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 ahigher 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 =msWhat 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?аm/s?

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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 =

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 =

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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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