Moments (Oxford AQA IGCSE Physics)
Revision Note
Moments
What is a moment?
Forces exerted on objects can have a turning effect
The turning effect of a force is called the moment
Rotation occurs about a fixed pivot
Rotation can be clockwise or anticlockwise
Clockwise and anticlockwise rotation
Examples of the rotation caused by a force are:
A child on a see-saw
Turning the handle of a spanner
A door opening and closing
Using a crane to move building supplies
Using a screwdriver to open a tin of paint
Turning a tap on and off
Picking up a wheelbarrow
Using scissors
Calculating moments
The size of a moment is defined by the equation:
M = F × d
Where:
M = moment in newton metres (N m)
F = force in newtons (N)
d = distance perpendicular to the direction of the force in metres (m)
The forces should be perpendicular to the distance from the pivot
For example, on a horizontal beam, the forces which will cause a moment are those directed upwards or downwards
The moments on a spanner
The larger the distance, the less force is required and vice versa
If you try to push open a door right next to the hinge it is very difficult, as it requires a lot of force
If you push the door open at the side furthest from the hinge then it is much easier, as less force is required
Forces required to open a door
Worked Example
A carpenter attempts to loosen a bolt that has rusted. To turn the bolt, they exert a force of 22 N using a spanner of length 20 cm. The force is exerted 5 cm from the end of the spanner.
Calculate the moment.
Answer:
Step 1: List the known quantities
Force,
Length of spanner
Step 2: Determine the distance from the pivot
The force is exerted 5 cm from the end of the spanner
Therefore, the distance from the force to the pivot is
Convert cm to m
Step 3: Write out the equation for moments
Step 4: Substitute in the known values to calculate
Examiner Tip
It is always best practice to convert any values into SI units before you input them into your calculation. You are less likely to forget and less likely to make a mistake. Therefore, you are less likely to lose marks.
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