Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis In the direction shown has an angular momentum Lin the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION Conceptualize Imagine spinning a bowling ball on the smooth floor of a bowling alley. Because a bowling ball is relatively heavy, the angular momentum should be relatively --Select-- Categorize We evaluate the angular momentum using L, - Io, so we categorize this example as --Select-- |problem. We start by making some estimates of the relevant physical parameters and model the ball as a uniform solid sphere. A typical bowling ball might have a mass of 7.0 kg and a radius of 12 cm. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m²): ]kg - m² Evaluate the magnitude of the angular momentum from the equation (in kg - m²/s): 4- lo = kg - m/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m/s): | kg - m²/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
Bowling Ball
Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure.
A bowling ball that rotates about the z axis
in the direction shown has an angular
momentum L in the positive z-direction. If
the direction of rotation is reversed, L points
in the negative z direction.
SOLUTION
Conceptualize Imagine spinning a bowling ball on the smooth floor of a bowling alley. Because a bowling ball is relatively heavy, the angular
momentum should be relatively ---Select---
Categorize We evaluate the angular momentum using L, = Io, so we categorize this example as --Select--- v problem.
We start by making some estimates of the relevant physical parameters and model the ball as a uniform solid sphere. A typical bowling ball
might have a mass of 7.0 kg and a radius of 12 cm.
Evaluate the moment of inertia of the ball about an axis through its center (in kg - m?):
1=MR?
|kg - m2
Evaluate the magnitude of the angular momentum from the equation (in kg - m?/s):
4 = Im =
kg - m?/s
Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in
kg - m?/s):
kg - m2/s
EXERCISE
Estimate the magnitude of the angular momentum (in kg - m?/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph.
Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm.
Hint
|kg - m²/s
Need Help?
Read It
Transcribed Image Text:Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis in the direction shown has an angular momentum L in the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION Conceptualize Imagine spinning a bowling ball on the smooth floor of a bowling alley. Because a bowling ball is relatively heavy, the angular momentum should be relatively ---Select--- Categorize We evaluate the angular momentum using L, = Io, so we categorize this example as --Select--- v problem. We start by making some estimates of the relevant physical parameters and model the ball as a uniform solid sphere. A typical bowling ball might have a mass of 7.0 kg and a radius of 12 cm. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m?): 1=MR? |kg - m2 Evaluate the magnitude of the angular momentum from the equation (in kg - m?/s): 4 = Im = kg - m?/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m?/s): kg - m2/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m?/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm. Hint |kg - m²/s Need Help? Read It
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Torque
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON