Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Problem 20

Express the units of angular momentum (a) using only the fundamental units kilogram, meter, and second; (b) in a form involving newtons; (c) in a form involving joules.

Short Answer

Expert verified
a) The units of angular momentum in the fundamental units of kilogram, meter, and second is Kg.m^2/s. b) In units involving Newtons, it is N.m.s. c) In units involving Joules, it is J.s.

Step by step solution

01

Express units in fundamental units

The angular momentum is already expressed in terms of the fundamental units, which are kilogram, meter and second. It is Kg.m^2/s.
02

Express units involving newtons

A newton is a unit of force, and it's equal to Kg.m/s^2. Now we express the angular momentum in terms of newtons: \n So, the unit of angular momentum \( Kg.m^2/s \) can be written as \( N.m.s \)
03

Express units involving joules

A joule is a unit of energy, and it's equal to N.m. Now expressing the angular momentum in units involving joules: The unit of angular momentum \( Kg.m^2/s \) (or \( N.m.s \) as we previously found) can be written as \( J.s \)

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.

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

A skater has rotational inertia \(4.2 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his fists held to his chest and \(5.7 \mathrm{kg} \cdot \mathrm{m}^{2}\) with his arms outstretched. The skater is spinning at 3.0 rev/s while holding a 2.5 -kg weight in each outstretched hand; the weights are \(76 \mathrm{cm}\) from his rotation axis. If he pulls his hands in to his chest, so they're essentially on his rotation axis, how fast will he be spinning?

As an automotive engineer, you're charged with redesigning a car's wheels with the goal of decreasing each wheel's angular momentum by \(30 \%\) for a given linear speed of the car. Other design considerations require that the wheel diameter go from \(38 \mathrm{cm}\) to \(35 \mathrm{cm} .\) If the old wheel had rotational inertia \(0.32 \mathrm{kg} \cdot \mathrm{m}^{2},\) what do you specify for the new rotational inertia?

A 7.4 -cm-diameter baseball has mass \(145 \mathrm{g}\) and is spinning at 2000 rpm. Treating the baseball as a uniform solid sphere, what's its angular momentum?

A time-dependent torque given by \(\tau=a+b\) sin \(c t\) is applied to an object that's initially stationary but is free to rotate. Here \(a, b\) and \(c\) are constants. Find an expression for the object's angular momentum as a function of time, assuming the torque is first applied at \(t=0\).

A wheel is spinning at 45 rpm with its axis vertical. After 15 s, it's spinning at 60 rpm with its axis horizontal. Find (a) the magnitude of its average angular acceleration and (b) the angle the average angular acceleration vector makes with the horizontal.
See all solutions

Recommended explanations on Physics Textbooks

Fields in Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Measurements

Read Explanation

Torque and Rotational Motion

Read Explanation

Force

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