Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_96

2/96 The direction of motion of a flat tape in a numerical-control device is changed by the two pulleys A and B shown. If the speed of the tape increases uniformly from \(2 \text{ m/s}\) to \(18 \text{ m/s}\) while \(8 \text{ meters}\) of tape pass over the pulleys, calculate the magnitude of the acceleration of point \(P\) on the tape in contact with pulley \(B\) at the instant when the tape speed is \(3 \text{ m/s}\). Given: Radius of Pulley A = \(100 \text{ mm}\), Radius of Pulley B = \(150 \text{ mm}\).