A stuck lug nut requires at least 200 N·m of torque to loosen

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A stuck lug nut requires at least 200 N·m of torque to loosen. For safety, a mechanic wants a 20 % margin above this value. The mechanic can push with at most 180 N, and tight space limits the angle between the applied force and the wrench to 60°. What minimum wrench length is needed? Express your answer to two significant figures in meters.

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