The efficiency of a machine is 60. Calculate the work done by a man using this machine to raise the load of 250kg through a vertical distance of 2.5m
The work done by a machine can be calculated using the formula:
Work = Efficiency x Input Work
Where Efficiency is given as a percentage (60% = 0.60) and Input Work is the work done by a man.
To calculate the Input Work, we can use the formula:
Input Work = Output Work / Efficiency
Given that the load being raised is 250 kg and the vertical distance is 2.5 m, the Output Work can be calculated as:
Output Work = Force x Distance
Where Force is the weight of the load and Distance is the vertical distance.
Force = mass x gravity
Where mass is the load and gravity is the acceleration due to gravity (approximately 9.8 m/s²).
Using these values, we can calculate the Output Work and then the Input Work.
Force = 250 kg x 9.8 m/s² = 2450 N
Output Work = 2450 N x 2.5 m = 6125 J
Input Work = 6125 J / 0.60 = 10,208.33 J
Therefore, the work done by a man using this machine to raise a load of 250 kg through a vertical distance of 2.5 m is approximately 10,208.33 Joules.