/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q80P Two gyroscopes are made exactly ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q80P (page 416)

Two gyroscopes are made exactly alike except that the spinning disk in one is made of low-density aluminum, whereas the disk in the other is made of high-density lead. If they have the same spin angular speeds and the same torque is applied to both, which gyroscope processes faster?

Short Answer

Expert verified

The gyroscope made by lower density (aluminum) material will process faster.

Step by step solution

01

Definition of Angular speed

The angular speed is defined as how fast the rotating body鈥檚 angle will change corresponding to time.

02

Find which gyroscope processes faster

Precession angular speed is given by

蝇=蟺CMI蝇--路{1)

Here,

蟺CM= Torque about center of mass

I = Moment of inertia

蝇= Spin angular speed

Use given data and equation (1), the torque 蟺and angular speed 蝇are same for both disks, so precession angular speed is negative proportional to the moment of inertia of disks.

The moment of inertia of a disk is directly proportional to the mass of the disks, but also disks are identical, so the mass directly proportional to the density of the disks.

Therefore, the gyroscope made by lower density (aluminum) material will process faster.

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

Most popular questions from this chapter

The moment of inertia of a sphere of uniform density rotating on its axis is \(\frac{2}{5}M{R^2}\). Use data given at the end of this book to calculate the magnitude of the rotational angular momentum of the Earth.

At t=15s, a particle has angular momentum3,5,-2kg路m2/s relative to locationA . A constant torque10,-12,20N路m relative to locationA acts on the particle. Att=15.1s. what is the angular momentum of the particle?

Give an example of a situation in which an object is traveling a straight line, yet has non-zero angular momentum.

If an object has a moment of inertia \(19\,\,{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}\) and the magnitude of its rotational angular momentum is \(36\,\,\,{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}{\rm{/s}},\) what is its rotational kinetic energy?

A diver dives from a high platform (Figure 11.100). When he leaves the platform, he tucks tightly and performs three complete revolutions in the air, then straightens out with his body fully extended before entering the water. He is in the air for a total time of1.4 s.What is his angular speed 蝇 just as he enters the water? Give a numerical answer. Be explicit about the details of your model, and include (brief) explanations. You will need to estimate some quantities.
See all solutions

Recommended explanations on Physics Textbooks

Astrophysics

Read Explanation

Solid State Physics

Read Explanation

Famous Physicists

Read Explanation

Electricity

Read Explanation

Linear Momentum

Read Explanation

Modern 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.