Length of Pendulum Homework: Find String Length

  • Thread starter Thread starter cupcakequeen
  • Start date Start date
  • Tags Tags
    Length Pendulum
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
4 replies · 2K views
cupcakequeen
Messages
8
Reaction score
0

Homework Statement



A 319g ball is tied to a string. It is pulled to an angle of 7.60 degrees and released to swing as a pendulum. A student with a stopwatch finds that 14 oscillations take 13.0s.
What is the length of the string?

Homework Equations


I have already tried using T = 2pi sqrtL/g, but that does not give me the right answer.


The Attempt at a Solution

 
Physics news on Phys.org
13 oscillations/14 seconds = 1.07 for T, and 1/1.07 = 0.928s for f.
Then I tried T = 2pi sqrt L/g, so 1.07 = 6.28 sqrt L/9.8m/s, then divided each side by 6.28 and got 0.170 = sqrt L/9.8, then squared each side, so 0.029 = L/9.8, then solve for L = 0.2842m, which is wrong according to MasteringPhysics.
 
I figured it out...I had period and frequency backwards