Question

The Swing Shot ride at Kennywood is basically a giant pendulum where the riders sit in the bob. If the ride goes through 8 oscillations in 70 seconds then what is the length of the arm. Assume that the ride is a simple pendulum.

Answer 1

Time Period is time taken for 1 oscillation

Given 8 oscillations in 70 seconds

so time for 1 oscillation= 70s/8

$T=8.75s$

Use Formula $T=2\pi \sqrt{l/g}$

$(T/2\pi )^{2}g= l$

$(8.75s/2\pi )^{2}*9.81= l$

ANSWER: ${\color{Red} l=19.03m}$

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