A simple machine moves a load of 30N through a distance of 3m. If it uses an effort of 25N which moves through a distance of 4m, calculate the work input, the work output and the efficiency of the machine
To calculate the work input, work output, and efficiency of the machine, we need to understand the formulas used for each calculation.
1. Work: Work is calculated by multiplying the force applied to an object by the distance over which the force is applied. The formula for work is:
Work = Force x Distance
2. Efficiency: Efficiency is a measure of how well a machine converts the work input into useful work output. It is calculated by dividing the work output by the work input and multiplying by 100 to express it as a percentage. The formula for efficiency is:
Efficiency = (Work Output / Work Input) x 100
Now, let's calculate each value step by step.
1. Work Input:
The effort force is 25N, and it moves through a distance of 4m.
Therefore, the work input is calculated as:
Work Input = Effort Force x Effort Distance
= 25N x 4m
= 100 Joules
Therefore, the work input of the machine is 100 Joules.
2. Work Output:
The load force is 30N, and it moves through a distance of 3m.
Therefore, the work output is calculated as:
Work Output = Load Force x Load Distance
= 30N x 3m
= 90 Joules
Therefore, the work output of the machine is 90 Joules.
3. Efficiency:
To calculate the efficiency, we can use the formula mentioned earlier:
Efficiency = (Work Output / Work Input) x 100
= (90 Joules / 100 Joules) x 100
= 90%
Therefore, the efficiency of the machine is 90%.
In summary:
- Work input: 100 Joules
- Work output: 90 Joules
- Efficiency: 90%