Question

The pendulum of an antique clock has been damaged and needs to be replaced.If the original pendulum completed one swing every 1.5 seconds, how long should the new pendulum be?

Answer 1

Answer:

The length of pendulum is 55.853cm

Step-by-step explanation:

We are given

the original pendulum completed one swing every 1.5 seconds

so, T=1.5 sec

now, we can use time period formula

$T=2\pi \sqrt{\frac{l}{g} }$

l is the length of pendulum

g is acceleration due to gravity

$g=9.8m/s^2$

now, we can plug values

and then we can solve for l

$1.5=2\pi \sqrt{\frac{l}{9.8} }$

$\frac{l}{9.8}=0.05699$

$l=0.55853m$

In cm

$l=55.853cm$