**Problem Statement:**A mechanic changing the spark plugs in a car notes that the instruction manual calls for a torque with a magnitude of 13 N · m. If the mechanic grasps the wrench as shown in the figure below, determine the magnitude (in N) of the force she must exert on the wrench.**Diagram Explanation:**The diagram illustrates a wrench with a lever arm of 0.30 meters. The force \( \vec{F} \) is applied at a 60° angle to the lever arm. The task is to find the magnitude of force \( \vec{F} \) that results in a torque of 13 N · m.**Key Details:**- Torque required: 13 N · m- Length of lever arm: 0.30 m- Angle of applied force: 60°\[ \text{Force ( } \vec{F} \text{) = } \underline{\hspace{3cm}} \text{ N} \]Use the formula for torque: \[ \tau = r \times F \times \sin(\theta) \]Where:- \( \tau \) = torque - \( r \) = distance from pivot point (lever arm length)- \( F \) = force- \( \theta \) = angle between force and lever arm (60° in this case)

Given data: The magnitude of the torque required is T=13 N-m. The distance of force applied from spark plug is d=0.30 m. The angle made by force with wrench is θ=60o. The expression for the force exerted on the wrench can be calculated as, T=F×sinθ×dSubstitute the known values in the above expression. 13 N·m=F×sin60o×0.30 mF=13 N·m0.2598 mF=50.03 N Thus, the force exerted on the wrench is 50.03 N.

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A mechanic changing the spark plugs in a car notes that the instruction manual calls for a torque with a magnitude of 13 N · m. If the mechanic grasps the wrench as shown in the figure below, determine the magnitude (in N) of the force she must exert on the wrench. 0.30 m 60 N

A mechanic changing the spark plugs in a car notes that the instruction manual calls for a torque with a magnitude of 13 N · m. If the mechanic grasps the wrench as shown in the figure below, determine the magnitude (in N) of the force she must exert on the wrench. 0.30 m 60 N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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