A fairgrounds ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 8.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 2.45 times that due to gravity?
a = 2.45*g
= 2.45*9.8 m/s^2
= 24.01 m/s^2
= v^2/r = r*ω^2
so ω = sqrt(a/r) = sqrt(24.01/8.00) = 1.732 rad/s
= 1.732*60/2pi rev/min
= 16.54 rev/min
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A fairgrounds ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path...
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(8%) Problem
11: A fairground ride spins its occupants
inside a flying saucer-shaped container.
Randomized Variables
r = 5.5
m
ac = 1.55
times
If the horizontal circular path the riders
follow has an 5.5
m radius, at how many revolutions per minute will the riders be
subjected to a centripetal acceleration 1.55
times that due to gravity?
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A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the bottom of the container. Suppose the centripetal acceleration of the sample is 4.47 x 103 times as large as the acceleration due to gravity. How many revolutions per...
A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the bottom of the container. Suppose the centripetal acceleration of the sample is 5.65 103 times as large as the acceleration due to gravity. How many revolutions per minute...