Question

Please Help!! The pendulum of an antique clock has been damaged and needs to be replaced.If the original pendulum completed one swing every 3.2 seconds, how long should the new pendulum be? Round your answer to the ones place. Use The Formula: T=2π√ L/980 A.110 Centimeters B.500 Centimeters C.254 Centimeters D.306 Centimeters

Answer 1

In order to solve this, we just need to solve for L, because we are told what T is (3.2).

Here is how we set up the equation:


`3.2=2 \pi √(L/980)`

We can now solve for L. First, let's divide both sides by 2 pi. Now, our equation is:


`(3.2)/(2 \pi ) = √(L/980)`

Now, we square both sides to get rid of the square root. This is equal to:


`( 3.2^(2) )/( (2 \pi )^(2) ) =L/980=0.2594`

Now, we have 0.2594 = L/980. We finish the problem by multiplying both sides by 980. This becomes

254 = L.

So, the answer is C, 254 centimeters.