Calculating Machine Efficiency
The efficiency of a machine represents the ratio of useful work output (work done on the load) to the total work input (work done by the effort). It is typically expressed as a percentage.
Given Data:
- Effort Applied = 5 units
- Load = 10 units
- Distance travelled by effort (\(d_e\)) = 50 units
- Distance travelled by load (\(d_l\)) = 20 units
Calculations:
1. Work Done by Effort (\(W_e\)):
The work done by the effort is calculated as the product of the effort applied and the distance it travels.
\( W_e = \text{Effort} \times d_e \)
\( W_e = 5 \text{ units} \times 50 \text{ units} = 250 \text{ units}^2 \)
2. Work Done on Load (\(W_l\)):
The work done on the load is calculated as the product of the load and the distance it moves.
\( W_l = \text{Load} \times d_l \)
\( W_l = 10 \text{ units} \times 20 \text{ units} = 200 \text{ units}^2 \)
3. Efficiency (\(\eta\)):
Efficiency is the ratio of work done on the load to the work done by the effort, multiplied by 100%.
\( \eta = \left( \frac{W_l}{W_e} \right) \times 100\% \)
\( \eta = \left( \frac{200 \text{ units}^2}{250 \text{ units}^2} \right) \times 100\% \)
\( \eta = \left( \frac{4}{5} \right) \times 100\% \)
\( \eta = 0.8 \times 100\% = 80\% \)
Conclusion:
The efficiency of the machine is 80%.
Similar Questions
- The force applied to overcome a load is called _____.
Important Questions from Mechanical Advantage
Which of the following mechanical devices efficiently distributes or multiplies loads with little effort?
- The force applied to overcome a load is called _____.
