(Solved): A pulley made up of a solid disk is wound with a light rope. Suppose the rope is pulled by a net fo ...

A pulley made up of a solid disk is wound with a light rope. Suppose the rope is pulled by a net force of \( 47.0 \mathrm{~N} \) such that the angular speed starts to increase at a steady (uniform) rate. The radius of the pulley is \( 0.500 \mathrm{~m} \). If the moment of inertia of the pulley is \( 2.50 \) \( \mathrm{kg} \cdot \mathrm{m}^{2} \), and the system started from rest, calculate the angular speed of the pulley after \( 2.90 \) revolutions. Use vignificant digits please. Question 13 A disk is free to rotate about an axis. A force applied perpendicular at a distance \( d \) from the axis causes an angular acceleration \( \alpha \). What angular acceleration is produced if the same force is applied perpendicular a distance \( 2 \mathrm{~d} \) from the axis? \( a \) \( 2 \alpha \) \( \frac{a}{2} \) \( 4 \alpha \)