A man is using a pulley to raise a weight. He is applying 45 joules of energy to pull on that rope and 44.325 joules of energy are being used to lift the weight. What is the efficiency of the pulley?
To find the efficiency of the pulley, we need to compare the input energy (45 joules) to the output energy (44.325 joules).
Efficiency (η) is given by the formula:
η = (Output Energy / Input Energy) * 100
Substituting the given values:
η = (44.325 / 45) * 100
Calculating this expression:
η = 98.5%
Therefore, the efficiency of the pulley is approximately 98.5%.
To determine the efficiency of the pulley system, we need to compare the input energy (the energy applied by the man) to the output energy (the energy used to lift the weight).
The formula for efficiency is:
Efficiency = (Output energy / Input energy) * 100%
In this case, the input energy is 45 joules, and the output energy (used to lift the weight) is 44.325 joules.
Plugging the values into the formula:
Efficiency = (44.325 joules / 45 joules) * 100%
Calculating the expression:
Efficiency = 98.28%
Therefore, the efficiency of the pulley system in this scenario is approximately 98.28%.