How Do You Find Velocity in a Rotating Amusement Park Ride?

AI Thread Summary
To find the velocity of a seat on a rotating amusement park ride, a free-body diagram is essential to analyze the forces acting on the seat. The ride features a circular platform with a diameter of 8.26 m and suspended seats connected by 3.9 m chains, which form a 17.9-degree angle with the vertical during rotation. The gravitational acceleration is 9.8 m/s², which influences the tension in the chains. The correct approach involves resolving the forces into components to derive the centripetal acceleration and subsequently the velocity. Understanding these dynamics is crucial for accurately calculating the velocity of the rotating ride.
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Here's the problem. I don't understand how to get the velocity?

If you cannot read the attachment it reads:
An amusement park ride consists of a rotating
circular platform 8.26 m in diameter from
which 10 kg seats are suspended at the end
of 3.9 m massless chains. When the system
rotates, the chains make an angle of 17.9 with
the vertical.
The acceleration of gravity is 9.8 m/s2 .


I tried finding vx then doing vx*tanθ, but the computer said I was wrong...ANY HELP WOULD BE AMAZING! :frown:
 

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You need to do a free-body diagram for the seat.
 
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