Maths-
General
Easy
Question
Big Ben’s pendulum takes 4s to swing back and forth. The formula t = 2The formula The formula t=2π√(L/32) gives the swing time, t, in seconds, based on the length of the pendulum, L, in feet. What is the minimum length necessary to build a clock with a pendulum that takes longer than
Big ben’s pendulum to swing back and forth?
Hint:
Substitute the value of t and then find.
The correct answer is: 128 over pi squared
Complete step by step solution:
Here we have the formula to be
Big ben’s pendulum takes 4s,
On squaring, we have
So Big ben's pendulum is long. So the minimum length necessary to build a
clock with a pendulum that takes longer than Big ben’s pendulum to swing back and
forth is greater than .
So Big ben's pendulum is long. So the minimum length necessary to build a
clock with a pendulum that takes longer than Big ben’s pendulum to swing back and
forth is greater than .
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