A motorized wheel is spinning with a rotational velocity of @o = 1.57 rad/s. At t = 0 s, the operator switches the wheel to a nigher speed setting. The rotational velocity of the wheel at all subsequent times is given by @ (1) = @ŋarctan (c + br²) where c = 1.5574 and b = 5.65 s-2. At what time famax is the rotational acceleration at a maximum? I amax ms What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center? ɑ, = m/s? What is the magnitude of the total acceleration of this point? m/s? a =

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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A motorized wheel is spinning with a rotational velocity of am = 1.57 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
@ (t) = @narctan (c + br²)
where c = 1.5574 and b = 5.65 s-2.
At what time tamax is the rotational acceleration at a maximum?
tamax =
ms
What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center?
a, =
m/s?
What is the magnitude of the total acceleration of this point?
а
m/s?
Transcribed Image Text:A motorized wheel is spinning with a rotational velocity of am = 1.57 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 @ (t) = @narctan (c + br²) where c = 1.5574 and b = 5.65 s-2. At what time tamax is the rotational acceleration at a maximum? tamax = ms What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center? a, = m/s? What is the magnitude of the total acceleration of this point? а m/s?
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