JAMB - Physics (2014 - No. 13)
A wheel and an axle is used to raise a load whose weight is 800N when an effort of 250N is applied. If the radii of the wheel and axle are 800mm and 200mm respectively, the efficiency of the machine is
90%
80%
85%
87%
Explication
VR = 800/200 = 4
\(Efficiency = \frac{MA}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{L}{E} \times \frac{1}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{800}{250} \times \frac{1}{4} \times \frac{100}{1}\)
= 78.74%
= 80%
\(Efficiency = \frac{MA}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{L}{E} \times \frac{1}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{800}{250} \times \frac{1}{4} \times \frac{100}{1}\)
= 78.74%
= 80%