The efficient of a machine is 75%if the work output is 45J, what is the work input
3/4 work=45
work=4/3 * 45
In order to find the work input, we can use the efficiency formula:
Efficiency = (Work output / Work input) * 100
Given that the efficiency of the machine is 75% and the work output is 45J, we need to solve for the work input. Let's substitute the values into the formula:
75% = (45J / Work input) * 100
To isolate the work input, we can rearrange the formula:
Work input = (45J / 75%) * 100
First, we convert the efficiency percentage to a decimal by dividing it by 100:
75% / 100 = 0.75
Next, we substitute this value back into the formula to calculate the work input:
Work input = (45J / 0.75) * 100
Work input = 60J
Therefore, the work input is 60J.
To calculate the work input, we need to use the efficiency formula, which is:
Efficiency = (Work Output / Work Input) * 100%
In this case, we know that the efficiency is 75% (or 0.75 in decimal form) and the work output is 45J. We can substitute these values into the formula and solve for the work input.
0.75 = (45 / Work Input) * 100%
Now, let's cross multiply and solve for the work input:
0.75 * Work Input = 45 * 100%
Divide both sides by 0.75 to isolate the Work Input:
Work Input = (45 * 100%) / 0.75
Cancelling out the percentage by dividing by 100%:
Work Input = 45 / 0.75
Calculating the division, the Work Input is:
Work Input = 60 J
Therefore, the work input is 60J.