A motorized wheel is spinning with a rotational velocity of a, = 1.81 rad/s. At t 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by w (1) = ayarctan (e + bi") where e= 1.5574 and b = 5.21 s-2. At what time tmas is the rotational acceleration at a maximum? Temax= 358.30 ms What is the maximum tangential acceleration a, of a point on the wheel a distance R= 1.11 m from its center?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...
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O Attempt 1
A motorized wheel is spinning with a rotational velocity of w = 1.81 rad/s. At t= 0 s, the operator switches the wheel to a
higher speed setting. The rotational velocity of the wheel at all subsequent times is given by
w (1) = anarctan (e + bi')
where e= 1.5574 and b = 5.21 s-2,
At what time tamas is the rotational acceleration at a maximum?
Temax =
358,30
ms
What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center?
1.26
a, =
m/s
What is the magnitude of the total acceleration of this point?
2.394
m/s?
Transcribed Image Text:O Attempt 1 A motorized wheel is spinning with a rotational velocity of w = 1.81 rad/s. At t= 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by w (1) = anarctan (e + bi') where e= 1.5574 and b = 5.21 s-2, At what time tamas is the rotational acceleration at a maximum? Temax = 358,30 ms What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center? 1.26 a, = m/s What is the magnitude of the total acceleration of this point? 2.394 m/s?
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