5.) A spanner generates 7 N.m of torque. It has a length of 0.8m. Assume the Force is perpendicular to the wrench handle. a) how much Force is needed to generate this torque, given the length above? b) If the force value was kept the same, but the length was increased to 1.2m, how much torque is generated?

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)...
icon
Related questions
Question
---
### Understanding Torque and Force Application

#### Problem Statement:
A spanner generates 7 N·m of torque. It has a length of 0.8 m. Assume the force is perpendicular to the wrench handle.

##### Questions:
a) How much force is needed to generate this torque, given the length above?

b) If the force value was kept the same, but the length was increased to 1.2 m, how much torque is generated?

---

#### Explanation:
- **Torque (τ):** A measure of the force causing an object to rotate. The formula is τ = Force × Distance (perpendicular distance from the pivot point).
- **Given Details:**
  - Torque (τ) = 7 N·m
  - Length of wrench (L) = 0.8 m

#### Calculations:
- **(a) Calculating Force:**
  \[
  \text{Force} = \frac{\text{Torque}}{\text{Length}} = \frac{7 \, \text{N·m}}{0.8 \, \text{m}} = 8.75 \, \text{N}
  \]

- **(b) Calculating New Torque with Increased Length:**
  - New length = 1.2 m
  - Torque (τ') = Force × New Length
  \[
  \text{Torque (τ')} = 8.75 \, \text{N} \times 1.2 \, \text{m} = 10.5 \, \text{N·m}
  \]

#### Visual Description:
The image includes a simple illustration of a spanner, demonstrating the concept of torque visually in relation to the handle length. The spanner is depicted without specific measurements or labels.

This scenario demonstrates the relationship between torque, force, and distance, emphasizing the calculation aspects necessary for understanding basic physics related to rotational mechanics.
Transcribed Image Text:--- ### Understanding Torque and Force Application #### Problem Statement: A spanner generates 7 N·m of torque. It has a length of 0.8 m. Assume the force is perpendicular to the wrench handle. ##### Questions: a) How much force is needed to generate this torque, given the length above? b) If the force value was kept the same, but the length was increased to 1.2 m, how much torque is generated? --- #### Explanation: - **Torque (τ):** A measure of the force causing an object to rotate. The formula is τ = Force × Distance (perpendicular distance from the pivot point). - **Given Details:** - Torque (τ) = 7 N·m - Length of wrench (L) = 0.8 m #### Calculations: - **(a) Calculating Force:** \[ \text{Force} = \frac{\text{Torque}}{\text{Length}} = \frac{7 \, \text{N·m}}{0.8 \, \text{m}} = 8.75 \, \text{N} \] - **(b) Calculating New Torque with Increased Length:** - New length = 1.2 m - Torque (τ') = Force × New Length \[ \text{Torque (τ')} = 8.75 \, \text{N} \times 1.2 \, \text{m} = 10.5 \, \text{N·m} \] #### Visual Description: The image includes a simple illustration of a spanner, demonstrating the concept of torque visually in relation to the handle length. The spanner is depicted without specific measurements or labels. This scenario demonstrates the relationship between torque, force, and distance, emphasizing the calculation aspects necessary for understanding basic physics related to rotational mechanics.
Expert Solution
Step 1

Physics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Torque
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON