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KonigGeist
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Homework Statement
The “Giant Swing” at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 6.17 m long, the upper end of the cable being fastened to the arm at a point 3.77 m from the central shaft. Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 32.7 degrees with the vertical.
Give your answer in seconds to the second decimal place.
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Homework Equations
a = 4[tex]\Pi[/tex]2R/T2
The Attempt at a Solution
Calculate the x component of the swing chain:
x = Lsin([tex]\Theta[/tex])
x = 6.17sin(32.7)
x = 3.33
Solve a = 4([tex]\Pi[/tex])2R/T2 for T:
a = 4[tex]Pi[/tex]2[tex]Theta[/tex]/T2
tan([tex]Theta[/tex]) = 4[tex]Pi[/tex]2[tex]Theta[/tex]/T2
T = 2[tex]Pi[/tex][tex]sqrt{Lcos(Theta)/g}[/tex]
I've calculated T using both the combined radius of the chain and arm, and using the chain and adding the arm. Am I going about this the right way? Does this equation even apply here?
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