Question

You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of $45 \mathrm{N} \cdot \mathrm{m}$. Using the data in the drawing, determine the magnitude $F$ of the force that you must exert on the wrench.

Name: Problem 3, Chapter 9: Physics
Uploaded: 2021-03-10T11:38:53-08:00
Duration: 48 s
Channel: Khoobchandra Agrawal
Description: You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 45 N ·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench.

   You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of $45 \mathrm{N} \cdot \mathrm{m}$. Using the data in the drawing, determine the magnitude $F$ of the force that you must exert on the wrench.

Physics

John D. Cutnell,… 11th Edition

Chapter 9, Problem 3

Instant Answer

Solved by Expert Khoobchandra Agrawal

03/10/2021

Step 1

Step 1: The torque $\tau$ is given by the formula $\tau = F \cdot l \cdot \sin(\theta)$, where $F$ is the force applied, $l$ is the length of the lever arm, and $\theta$ is the angle between the force vector and the lever arm. Show more…

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You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of $45 \mathrm{N} \cdot \mathrm{m}$. Using the data in the drawing, determine the magnitude $F$ of the force that you must exert on the wrench.

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Key Concepts

Torque

Torque is a measure of the rotational force applied to an object. It quantifies the tendency of a force to cause an object to rotate about an axis, and is calculated as the product of the force and the lever arm (the perpendicular distance from the axis of rotation to the line of the force). In the SI system, torque is measured in Newton-meters (N·m).

Force

Force is any interaction that, when applied to an object, can cause a change in its motion. When dealing with rotational systems, the magnitude of the force, when applied at a certain distance from the pivot point, directly influences the magnitude of the torque produced.

Lever Arm

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. It is a critical factor in the calculation of torque because it determines how effectively a force can cause rotational motion. A longer lever arm requires less force to achieve the same amount of torque.

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