A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades are 25 m in length.(a) What is the angular acceleration of the turbine (in rad/s2)? (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/s2 (c) What is the magnitude (in m/s2) 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 wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades are 25 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/s2(c) What is the magnitude (in m/s2) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.)m/s?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.)

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University Physics Volume 1

18th Edition

ISBN:9781938168277

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 17 s. Its blades are 25 m in length.

(a) What is the angular acceleration of the turbine (in rad/s²)? (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/s²

(c) What is the magnitude (in m/s²) 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 wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades are 25 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/s2
(c) What is the magnitude (in m/s2) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.)
m/s?
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.)

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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