 -T2) x radius= 0.5 x mass of flywheel x square of radius of flywheel x angular acceleration putting values in the above equation and solve for T1 (T1-154) 0.23 = 0.5 x 52.5 x 0.625^2 x 1.67 we get T1 =79.54N..................Answer

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