The direction of motion of a flat tape in a numericalcontrol device is changed by the two pulleys \(A\) and \(B\) shown. If the speed of the tape increases uniformly from \(2 \mathrm{~m} / \mathrm{s}\) to \(18 \mathrm{~m} / \mathrm{s}\) while 8 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 \(3 \mathrm{~m} / \mathrm{s}\).

Transcribed Image Text:

A 100 mm P 150 mm B