How Does a Loudspeaker's Cone Move in Simple Harmonic Motion?

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SUMMARY

The discussion focuses on the motion of a loudspeaker's cone vibrating in Simple Harmonic Motion (SHM) at a frequency of 262 Hz and an amplitude of 1.5 x 10^-4 m. The key equations for the motion include the position equation x(t) = A cos(ωt), where ω = 2πf, and the calculations for velocity and acceleration as functions of time. Participants are encouraged to derive the position of the cone at t = 1 ms using these equations.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with trigonometric functions and their applications in physics
  • Knowledge of angular frequency calculations (ω = 2πf)
  • Basic calculus for deriving velocity and acceleration functions
NEXT STEPS
  • Learn how to derive equations of motion for SHM
  • Study the relationship between frequency, amplitude, and angular frequency
  • Explore the concepts of velocity and acceleration in SHM
  • Practice solving SHM problems involving different frequencies and amplitudes
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and oscillatory motion, as well as educators looking for examples of SHM applications in real-world scenarios.

william
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Homework Statement



the cone of a loudspeaker vibrates in SHM at frequency of 262Hz. the amplitude at the center of the cone is A=1.5X10^-4m and t=0 and x=A (amplitude).

1) what equation describes the motion of the center of the cone ?

2) what are the velocity and acceleration as a function of time ?

3) what is the position of the cone at t=1ms ?

thanks

Homework Equations

The Attempt at a Solution



I don't have any ideas
 
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william said:

Homework Statement



the cone of a loudspeaker vibrates in SHM at frequency of 262Hz. the amplitude at the center of the cone is A=1.5X10^-4m and t=0 and x=A (amplitude).

1) what equation describes the motion of the center of the cone ?

2) what are the velocity and acceleration as a function of time ?

3) what is the position of the cone at t=1ms ?

thanks

Homework Equations

The Attempt at a Solution



I don't have any ideas

You need to learn or revise what you know about SHM and then give this question your best attempt. We can help if you get stuck.
 

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