A force is applied to a wrench at a point from the bolt’s axis

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A 25 N25\,\text{N} force is applied to a wrench at a point 0.15 m0.15\,\text{m} from the bolt’s axis. The force makes an angle of 60∘60^{\circ} with the wrench handle (measured between the direction of the force and the handle itself). Use the information below to explore unit conversions and dimensional consistency. (a) Calculate the magnitude of the torque produced on the bolt. Keep your answer in the commonly used derived unit for torque. (b) Convert the numerical result from part (a) into base SI units kg m2 s−2\text{kg}\,\text{m}^{2}\,\text{s}^{-2}. Show your conversion steps. (c) Suppose another student mistakenly reports the quantity you calculated in part (a) using the unit "joule" instead of the correct torque unit. Explain why this substitution is physically inappropriate, referencing both the nature of the quantities involved and the role of the angle in torque production.

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