A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 2.30 mm, and he operates it at 2.30 x 10° rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now?
A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 2.30 mm, and he operates it at 2.30 x 10° rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now?
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)...
Related questions
Question
![**Educational Content: Determining Tangential Speed and Period of Rotation**
A jeweler, aiming to buff a finished piece of jewelry, attaches a buffing disk to a drill. The following problem explores the physics of this process, specifically focusing on angular velocity and tangential speed.
**Given:**
- Radius of the disk: \(2.30 \, \text{mm}\)
- Angular velocity: \(2.30 \times 10^4 \, \text{rad/s}\)
**Task (a):** Determine the tangential speed, in meters per second (m/s), of the rim of the disk.
- Answer Box: [____] m/s
**Task (b):** The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now?
- Answer Box: [____] s
This exercise engages with basic principles of rotational motion, employing formulas such as:
\[ v = \omega \times r \]
Where \( v \) is the tangential speed, \( \omega \) the angular velocity, and \( r \) the radius of the disk.
For Task (b), the formula for the period \( T \) of rotation, which is the inverse of frequency \( f \), is used:
\[ T = \frac{2\pi}{\omega} \]
Understanding these principles is crucial for students studying rotational dynamics in physics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1def9bcf-e0b6-4f3f-82a1-faee2a34286b%2F46d03e49-a403-4a2d-8691-46888668e29e%2Fyas040p_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content: Determining Tangential Speed and Period of Rotation**
A jeweler, aiming to buff a finished piece of jewelry, attaches a buffing disk to a drill. The following problem explores the physics of this process, specifically focusing on angular velocity and tangential speed.
**Given:**
- Radius of the disk: \(2.30 \, \text{mm}\)
- Angular velocity: \(2.30 \times 10^4 \, \text{rad/s}\)
**Task (a):** Determine the tangential speed, in meters per second (m/s), of the rim of the disk.
- Answer Box: [____] m/s
**Task (b):** The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now?
- Answer Box: [____] s
This exercise engages with basic principles of rotational motion, employing formulas such as:
\[ v = \omega \times r \]
Where \( v \) is the tangential speed, \( \omega \) the angular velocity, and \( r \) the radius of the disk.
For Task (b), the formula for the period \( T \) of rotation, which is the inverse of frequency \( f \), is used:
\[ T = \frac{2\pi}{\omega} \]
Understanding these principles is crucial for students studying rotational dynamics in physics.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Knowledge Booster
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
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON