A mechanic tightens a bolt by pushing on the end of a long wrench

PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A mechanic tightens a bolt by pushing on the end of a 0.30 m0.30\,\text{m} long wrench. The torque specification for the bolt is 45 N ⁣⋅ ⁣m45\,\text{N}\!\cdot\!\text{m}. Answer the following questions related to units and magnitudes. (a) Rewrite 45 N ⁣⋅ ⁣m45\,\text{N}\!\cdot\!\text{m} entirely in SI base units of kg\text{kg}, m\text{m}, and s\text{s}. (b) Assuming the force is applied perpendicular to the wrench handle, determine the magnitude of the force the mechanic must exert to achieve the specified torque. Express your answer with the correct units. (c) Show explicitly how the units in part (b) combine to give the required units of torque, thereby verifying dimensional consistency.

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