Simple pendulum problem - confirmation

Click For Summary
SUMMARY

The discussion centers on calculating the acceleration due to gravity using the simple pendulum formula. A pendulum with a length of 1.50 meters oscillates 72 times in 180 seconds, resulting in a period of 2.50 seconds. The formula used is g = (2π√ℓ / T)², which was correctly applied to derive the gravitational acceleration. Participants confirm the calculations are accurate and invite further clarification on the pendulum equation.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with the pendulum equation
  • Basic algebra for rearranging equations
  • Knowledge of units of measurement (seconds, meters)
NEXT STEPS
  • Study the derivation of the simple pendulum formula
  • Learn about the effects of length and mass on pendulum motion
  • Explore the concept of damping in pendulum systems
  • Investigate the relationship between oscillation frequency and gravitational acceleration
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the principles of pendulum motion and gravitational calculations.

Elysium
Messages
42
Reaction score
0
Hi, I got this question:
If a simple pendulum with length 1.50 m makes 72.0 oscillations in 180 s, what is the acceleration of gravity at its location?

Ok, for the period:

[tex]\frac{180\textit{s}}{72.0} = 2.50{\textit{s}}[/tex]

Then I found the pendulum equation that I don't understand well. I arraganged it to find the gravity:

[tex]g = \left( \frac{2\pi\sqrt{\ell}}{T} \right) ^2[/tex]

Then I plugged in the numbers and got the answer. Did I do this correctly? :confused:
 
Last edited:
Physics news on Phys.org
Looks fine =)

But do feel free to clarify your doubts with the pendulum equation if you have any ^^
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
Replies
17
Views
1K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K