Concept explainers
Convert (a) 50.0 rev to radians, (b) 48π rad to revolutions, (c) 72.0 rps to rad/s, (d) 1.50 × 103 rpm to rad/s, (e) 22.0 rad/s to rpm, (f) 2.000 rad/s to deg/s.
(a)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The number of revolutions is
Formula used:
The number of radians corresponding to the revolution of a disk is,
Here,
Explanation:
Consider the expression for number of radians covered.
Substitute
Conclusion:
The value of
(b)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in radians is
Formula used:
The number of radians corresponding to revolutions is,
Here,
Explanation:
Consider the expression for number of radians covered
Substitute
Conclusion:
The value of
(c)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in revolutions per second is
Formula used:
The number of radians per second corresponding to revolutions per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Conclusion:
The value of
(d)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in revolutions per minute is
Formula used:
The number of radians per minute corresponding to revolutions per minute is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Further solve,
Conclusion:
The value of
(e)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in rad/s is
Formula used:
The number of radians per second corresponding to revolutions per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Further solve,
Conclusion:
The value of
(f)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in rad/s is
Formula used:
The number of radians per second corresponding to degree per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity in degree per second
Substitute
Conclusion:
The value of
Want to see more full solutions like this?
Chapter 9 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- Math Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35 rad to degrees. (c) If a circle has radius 1.70 m, what is the are length subtended by a 47.0 angle? (See Sections 1.5 and 7.1.)arrow_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forwardWhat is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)arrow_forward
- The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?arrow_forwardConvert 46.0° to radians. rad (b) Convert 20.0 rad to revolutions. rev (c) Convert 71.0 rpm to rad/s. rad/sarrow_forwardConvert 48.0° to radians, 19.0 rad to revolutions, and 71.0 rpm to rad/s. (a) 48.0° to radians = ?rad (b) 19.0 rad to revolutions= ?rev (c) 71.0 rpm to rad/s= ?rad/sarrow_forward
- Convert 51.0° to radians. rad= (b Convert 14.0 rad to revolutions. rev= Convert 80.0 rpm to rad/s. rad/s=arrow_forwardA drill starts from rest. After 4 s of constant angular acceleration, it turns at a rate of 5x104 rev/min. The angle (in radians) through which the drill rotates during this period is 4,2x10ʻrad A O 7.4x10 rad B O 3.5x10 rad C O 2.5x10ʻrad D O 1.05x10 rad E Oarrow_forwardThe angular speed of a fan decelerates from 11.6 rad/s to 7.8 rad/s in 4.5 s. What is the magnitude of the average angular acceleration of the fan in rad/s?? Give your answer to 2 decimal places (no unit).arrow_forward
- (a) 53.0 to radians (b) 17.0 rad to revolutions (c) 77.5 rpm to rad/sarrow_forwardExpress the angular speed of 40 degrees per second in (a) rev/s, (b) rpm, (c)rad/s.arrow_forwardThe crankshaft in a race car goes from rest to 3000 rpmrpm in 3.5 ss. What is the angular acceleration of the crankshaft? How many revolutions does it make while reaching 3000 rpmrpm?arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning