My Math Forum "Simple Pendulum" problem

 Trigonometry Trigonometry Math Forum

 January 30th, 2015, 10:43 AM #1 Newbie   Joined: Jan 2010 Posts: 11 Thanks: 0 "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.
 January 30th, 2015, 12:47 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,767 Thanks: 1422 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
 January 30th, 2015, 01:16 PM #3 Newbie   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!

 Tags angle, problem, simple pendulum

,

,

,

,

,

,

,

,

,

,

,

,

,

,

# pendulum maths question

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post SedaKhold Calculus 0 February 13th, 2012 11:45 AM The Chaz Calculus 1 August 5th, 2011 09:03 PM PB268 Real Analysis 6 October 10th, 2010 11:20 AM katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM JMartins Algebra 3 July 5th, 2008 10:15 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top