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)...
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![**Wind Turbine Rotational Problem**
A wind turbine is rotating counterclockwise at 0.78 revolutions per second and slows to a stop in 21 seconds. Its blades are 27 meters in length.
**(a)** What is the angular acceleration of the turbine (in \(\text{rad/s}^2\))? (Indicate the direction with the sign of your answer.)
\[ \boxed{\phantom{0}} \, \text{rad/s}^2 \]
**(b)** What is the centripetal acceleration (in \(\text{m/s}^2\)) of the tip of the blades at \(t = 0\)? (Enter the magnitude. Round your answer to at least two decimal places.)
\[ \boxed{\phantom{0}} \, \text{m/s}^2 \]
**(c)** What is the magnitude (in \(\text{m/s}^2\)) of the total linear acceleration of the tip of the blades at \(t = 0\)? (Round your answer to at least two decimal places.)
\[ \boxed{\phantom{0}} \, \text{m/s}^2 \]
What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)
\[ \boxed{\phantom{0}} \, ^\circ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2F935562be-3f7b-41c5-9fd1-98c4574cb30b%2Fkagyrm_processed.png&w=3840&q=75)
Transcribed Image Text:**Wind Turbine Rotational Problem**
A wind turbine is rotating counterclockwise at 0.78 revolutions per second and slows to a stop in 21 seconds. Its blades are 27 meters in length.
**(a)** What is the angular acceleration of the turbine (in \(\text{rad/s}^2\))? (Indicate the direction with the sign of your answer.)
\[ \boxed{\phantom{0}} \, \text{rad/s}^2 \]
**(b)** What is the centripetal acceleration (in \(\text{m/s}^2\)) of the tip of the blades at \(t = 0\)? (Enter the magnitude. Round your answer to at least two decimal places.)
\[ \boxed{\phantom{0}} \, \text{m/s}^2 \]
**(c)** What is the magnitude (in \(\text{m/s}^2\)) of the total linear acceleration of the tip of the blades at \(t = 0\)? (Round your answer to at least two decimal places.)
\[ \boxed{\phantom{0}} \, \text{m/s}^2 \]
What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)
\[ \boxed{\phantom{0}} \, ^\circ \]
![A circular disk of radius 19 cm has a constant angular acceleration of 4.0 rad/s²; at t = 0 its angular velocity is 5.5 rad/s. (Enter the magnitudes.)
(a) Determine the disk's angular velocity (in rad/s) at t = 5.0 s.
[ ] rad/s
(b) What is the angle (in rad) it has rotated through during this time?
[ ] rad
(c) What is the tangential acceleration (in m/s²) of a point on the disk at t = 5.0 s?
[ ] m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2F935562be-3f7b-41c5-9fd1-98c4574cb30b%2F7gjysq7_processed.png&w=3840&q=75)
Transcribed Image Text:A circular disk of radius 19 cm has a constant angular acceleration of 4.0 rad/s²; at t = 0 its angular velocity is 5.5 rad/s. (Enter the magnitudes.)
(a) Determine the disk's angular velocity (in rad/s) at t = 5.0 s.
[ ] rad/s
(b) What is the angle (in rad) it has rotated through during this time?
[ ] rad
(c) What is the tangential acceleration (in m/s²) of a point on the disk at t = 5.0 s?
[ ] m/s²
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