Measuring the Height of a Lighthouse with a Pendulum

[Forceflow]

A visitor to a lighthouse wishes to determine the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.52 s. What is the height of the tower?

So, the formula that i used was T=2Pi(square root(length/gravity))
so..that equals 9.52^2=4Pi^2(l/9.81)
-Then, 9.81(9.52^2)/(4Pi^2)=length
So, the answer that i got was 2193.727, but it was wrong.

 

[OlderDan]

A visitor to a lighthouse wishes to determine the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.52 s. What is the height of the tower?

So, the formula that i used was T=2Pi(square root(length/gravity))
so..that equals 9.52^2=4Pi^2(l/9.81)
-Then, 9.81(9.52^2)/(4Pi^2)=length
So, the answer that i got was 2193.727, but it was wrong.

The approach is correct. Check your computation.

 

[Forceflow]

ok

ok thanks. I got it right. I did wrong on on the calculator lol.