Question

The radius of a roll of paper towel is 7.6 cm and its moment of inertia is I= 2.9 x 10^-3. A force of 3.2 N is exerted on the end of the roll for 1.3 seconds, but the paper does not tear so it begins to unroll. A constant friction torque of 0.11 mN is exerted on the roll which gradually brings it to a stop. Assume that the paper's thickness is negligible.

-Determine the angular acceleration of the roll of paper towels while the force is being applied

-Determine the number of revolutions that the roll of paper towels makes while the force is being applied

-Determine the length of paper that unrolls during the time the force is applied

Answer 1