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Chapter 12: Problem 3

What three factors affect the torque created by a force relative to a specific pivot point?

Short Answer

Expert verified
The three factors that affect the torque created by a force relative to a specific pivot point are :the force applied, the distance from the pivot point to the point where the force is applied, and the angle at which the force is applied.

Step by step solution

01

Define Torque

Torque (\( \tau \)) is defined as the rotational equivalent of linear force. It measured in Newton-Meters (N.m) and is a vector quantity. Torque indicates the level of force that can cause an object to rotate around an axis.
02

Identify Factor 1 - Force

The first factor is the magnitude of the force applied. The greater the force applied to the object, the greater the torque. It is directly proportional to the torque, which means if the force is doubled, the torque will also double.
03

Identify Factor 2 - Distance

The second factor is the distance (r) from the pivot point to the point where the force is applied. This is often referred to as the lever arm. The longer the lever arm, the less force is required to produce a given torque, indicating that torque is directly proportional to the distance.
04

Identify Factor 3 - Angle

The third factor is the angle (\( \theta \)) at which the force is applied. Torque is maximized when the force is applied at right angles (90 degrees) to the lever arm. Therefore, torque is also dependent on the angle of force application, and it can be calculated using the formula \(\tau = rFsin(\theta)\).

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