In lever systems, which expression shows how a lever reduces the effort required?

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Multiple Choice

In lever systems, which expression shows how a lever reduces the effort required?

The lever balances torque: effort times its arm equals load times its arm (E × Le = R × Lr). From this, the ratio of the arms is Le/Lr = R/E, which means the lever’s advantage is the load force divided by the effort force represented by the same ratio of arms. This shows how a longer effort arm reduces the needed effort for a given load. The expression that Le/Lr equals R/E directly captures that relationship. The other forms mix the ratios or invert them, which does not reflect the torque balance that governs lever action.

The lever balances torque: effort times its arm equals load times its arm (E × Le = R × Lr). From this, the ratio of the arms is Le/Lr = R/E, which means the lever’s advantage is the load force divided by the effort force represented by the same ratio of arms. This shows how a longer effort arm reduces the needed effort for a given load. The expression that Le/Lr equals R/E directly captures that relationship. The other forms mix the ratios or invert them, which does not reflect the torque balance that governs lever action.

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