Q. 9 A thin, 100g disk with a diamete... [FREE SOLUTION]

Chapter 12: Q. 9 (page 330)

A thin, 100g disk with a diameter of 8.0 cm rotates about an axis through its center with 0.15 J of kinetic energy. What is the speed of a point on the rim?

Short Answer

Expert verified

The speed of a point on the rim is $2.4 m / s$

Step by step solution

Step 1. Given information

$\begin{array}{l} 搁补诲颈耻蝉鈥塷蹿鈥塺颈尘,鈥� R = 0.040 m \\ 惭补蝉蝉鈥塷蹿鈥塺颈尘,鈥� M = 0.10 kg \\ 搁辞迟补迟颈辞苍补濒鈥塳颈苍别迟颈肠鈥塭苍别谤驳测,鈥� K = 0.15 J \end{array}$

Step 2. Explanation

The moment of inertia of the disk

$I = \frac{1}{2} M R^{2} = \frac{1}{2} (0.10 kg) {(0.040 m)}^{2} = 8.0 脳 10^{鈭� 5} kg m^{2}$

The rotational kinetic energy

$\begin{array}{l} K = \frac{1}{2} I 蝇^{2} = 0.15 J \\ 蝇^{2} = \frac{2 (0.15 J)}{I} = \frac{0.30 J}{8.0 脳 10^{鈭� 5} kg m^{2}} \\ 蝇 = 61.237 rad / s \end{array}$

The speed of a point on the rim

. $v_{rim} = R 蝇 = (0.040 m) (61.237 rad / s) = 2.4 m / s$ $v_{rim} = R 蝇 = (0.040 m) (61.237 rad / s) = 2.4 m / s$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

A thin, 100g disk with a diameter of 8.0 cm rotates about an axis through its center with 0.15 J of kinetic energy. What is the speed of a point on the rim?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Classical Mechanics

Turning Points in Physics

Scientific Method Physics

Electrostatics

Physical Quantities And Units

Study anywhere. Anytime. Across all devices.