In the pulley system below, how fast does pulley D rotate, if pulley A rotates at 100 rpm?
12.5 rpm.
25 rpm.
50 rpm.
100 rpm.
Detailed Explanation
A larger pulley causes a smaller pulley to rotate faster by the ratio of their diameters. If pulley A rotates at 100 rpm, then pulley B rotates at \(\frac{\mathrm{100 \times 4} }{\mathrm{10} } = 40\) rpm.
Since C is directly connected to B it rotates at the same rate (40 rpm).
Finally, pulley D will rotate at \(40 \times \frac{\mathrm{5} }{\mathrm{16} } = 12.5\) rpm.
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