A question about Simple Harmoic Motion

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SUMMARY

The discussion focuses on determining the period T of the simple harmonic motion (SHM) described by the equation Z(t) = 5Sin(2π/3t). The key takeaway is that the constant multiplier in the sine function, 2π/3, directly influences the period. Specifically, the period T is calculated using the formula T = 2π/K, where K is the constant multiplier, resulting in a period of 3 seconds for this particular function.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with trigonometric functions, specifically sine
  • Knowledge of the relationship between frequency and period
  • Basic algebra for manipulating equations
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  • Study the derivation of the period formula T = 2π/K in SHM
  • Explore the characteristics of different types of oscillatory motion
  • Learn about the impact of amplitude on SHM
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Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for clear explanations of simple harmonic motion concepts.

wowolala
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Homework Statement



Let Z(t)=(5)Sin(2∏/3t) in SHO

guys, who knows how to find the Period T from above equation ?

thx
 
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Read this: http://hyperphysics.phy-astr.gsu.edu/hbase/shm.html"
 
Last edited by a moderator:
ooooooo... let's see...

The constant in this sin function is 2*pi/3 right? Since a regular sin function has a period of 2 pi and a constant K multiplier reduces the period to 2pi/K, and K in your situation is 2*pi/3... then...
 

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