Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at their center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 6.0 ss and the diameter of the ride is 14 ftft . Part A For this typical time, what is the speed of the rider, in m/sm/s? Express your answer in meters per second. vv = m/sm/s Part B What is the rider’s radial acceleration, in m/s2m/s2? Express your answer in meters per second squared. aradarad = nothing m/s2m/s2 Part C What is the rider’s radial acceleration if the time for one rotation is halved? Express your answer in meters per second squared. aradarad = nothing m/s2m/s2

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...
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Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at their center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 6.0 ss and the diameter of the ride is 14 ftft .
 
 

Part A

For this typical time, what is the speed of the rider, in m/sm/s?
Express your answer in meters per second.
 
 
 
 
vv =
 
m/sm/s
 
 

Part B

What is the rider’s radial acceleration, in m/s2m/s2?
Express your answer in meters per second squared.
 
 
 
 
aradarad =
nothing
m/s2m/s2
 
 

Part C

What is the rider’s radial acceleration if the time for one rotation is halved?
Express your answer in meters per second squared.
 
 
 
 
aradarad =
nothing
m/s2m/s2
 
 
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