My Math Forum  

Go Back   My Math Forum > High School Math Forum > Trigonometry

Trigonometry Trigonometry Math Forum

Thanks Tree1Thanks
  • 1 Post By skeeter
LinkBack Thread Tools Display Modes
January 30th, 2015, 10:43 AM   #1
Joined: Jan 2010

Posts: 11
Thanks: 0

Question "Simple Pendulum" problem

Hi All!

My google-fu is failing me -- These forums have always been awesome with my questions, so I appreciate any help you all can give me.

I have a simple pendulum... i know the gravity (g), the length (L) and the period (the time it takes to travel from A to B and back to A).

Is there any possible way to figure out the angle theta? Well, to be more specific, theta when the pendulum is on it's outer-most position, before it starts swinging back the other way.

Bonus Points!
Can you figure out the length of the arc the bob travels?

Last edited by sonicmouse; January 30th, 2015 at 10:48 AM.
sonicmouse is offline  
January 30th, 2015, 12:47 PM   #2
Math Team
Joined: Jul 2011
From: Texas

Posts: 2,836
Thanks: 1479

The period of oscillation does not depend on the angle $\displaystyle \theta$. The period will stay the same for any displacement angle $\displaystyle \theta$ that results in simple harmonic motion ($\displaystyle \theta$ less than approximately 15 degrees).

The period of a simple pendulum exhibiting SHM depends only on the pendulum length and the acceleration due to gravity.

$\displaystyle T = 2\pi \sqrt{\frac{L}{g}}$
Thanks from sonicmouse
skeeter is offline  
January 30th, 2015, 01:16 PM   #3
Joined: Jan 2010

Posts: 11
Thanks: 0

ok, thanks -- I was thinking about it all wrong.

I was thinking about a clock pendulum; where it swings back and forth with a consistent period. But that isn't technically the same thing, since the pendulum's swing is influenced by external forces (such as the main spring energy).

Now I get it!
sonicmouse is offline  

  My Math Forum > High School Math Forum > Trigonometry

angle, problem, simple pendulum

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
A "simple" application of dirac delta "shift theorem" SedaKhold Calculus 0 February 13th, 2012 11:45 AM
"separate and integrate" or "Orangutang method" The Chaz Calculus 1 August 5th, 2011 09:03 PM
Very simple question: "How many holes has a sweater?" PB268 Real Analysis 6 October 10th, 2010 11:20 AM
sample exeriment-need help finding "statistic" and "result" katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM
Help with a "simple" algebra problem JMartins Algebra 3 July 5th, 2008 10:15 PM

Copyright © 2019 My Math Forum. All rights reserved.