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Why do we prefer a spanner of longer arm...

Why do we prefer a spanner of longer arm as compared to the spanner of shorter arm?

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The turning effect of force,`tau = vecr xx vecF` When arm of the spanner is long, r is larger. There fore smaller force (F) will produce the same turning effect. Hence, the spanner of longer arm is preferred as compared to the spanner of shorter arm.
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