An amusement park ride consists of a rotating circular platform 11.4 m in diameter from which 10 kg seats are suspended at the end of 1.54 m massless chains. When the system rotates, the chains make an angle of 32.3 ◦ with the vertical. What is the speed of each seat?

Explanation:

Formula for horizontal equilibrium is as follows.

Now, we will calculate the radius as follows.

        r =

           =

           = 5.7 m

Also,  

but from the figure r =

So,   r =

          =

          = 6.75 m

Now, we will calculate the velocity as follows.

                   V  =

                     = 8.98 m/s

Thus, we can conclude that the speed of each seat is 8.98 m/s.

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