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Moment

Revision as of 09:26, 14 October 2018 by NRJC (talk | contribs)

Key Stage 3

Meaning

A moment is the turning effect of a force.

About Moments

When a force acts on an object with a pivot it becomes a turning force called a moment.
A moment can be calculated by multiplying a force by the distance from a pivot.
The units of a moment are Newton Metres (Nm).
Moments can be used to make Force Multipliers using a pivot and lever.
The longer the lever, the larger the moment that can be produced.
PivotLever.png
Using moments an effort can be used to lift a load. If the pivot is closer to the load than the effort then the force of effort can be smaller than the load to lift the object.

Equation

Moment = Force x Perpendicular distance from the pivot.

\[M = F \times d\] Where:

M = Moment
F = Force
d = Perpendicular distance from the pivot.

Example Calculations

A 20N force of effort is applied at a perpendicular distance of 0.15m from the pivot. Calculate the Moment. A 20N force of effort is applied at a perpendicular distance of 14cm from the pivot. Calculate the Moment. A 20N force of effort is applied at a perpendicular distance of 100mm from the pivot. Calculate the Moment.
MomentSpanner1.png
MomentSpanner2.png
MomentSpanner3.png

Force = 20N

Perpendicular distance = 0.15m

\(M = F \times d\)

\(M = 20 \times 0.15\)

\(M = 3.0Nm\)

Force = 20N

Perpendicular distance = 14cm = 0.14m

\(M = F \times d\)

\(M = 20 \times 0.14\)

\(M = 2.8Nm\)

Force = 20N

Perpendicular distance = 100mm = 0.10m

\(M = F \times d\)

\(M = 20 \times 0.10\)

\(M = 2.0Nm\)

MomentHammer1.png
MomentHammer2.png
MomentHammer3.png
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