Why is it easier to turn a nut using a longer spanner than a shorter?
 - Leaving Cert Physics - Question b - 2006
Question b
Why is it easier to turn a nut using a longer spanner than a shorter?
Worked Solution & Example Answer:Why is it easier to turn a nut using a longer spanner than a shorter?
 - Leaving Cert Physics - Question b - 2006
Step 1
Greater Torque
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Answer
Using a longer spanner increases the torque, which is the rotational force applied to the nut. Torque can be calculated using the formula:
au=rimesF
where:
( \tau ) is the torque,
( r ) is the distance from the fulcrum to the point of effort,
( F ) is the force applied. A longer arm (spanner) means that ( r ) is larger, resulting in greater torque for the same force.
Step 2
Greater Distance from Fulcrum
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Answer
The distance from the point of effort (where you apply the force) to the fulcrum (the pivot point) is greater with a longer spanner. This increased distance makes it easier to apply force effectively, leading to more efficient turning of the nut.
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