A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades are 27 m in length.

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 49P: A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are...
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A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades are 27 m in length.
(a) What is the angular acceleration of the turbine (in rad/s)? (Indicate the direction with the sign of your answer.)
|rad/s2
(b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.)
m/s?
(c) What is the magnitude (in m/s) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.)
m/s2
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.)
Transcribed Image Text:A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades are 27 m in length. (a) What is the angular acceleration of the turbine (in rad/s)? (Indicate the direction with the sign of your answer.) |rad/s2 (b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) m/s? (c) What is the magnitude (in m/s) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.) m/s2 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.)
A circular disk of radius 19 cm has a constant angular acceleration of 4.0 rad/s2; att = 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/s) of a point on the disk at t = 5.0 s?
m/s²
Transcribed Image Text:A circular disk of radius 19 cm has a constant angular acceleration of 4.0 rad/s2; att = 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/s) of a point on the disk at t = 5.0 s? m/s²
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