The \"Screaming Swing\" is a carnival ride that is - not surprisingly - a giant
ID: 1278583 • Letter: T
Question
The "Screaming Swing" is a carnival ride that is - not surprisingly - a giant swing. It's actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 32m/s with respect to the ground in a 50-m -diameter circle. The rider in the other swing is moving in a similar circle at the same speed, but in the exact opposite direction. What is the acceleration, in m/s2 , that riders experience? What is the acceleration, in units of g , that riders experience? At the bottom of the ride, as they pass each other, how fast do the riders move with respect to each other?
Explanation / Answer
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The "Screaming Swing" is a carnival ride that is-not surprisingly-a giant swing. It's actually two swings moving in opposite directions. At the bottom of its arc, riders are moving at 27m/s with respect to the ground in a 43m -diameter circle.
What is the acceleration, in m/s2 ,that riders experience?
What is the acceleration, in units of g , that riders experience?
At the bottom of the ride, as they pass each other, how fast do the riders move with respect to each other?
Answer
As we know that
Centripetal acceleration = v^2/r
= 27^2/(0.5*43)
= 33.907 m/sec^2
As g 9.8 m/sec^2
S
a = 33.907/9.8 g
= 3.46g
Velocity = v - (-v)
= 2v
= 2*27
= 54 m/sec
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