Answer to Question #170592 in Mechanics | Relativity for Mae

Question

You are using a wheel and axle as a simple machine. You applied a force of 30 lb to the rim of the wheel so that it can lift a load of 240 lb. The diameters of the wheel and axle are 3 feet and 4 inches, respectively. Determine the efficiency of the machine.

Answer 1

Answer

According to concepts the efficiency of the machine is given by

$\eta=\frac{F_a D_a}{F_w D_w}\\=\frac{ 240\times4\times0.0833}{30\times3}\\=0.89$

Or 89%