An object travels in a vertical circle of 1.76 m radius. When the object is traveling downward and is 39.0° from its lowest point, its total acceleration is a = (18.5î + 16.2j) m/s2. At this instant, determine the following. (Take the angle 39.0° clockwise from the axis of the circle that intersects the center and the lowest point. Assume that the +x axis is to the right and the +y axis is up along the page.) (a) magnitude of the radial acceleration 22.89 Draw a figure in order to get a good view of the particle, the acceleration vector, and its components. How can you obtain the radial acceleration from the components of the total acceleration? m/s2 (b) magnitude of the tangential acceleration m/s? (c) speed of the object m/s (d) velocity of the object (Express your answer in vector form.) m/s

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
Chapter3: Motion In Two Dimensions
Section3.4: Analysis Model: Particle In Uniform Circular Motion
Problem 3.4QQ: Which of the following correctly describes the centripetal acceleration vector for a particle moving...
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An object travels in a vertical circle of 1.76 m radius. When the object is traveling downward and is 39.0° from its lowest point, its total acceleration is a =
(18.5î + 16.2j) m/s2. At this instant,
determine the following. (Take the angle 39.0° clockwise from the axis of the circle that intersects the center and the lowest point. Assume that the +x axis is to the right and the +y axis is up along
the page.)
(a) magnitude of the radial acceleration
22.89
Draw a figure in order to get a good view of the particle, the acceleration vector, and its components. How can you obtain the radial acceleration from the components of the total acceleration?
m/s2
(b) magnitude of the tangential acceleration
m/s?
(c) speed of the object
m/s
(d) velocity of the object (Express your answer in vector form.)
m/s
Transcribed Image Text:An object travels in a vertical circle of 1.76 m radius. When the object is traveling downward and is 39.0° from its lowest point, its total acceleration is a = (18.5î + 16.2j) m/s2. At this instant, determine the following. (Take the angle 39.0° clockwise from the axis of the circle that intersects the center and the lowest point. Assume that the +x axis is to the right and the +y axis is up along the page.) (a) magnitude of the radial acceleration 22.89 Draw a figure in order to get a good view of the particle, the acceleration vector, and its components. How can you obtain the radial acceleration from the components of the total acceleration? m/s2 (b) magnitude of the tangential acceleration m/s? (c) speed of the object m/s (d) velocity of the object (Express your answer in vector form.) m/s
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