Output Work Calculator, Formula, Calculation

Output Work Calculator:

Enter the values of initial work, W_i(J) and efficiency, E to determine the value of output work, W_o(J).

Output Work Formula:

Output Work is a term used in physics and engineering to describe the work that is effectively utilized from the input work (Wi) after considering energy losses or efficiency (E).

It is a fundamental concept for understanding how machines and systems convert energy from one form to another, often factoring in inevitable inefficiencies such as friction, heat loss, or electrical resistance.

The formula for calculating output work incorporates the efficiency of the system, which is typically expressed as a percentage.

Output work, W_o(J) in joules is calculated by dividing the product of initial work, W_i(J) in joules and efficiency, E in percentage by 100.

Output work, W_o(J) = W_i(J) * E / 100

W_o(J) = output work in joules, J.

W_i(J) = input work in joules, J.

E = efficiency in percentage.

Output Work Calculation:

1. A generator has an input mechanical work of 500 Joules and operates at an efficiency of 80%. Calculate the output electrical energy generated by the machine.

Given: W_i(J) = 500J, E = 80%.

Output work, W_o(J) = W_i(J) * E / 100

W_o(J) = 500 * 80 / 100

W_o(J) = 400J.

2. A hydraulic lift uses 700 Joules of output work to raise a car and has an efficiency of 70%. Calculate the effective input work used to lift the car.

Given: W_o(J) = 700J, E = 70%.

Output work, W_o(J) = W_i(J) * E / 100

W_i(J) = W_o(J) * 100 / E

W_i(J) = 700 * 100 / 70

W_i(J) = 1000J.

Applications and Considerations:

Mechanical Engineering: In mechanical systems like engines and turbines, calculating output work is critical for determining how effectively these systems convert input energy into mechanical work. This helps in optimizing designs to improve efficiency and performance.

Electrical Engineering: For electrical devices like transformers and generators, understanding the output work is essential to measure how much of the electrical energy input is converted into usable output without excessive loss as heat. This calculation aids in improving the efficiency of power transmission and distribution systems

Work input and work output: