College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
![### Problem Statement
1. The propeller of a World War II fighter plane is 2.1 m in diameter.
#### (a) Calculate the Angular Velocity
- **What is its angular velocity in radians per second if it spins at 1300 revolutions per minute (rev/min)?**
\[
\omega = \text{______ rad/s}
\]
#### (b) Determine the Linear Speed
- **What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac?**
\[
v = \text{______ m/s}
\]
#### (c) Calculate the Centripetal Acceleration
- **What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared.**
\[
a_c = \text{______ m/s}^2
\]
- **Compare the centripetal acceleration to the acceleration due to gravity \( g \). Is the centripetal acceleration very large or very small compared to \( g \)?**
\[
\frac{a_c}{g} = \text{______}
\]
### Explanation
- **Angular Velocity Calculation**: Convert revolutions per minute to radians per second.
- **Linear Speed Calculation**: Use the formula \( v = \omega \times r \), where \( r \) is the radius.
- **Centripetal Acceleration Calculation**: Use the formula \( a_c = v^2 / r \).
- **Comparison to Gravity**: Compare \( a_c \) to \( g \) (9.81 m/s²) to assess the magnitude of the centripetal acceleration.](https://content.bartleby.com/qna-images/question/0761ca0b-8a30-47ed-b77e-00687bf0302e/f5a3fa93-e5e8-4c6c-aa4f-e7bfe6da2aa2/ifwd7ta_processed.jpeg)
Transcribed Image Text:### Problem Statement
1. The propeller of a World War II fighter plane is 2.1 m in diameter.
#### (a) Calculate the Angular Velocity
- **What is its angular velocity in radians per second if it spins at 1300 revolutions per minute (rev/min)?**
\[
\omega = \text{______ rad/s}
\]
#### (b) Determine the Linear Speed
- **What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac?**
\[
v = \text{______ m/s}
\]
#### (c) Calculate the Centripetal Acceleration
- **What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared.**
\[
a_c = \text{______ m/s}^2
\]
- **Compare the centripetal acceleration to the acceleration due to gravity \( g \). Is the centripetal acceleration very large or very small compared to \( g \)?**
\[
\frac{a_c}{g} = \text{______}
\]
### Explanation
- **Angular Velocity Calculation**: Convert revolutions per minute to radians per second.
- **Linear Speed Calculation**: Use the formula \( v = \omega \times r \), where \( r \) is the radius.
- **Centripetal Acceleration Calculation**: Use the formula \( a_c = v^2 / r \).
- **Comparison to Gravity**: Compare \( a_c \) to \( g \) (9.81 m/s²) to assess the magnitude of the centripetal acceleration.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
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
- Ā CEEE pletion Status: QUESTION 22 The coordinate of an object is given as a function of time by 0 = 7t-32, where 0 is in radians and it is in seconds. Its angular velocity at t = 3 s is: OA. 1.0 rad/s OB.-11 rad/s OC.-3.7 rad/s OD. 11 rad/s OE. 3.7 rad/s ings to the same rod and rotate around it, as shown below. Rank the balls according to their rotationalarrow_forwardA point on the rim of a 0.87 m radius rotating wheel has a centripetal acceleration of 8.8 m/s2. What is the angular velocity of a point 0.18 m from the center of the wheel?arrow_forwardA ceiling fan with 90.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 30.0 seconds after being turned off.Assuming the fan is slowing down at a constant rate, what is the angular acceleration (in rad/s/s) of the fan? What is the fan's angular velocity (in rad/s) 15 seconds after being turned off? What is the speed of the tip of the blade (in m/s) 15 seconds after being turned off? Through how many revolutions does the fan turn while stopping?arrow_forward
- SS fe 1. A Ferris wheel with a diameter of 36.0 m starts from rest and achieves it maximum operational tangential speed of 2.70 m/s in a time of 22.0 s. What is the magnitude of the wheel's angular acceleration? rad/s² 60 ssf6arrow_forwardA motorsports driver is driving his car at a constant speed of 37.0 m/s on a circular track with a radius of 260 m. What is the angular speed (in rad/s) of the car? What are the magnitude (in m/s2) and direction of the car's acceleration?arrow_forwardA particle moves 6.7 m along a circle of radius 2.0 m. (Enter the magnitudes.) (a) Through what angle does it rotate (in rad)? rad (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity (in rad/s)? rad/s (c) What is its acceleration (in m/s2)? m/s2arrow_forward
- 1. The propeller of a World War II fighter plane is 2.2 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev / min? W= rad/s (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac garrow_forwardThe propeller of a World War II fighter plane is 2.50 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1100 rev / min? Enter to 3 significant figures W (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? Enter to 3 significant figures V= rad/s (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared Enter to 3 significant figures ac g m/s ac = ✔m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? Enter to 3 significant figures = ✓ (d) State what force provided this centripetal acceleration.arrow_forwardA figure skater does a single-axle jump, turning 1.5 revolutions while in the air. The skater is in the air for 0.48 s, and his hands are located 0.69 m from the rotation axis. a) What is the angular velocity (in rad/s) of the skater during the leap? b) What is the linear tangential speed (in m/s) of the skater's hand? c) What is the centripetal acceleration (in m/s^2) of each of the skater's hands during the jump?arrow_forward
- An ultracentrifuge accelerates from rest to 9.91 × 10° rpm in 1.75 min. What is its angular acceleration in radians per second squared? angular acceleration: 978 rad/s? What is the tangential acceleration of a point 9.30 cm from the axis of rotation? tangential acceleration: 90.9 m/s? What is the radial acceleration in meters per second squared and in multiples of g of this point at full revolutions per minute? radial acceleration: 1.002 x10° m/s? radial acceleration in multiples of g:arrow_forwardA flywheel slows from 549.7 rev/min down to 314.7 rev/min while spinning through 40.9 revolutions. What is the angular acceleration of the flywheel (in rad/s/s)? Assume that the flywheel slows down at a constant rate.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON