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akan
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Homework Statement
While waiting for your plane to take off, you suspend your keys from a thread and set the resulting pendulum oscillating. It completes exactly 90 cycles in 1 minute. You repeat the experiment as the plane accelerates down the runway, and now find the pendulum completes exactly 97 cycles in 1 minute.
Find the plane's acceleration.
Homework Equations
T = 2 pi sqrt(L/g)
T = 1 / freq.
The Attempt at a Solution
T1 = 2 pi sqrt(L/g)
(T1 / (2 pi))2 g = L
T2 = 2 pi sqrt(L/(g + a))
a = L / (T2 / (2 pi))2 - g
a = (T1 / (2 pi))2 g / (T2 / (2 pi))2 - g
I get that a = 1.58, but that's wrong. The right answer is 5.8. What did I do incorrectly?