A firm wants to determine the amount of frictional torque in theircurrent line o

Question

A firm wants to determine the amount of frictional torque in theircurrent line of grindstones, so they can redesign them to be more energy efficient. To do this, they ask you to test the best-sellingmodel, which is basically a disk shaped grindstone of mass1.9 kg and radius 8.60 cm which operates at 730rev/min. When the power is shut off, you time the grindstone andfind it takes 28.8 s for it to stoprotating. (a) What is the angular acceleration of the grindstone? (Assume constant angular acceleration.) 1 rad/s^2 (b) What is the frictional torque exerted on the grindstone? 2 Nm

Explanation / Answer

a) the angular acceleration : = /t =730*(2/60)/28.8 = 2.654rad/s2 b)the frictional torque : T =I. = (M.R^2/2 ). = (1.9*0.086^2/2)*2.654 =0.0186 Nm

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