An object moves in a horizontal circle at constant speed v (in units of m>s). It takes the object T seconds to complete one revolution. Derive an expression that gives the radial acceleration of the ball in terms of v and T, but not r. (a) If the speed doubles, by what factor must the period T change if arad is to remain unchanged? (b) If the radius doubles, by what factor must the period change to keep arad the same?
An object moves in a horizontal circle at constant speed v (in units of m>s). It takes the object T seconds to complete one revolution. Derive an expression that gives the radial acceleration of the ball in terms of v and T, but not r. (a) If the speed doubles, by what factor must the period T change if arad is to remain unchanged? (b) If the radius doubles, by what factor must the period change to keep arad the same?
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
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
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An object moves in a horizontal circle at constant speed
v (in units of m>s). It takes the object T seconds to complete one
revolution. Derive an expression that gives the radial acceleration of
the ball in terms of v and T, but not r. (a) If the speed doubles, by
what factor must the period T change if arad is to remain unchanged?
(b) If the radius doubles, by what factor must the period change to
keep arad the same?
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