Question
a simple pendulum has a period of 4.50secs,when the length is shortened by 1.2m the period is 2.50secs. calculate the original length of the pendulum
Answers
Recall that T = 2π√(L/g)
so, L = (4.5/(2π))^2 * 9.81 = 5.03 m
was there some other value of g you wanted to use, making it necessary to consider the shorter pendulum?
Let's see what we'd do if we didn't know g.
T = 2π√(L/g)
T^2/L = 4π^2/g, which is constant. In that case, you want L such that
4.5^2/L = 2.5^2/(L-1.2)
That gives L = 1.74 m
so, L = (4.5/(2π))^2 * 9.81 = 5.03 m
was there some other value of g you wanted to use, making it necessary to consider the shorter pendulum?
Let's see what we'd do if we didn't know g.
T = 2π√(L/g)
T^2/L = 4π^2/g, which is constant. In that case, you want L such that
4.5^2/L = 2.5^2/(L-1.2)
That gives L = 1.74 m
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