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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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