College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Question
The top point on a 64-cm-diameter rolling bicycle wheel has an instantaneous speed of 14 m/s.
![### Topic: Understanding Wheel Revolutions
The problem statement is as follows:
- The top point on a 64-cm-diameter rolling bicycle wheel has an instantaneous speed of 14 m/s.
#### Part A
**Question:**
How many revolutions will the wheel make in 13 seconds?
**Task:**
Express your answer in revolutions.
#### Solution Approach
To solve this problem, you will need to use the formula relating the circumference of the wheel to the distance traveled and the number of revolutions. Here's the process:
1. **Find the circumference of the wheel:**
The circumference \( C \) is given by the formula:
\[
C = \pi \times \text{diameter}
\]
Given the diameter is 64 cm, convert it to meters (0.64 m for unit consistency).
2. **Calculate the distance traveled:**
The distance \( D \) traveled in 13 seconds can be found using:
\[
D = \text{speed} \times \text{time} = 14 \, \text{m/s} \times 13 \, \text{s}
\]
3. **Determine the number of revolutions \( N \):**
The number of revolutions is the distance traveled divided by the circumference:
\[
N = \frac{D}{C}
\]
This task involves understanding the relationship between linear and rotational motion, and practicing unit conversions and calculations of circular metrics.](https://content.bartleby.com/qna-images/question/7cf2af7a-a1e1-4cba-b7ac-6991a1c49765/3a15564e-a56c-4dbd-b825-d5603626a303/nuvaw7u_processed.jpeg)
Transcribed Image Text:### Topic: Understanding Wheel Revolutions
The problem statement is as follows:
- The top point on a 64-cm-diameter rolling bicycle wheel has an instantaneous speed of 14 m/s.
#### Part A
**Question:**
How many revolutions will the wheel make in 13 seconds?
**Task:**
Express your answer in revolutions.
#### Solution Approach
To solve this problem, you will need to use the formula relating the circumference of the wheel to the distance traveled and the number of revolutions. Here's the process:
1. **Find the circumference of the wheel:**
The circumference \( C \) is given by the formula:
\[
C = \pi \times \text{diameter}
\]
Given the diameter is 64 cm, convert it to meters (0.64 m for unit consistency).
2. **Calculate the distance traveled:**
The distance \( D \) traveled in 13 seconds can be found using:
\[
D = \text{speed} \times \text{time} = 14 \, \text{m/s} \times 13 \, \text{s}
\]
3. **Determine the number of revolutions \( N \):**
The number of revolutions is the distance traveled divided by the circumference:
\[
N = \frac{D}{C}
\]
This task involves understanding the relationship between linear and rotational motion, and practicing unit conversions and calculations of circular metrics.
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
- A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.875 m and 2.71 kg, respectively. When the propellor rotates at 519 rpm (revolutions per minute), what is its rotational kinetic energy ??arrow_forwardStarting from rest at t = 0, a wheel undergoes a constant acceleration from t = 0 to t = 10 s. When t = 3.0 s, the angular velocity of the wheel is 6.0 rad/s. Through what angle does the wheel rotate from t = 0 to t = 20 s.arrow_forwardCreate a bucket by rotating around the y axis the curve y 3 In(z 3) from y = 0 to y= 6. If this bucket contains a liquid with density 900 kg/m³ to a height of 2 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity. Work = Joulesarrow_forward
- It takes 5 s for a shaft of a motor to go from zero to 1600 rpm. Assuming constant angular acceleration, what is the value of the angular acceleration of the shaft?arrow_forwardA bicycle wheel of radius 19 cm rolls a distance of 10.0 km. How many revolutions does the wheel make during this journey?arrow_forwardA merry-go-round has a mass of 1450 kgkg and a radius of 7.50 mm . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.10 ss ? Assume it is a solid cylinder.arrow_forward
- The wheel of the bicycle has a diameter of 2.9 cm and can travel a maximum speed of 2 m/s. Starting from rest, how many revolution would it take for its wheel to cover a total distance of 34.5 km?arrow_forwardMost gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0100 s for a crankshaft with a radius of r₁ = 3.75 cm to reach 1550 rpm. If the belt does not stretch or slip, calculate the angular acceleration a2 of the larger camshaft, which has a radius of r2 = 7.50 cm, during this time period. α₂ = rad/s²arrow_forwardA flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 340-mile trip in a typical midsize car produces about 4.31 x 10 J of energy. How fast would a 34.8-kg flywheel with a radius of 0.577 m have to rotate to store this much energy? Give your answer in rev/min.arrow_forward
- A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a centripetal acceleration of 4.00 m/s2, what is the point’s tangential speed?arrow_forwardA 0.24 m radius grinding wheel takes 5.8 s to speed up from 2.6 rad/s to 5.9 rad/s. What is the wheel’s average angular acceleration?arrow_forwardA motor increases its speed from 100 rev/min to 500 rev/min in 20 seconds. If this is done with a constant angular acceleration, how many revolutions occur in this 20 s interval? 100 rev 200 rev 6000 rev 170 rev 67 revarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
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