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Power (CIE IGCSE Physics: Co-ordinated Sciences (Double Award))
Revision Note
Power
- Power is:
Work done per unit time
- Since work done is equal to energy transferred, power is also:
Energy transferred per unit time
- Machines, such as car engines, transfer energy from one energy store to another constantly over a period of time
- The rate of this energy transfer, or the rate of work done, is power
- Time is an important consideration when it comes to power
- Two cars transfer the same amount of energy, or do the same amount of work to accelerate over a distance
- If one car has more power, it will transfer that energy, or do that work, in a shorter amount of time
Two cars with different power ratings doing the same amount of work
Two cars accelerate to the same final speed, but the one with the most power will reach that speed sooner.
- Two electric motors:
- lift the same weight
- by the same height
- but one motor lifts it faster than the other
- The motor that lifts the weight faster has more power
Two motors with different powers
Power ratings
- Power ratings are given to appliances to show the amount of energy transferred per unit time
- Common power ratings are shown in the table below:
Power ratings table
Appliance | Power rating |
A torch | 1 W |
An electric light bulb | 100 W |
An electric oven | 10 000 W = 10 kW |
A train | 1 000 000 W = 1 MW |
Saturn V space rocket | 100 MW |
Large power station | 10 000 MW |
Global power demand | 100 000 000 MW |
A star like the Sun | 100 000 000 000 000 000 000 MW |
- 1 kW = 1000 W (1 kilowatt = 1000 watts)
- 1 MW = 1 000 000 W (1 megawatt = 1 million watts)
Calculating power
The power equations
- There are two equivalent forms of the power equation
- Power can be expressed in terms of work done
- Or power can be expressed in terms of energy transferred
- Where:
- = power measured in watts (W)
- = work done, measured in newton metres (N m)
- = time measured in seconds (s)
- = energy transferred, measured in joules (J)
- Note that these two equations may be written slightly differently, but they represent the same thing
- A transfer of energy (work done) over time
Power equation triangle
To use a formula triangle, simply cover up the quantity you wish calculate and the structure of the equation is revealed
- Using an equation triangle is covered in more depth in the revision note Speed & velocity
Worked example
Calculate the energy transferred when an iron with a power rating of 2000 W is used for 5 minutes.
Answer:
Step 1: List the known values
- Power,
- Time,
Step 2: Convert minutes into seconds
Step 3: Write down the power equation in terms of energy
Step 4: Rearrange to make energy transferred, ΔE, the subject
Step 5: Substitute in the known values
Examiner Tip
Think of power as “energy per second”. Thinking of it this way will help you to remember the relationship between power and energy.
In your IGCSE Co-ordinated Sciences exam, you will be expected to use both equations and to be able to rearrange them. You may be required to calculate the energy transferred in a previous question part, so always check back through the question if you seem to be missing a value!
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