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
[tex]T=2\pi \sqrt{\frac{l}{g} }[/tex]
l is the length of pendulum
g is acceleration due to gravity
[tex]g=9.8m/s^2[/tex]
now, we can plug values
and then we can solve for l
[tex]1.5=2\pi \sqrt{\frac{l}{9.8} }[/tex]
[tex]\frac{l}{9.8}=0.05699[/tex]
[tex]l=0.55853m[/tex]
In cm
[tex]l=55.853cm[/tex]
