# Episode 218: Mechanical power

Practical Activity for 16-19

- Activity time 60 minutes
- Level Advanced

Power is the rate at which work is done, i.e. the rate at which energy is transferred by a force. It is likely that your students will be familiar with this definition. They may also have studied power in an electrical context.

Lesson Summary

- Discussion: The meaning of power (10 minutes)
- Worked example: A sample calculation; power = force × velocity (10 minutes)
- Student experiment: Simple measurements of human power (20 minutes)
- Student questions: Practice calculations (20 minutes)

Many of the practical activities suggested earlier in this topic could readily be adapted to relate to power; simply measure the time during which a force acts, and calculate: power = work donetime taken.

## Discussion: The meaning of power

Give the definition of power – this will probably be revision for your students. Ask for the unit (watt, W) and its relationship to SI base units

(1 W = 1 kg m^{2} s^{-3}).

## Worked examples: A sample calculation; power = force × velocity.

A car engine provides a forward force of 1000 N. If the car is travelling at , what power is developed?

In 1 s, the car travels 20 m. Hence we can calculate:

work done in 1 s = force × distance

work done = 1000 N × 20 m

work done = 20 kJ

power = work donetime taken

power = 20 kJ1 s

power = 20 kW

From this example, you can point out that we could equally have used an alternative form of the equation for power:

power = force × velocity

e.g. power = work donetime taken

power = force × distance (in direction of the force)time taken,

so power = force × velocity.

(However, this only works if the velocity is steady, i.e. the force

is *not* the resultant force on the moving object.)

## Student experiment: Simple measurements of human power

Students can perform various physical activities, for example lifting measured weights, and deduce their useful output power, using a stop watch. (Note that the human body is not very efficient in these activities, so the actual power dissipated by the student will be considerably greater than deduced here.)

This is included as it is possible that some of your students are less than confident in this area. It is expected that the majority of students will have already covered this ground.

Episode 218-1: Power of a pupil – running upstairs (Word, 39 KB)

## Student questions: Practice calculations

The first questions are warm–up exercises which should give students confidence. Note that the first question makes the connection between power, force and velocity (power = force × velocity).

Episode 218-2: Mechanical power (Word, 26 KB)

Episode 218-3: Work out with a cycle (Word, 114 KB)