/*! 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} Q16DQ You are standing at the center o... [FREE SOLUTION] | 91影视

91影视

You are standing at the center of a large horizontal turn-table in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely (that is, there is no motor driving the turntable). As you walk toward the edge of the turn-table, what happens to the combined angular momentum of you and the turntable? What happens to the rotation speed of the turntable? Explain.

Short Answer

Expert verified

Angular momentum remains the same

Angular speed decreased.

Step by step solution

01

Angular momentum

The product of the moment of inertia and the angular speed yields angular momentum. Which is given by

L=l

Where is angular momentum, is moment of inertia and is angular speed

02

Identification of given data

Here we have that a large horizontal turn-table in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely (that is, there is no motor driving the turntable).

03

Step 3: Finding Angular momentum and angular speed

The angular momentum will remain unchanged because there is no outside force.

When a person approaches the turntable's edge, their contribution to the angular momentum increases since it is proportionate to their proximity to the axis of rotation. The total moment of inertia rises because the moment of the turntable stays constant. Since the moment of inertia rises, the angular speed must decrease in order to maintain the same angular momentum.

Hence the angular momentum remains the same. And angular speed decreased.

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

Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a much smaller diameter. If you weigh 675Non the earth, what would you weigh at the surface of a neutron star that has the same mass as our sun and a diameter of 20km?

You normally drive on the freeway between San Diego and Los Angeles at an average speed of 105 km/h (65 mi/h), and the trip takes 1 h and 50 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 70 km/h (43 mi/h). How much longer does the trip take?

A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min, it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10 At which of the labeled points is her velocity (a) zero? (b) constant and positive? (c) constant and negative? (d) increasing in magnitude? (e) decreasing in magnitude?

Hot Jupiters. In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD179949 (hence the term 鈥渉ot Jupiter鈥). The orbit was just19 the distance of Mercury from our sun, and it takes the planet only3.09days to make one orbit (assumed to be circular). (a) What is the mass of the star? Express your answer in kilograms and as a multiple of our sun鈥檚 mass. (b) How fast (in km>s) is this planet moving?

A useful and easy-to-remember approximate value for the number of seconds in a year is饾洃脳107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)

See all solutions

Recommended explanations on Physics Textbooks

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.