Homework Help is Here – Start Your Trial Now!
Science
Physics
A wheel has an angular speed of 49 rev/s when it experiences a constant angular acceleration of 69 rev/s² which causes it to spin FASTER. During this time the wheel completes 70 rev. Determine how long the wheel was experiencing this angular acceleration and how fast the wheel was spinning at the end of this period. Assume that the wheel doesn't change the direction of its spin. At = wf =

A wheel has an angular speed of 49 rev/s when it experiences a constant angular acceleration of 69 rev/s² which causes it to spin FASTER. During this time the wheel completes 70 rev. Determine how long the wheel was experiencing this angular acceleration and how fast the wheel was spinning at the end of this period. Assume that the wheel doesn't change the direction of its spin. At = wf =

College Physics
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)...
See similar textbooks
icon
Related questions
Question
How do you solve this problem?
**Problem Statement:** A wheel has an angular speed of 49 revolutions per second (rev/s) when it experiences a constant angular acceleration of 69 revolutions per second squared (rev/s²), which causes it to spin faster. During this time, the wheel completes 70 revolutions. Determine how long the wheel was experiencing this angular acceleration and how fast the wheel was spinning at the end of this period. Assume that the wheel doesn't change the direction of its spin. **Given:** - Initial angular speed \( \omega_i = 49 \, \text{rev/s} \) - Angular acceleration \( \alpha = 69 \, \text{rev/s}^2 \) - Total revolutions \( \theta = 70 \, \text{rev} \) **Required:** 1. Time duration \( \Delta t \) for the wheel to complete these revolutions. 2. Final angular speed \( \omega_f \). **Equations:** 1. \( \theta = \omega_i \Delta t + \frac{1}{2} \alpha (\Delta t)^2 \) 2. \( \omega_f = \omega_i + \alpha \Delta t \) You can solve these equations to find \( \Delta t \) and \( \omega_f \).
Transcribed Image Text:**Problem Statement:** A wheel has an angular speed of 49 revolutions per second (rev/s) when it experiences a constant angular acceleration of 69 revolutions per second squared (rev/s²), which causes it to spin faster. During this time, the wheel completes 70 revolutions. Determine how long the wheel was experiencing this angular acceleration and how fast the wheel was spinning at the end of this period. Assume that the wheel doesn't change the direction of its spin. **Given:** - Initial angular speed \( \omega_i = 49 \, \text{rev/s} \) - Angular acceleration \( \alpha = 69 \, \text{rev/s}^2 \) - Total revolutions \( \theta = 70 \, \text{rev} \) **Required:** 1. Time duration \( \Delta t \) for the wheel to complete these revolutions. 2. Final angular speed \( \omega_f \). **Equations:** 1. \( \theta = \omega_i \Delta t + \frac{1}{2} \alpha (\Delta t)^2 \) 2. \( \omega_f = \omega_i + \alpha \Delta t \) You can solve these equations to find \( \Delta t \) and \( \omega_f \).
Expert Solution
Step 1

Given data: 

Initial Angular speed (ωi) = 49 rev/s

Angular acceleration (α) = 69 rev/s2

Angular displacement (Δθ) = 70 rev

Required:

Final angular velocity (ωf) and time interval (Δt) 

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
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.
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
SEE MORE TEXTBOOKS