BeginnerTopic 30 of 106Engineering Mechanics

Power

The rate of doing work, P=Fv or P=Tω.

In depth

Power P=dW/dt=F·v; for rotation P=Tω. Units are watts (1 W = 1 J/s). Efficiency η=P_out/P_in. Engine power is torque times angular speed.

Key points

  • 1 hp ≈ 746 W
  • Instantaneous vs average power
  • Power limits acceleration and climbing
Example

A motor producing 50 N·m at 3000 rpm delivers about 15.7 kW.

Why it matters

Power ties energy to time, and it is what matters when choosing motors, engines and pumps for a required performance.

Where this is used

  • Sizing a motor for a lift that must rise at a set speed.
  • Calculating the power of an engine from torque and speed.
  • Estimating the power needed to drive a fan at a given airflow.

Frequently asked questions

What is Power?

The rate of doing work, P=Fv or P=Tω.

Why is it important to understand power?

Power ties energy to time, and it is what matters when choosing motors, engines and pumps for a required performance.

How do I convert torque and speed to power?

Multiply torque in newton-metres by angular speed in radians per second to get watts.

Why is more power not always better?

Higher power usually means more size, weight and cost, so the best choice matches the duty cycle and the efficiency at the operating point.

How is Power used in practice?

Typical applications include sizing a motor for a lift that must rise at a set speed, calculating the power of an engine from torque and speed and estimating the power needed to drive a fan at a given airflow.

What should I learn before Power?

Study "Conservation of energy" first (topic 29 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.

What are the key points of Power?

1 hp ≈ 746 W. Instantaneous vs average power. Power limits acceleration and climbing.

Can you give an example of Power?

A motor producing 50 N·m at 3000 rpm delivers about 15.7 kW.

What comes after Power?

The next topic is "Impulse and momentum", which builds directly on this one.

How difficult is Power?

It is classed as Beginner in Engineering Mechanics (topic 30 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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