A load 80N is raised through a distance of 2cm by a force of 30N which moves through a distance of 8cm when it is applied at one end of a machine. Calculate the efficiency of the machine
To calculate the efficiency of the machine, we need to first determine the work done by the input force and the work done on the load.
The work done is given by the formula:
Work = Force * Distance
For the input force:
Input Work = Input Force * Input Distance
Input Work = 30N * 8cm
Input Work = 240 N.cm
For the load:
Load Work = Load Force * Load Distance
Load Work = 80N * 2cm
Load Work = 160 N.cm
Efficiency is defined as the ratio of useful output work to the total input work.
Efficiency = (Useful Work Output / Total Work Input) * 100%
Efficiency = (Load Work / Input Work) * 100%
Efficiency = (160 N.cm / 240 N.cm) * 100%
Efficiency = 0.67 * 100%
Efficiency = 67%
Therefore, the efficiency of the machine is 67%.