he torque is rotational counterpart of force endency of rotating objects. The torque is r 1) force is larger 2) force is far from axis of rotation

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Multiple Choice Question:

**Concept: Torque**

Torque is the rotational counterpart of force, but it is not force. It has the tendency to rotate objects. The torque is more effective when:

1. The force is larger
2. The force is far from the axis of rotation
3. The angle between the radius (r) and the force is zero

**Choices:**

a) Only (1) is correct  
b) Only (2) is correct  
c) All (1), (2), and (3) are correct  
d) Both (1) and (2) are correct  

**Explanation:**

Torque (\(\tau\)) is calculated as the product of the force (\(F\)) and the lever arm distance (\(r\)) from the axis of rotation, with consideration of the angle (\(\theta\)) between them:

\[
\tau = r \cdot F \cdot \sin(\theta)
\]

- A larger force increases torque.
- Greater distance from the axis of rotation makes the torque more effective.
- If the angle is zero, \(\sin(0) = 0\), meaning no torque is generated when the force is aligned with the lever arm.
Transcribed Image Text:### Multiple Choice Question: **Concept: Torque** Torque is the rotational counterpart of force, but it is not force. It has the tendency to rotate objects. The torque is more effective when: 1. The force is larger 2. The force is far from the axis of rotation 3. The angle between the radius (r) and the force is zero **Choices:** a) Only (1) is correct b) Only (2) is correct c) All (1), (2), and (3) are correct d) Both (1) and (2) are correct **Explanation:** Torque (\(\tau\)) is calculated as the product of the force (\(F\)) and the lever arm distance (\(r\)) from the axis of rotation, with consideration of the angle (\(\theta\)) between them: \[ \tau = r \cdot F \cdot \sin(\theta) \] - A larger force increases torque. - Greater distance from the axis of rotation makes the torque more effective. - If the angle is zero, \(\sin(0) = 0\), meaning no torque is generated when the force is aligned with the lever arm.
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