Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q33P (page 289)

Calculate the rotational inertia of a wheel that has a kinetic energy of 24400 Jwhen rotating at 602rev/min.

Short Answer

Expert verified

Rotational inertia of a wheel is, l = 12.3 kg.m2.

Step by step solution

01

Understanding the given information

  1. Kinetic energy of the wheel is, K = 24400 J.
  2. Angular velocity of the wheel is, ω=602rev/min.
02

Concept and Formula used in the given question

By using the concept of Rotational kinetic energy, we can find rotational inertia of thewheel.

Rotational Kinetic energyK=12lω2

03

Calculation for the rotational inertia of a wheel

To calculate rotational inertia of the wheel we will use rotational kinetic energy formula and rearrange it for inertia I

K=12lω2l=2Kω2 …(1)

We have K = 24000 J

ω=602rev/min

Converting it into rad/sec

ω=602rev/min×2πrad/rev60s/min=63rad/s

Using ωand K in equation (1), we get

l=2×24400J63rad/s2=12.29kg.m2≈12.3kg.m2

Hence the rotational inertia of a wheel (I) is 12.3kg.m2.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

The body in Fig. 10-40 is pivoted at O. Three forces act on FA = 10N it: at point A,8.0m from O; FB = 16N at B,4.0m from O ; FC = 19Nandat C,3.0m from O. What is the net torque about O ?

Beverage engineering. The pull tab was a major advance in the engineering design of beverage containers. The tab pivots on a central bolt in the can’s top. When you pull upward on one end of the tab, the other end presses downward on a portion of the can’s top that has been scored. If you pull upward with a10 N force, approximately what is the magnitude of the force applied to the scored section? (You will need to examine a can with a pull tab.)

What is the angular speed of (a) the second hand, (b) the minute hand, and (c) the hour hand of a smoothly running analog watch? Answer in radians per second.

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0s, it rotates 25rad. During that time, what are the magnitudes of

(a) the angular acceleration and

(b) the average angular velocity?

(c) What is the instantaneous angular velocity of the disk at the end of the 5.0s?

(d) With the angular acceleration unchanged, through what additional angle will the disk turn during the next 5.0s?

The uniform solid block in Fig 10-38has mass 0.172kg and edge lengths a = 3.5cm, b = 8.4cm, and c = 1.4cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces.
See all solutions

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Read Explanation

Atoms and Radioactivity

Read Explanation

Energy Physics

Read Explanation

Rotational Dynamics

Read Explanation

Wave Optics

Read Explanation

Medical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free