Simple Harmonic Motion pulsatance Question

AI Thread Summary
The discussion revolves around calculating the pulsatance, period, and maximum acceleration of a particle undergoing simple harmonic motion (SHM) with an amplitude of 50 mm and a maximum speed of 0.25 m/s. The equations of motion for SHM are applied, leading to the substitution of variables to express the relationships between speed, amplitude, and angular frequency (ω). Participants express confusion regarding the correct approach to find the values of pulsatance and angular frequency. The conversation highlights the need for clarity on the definitions of variables like amplitude (a) and angular frequency (ω). Overall, the thread emphasizes the importance of correctly applying SHM equations to solve the problem.
gedanken6
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Homework Statement


A particle oscillates with an s.h.m of amplitude 50mm and a maximum speed of 0.25 m/s. Calculate the pulsatance, period and maximum acceleration


Homework Equations


x = a sin(wt)
dx/dt=awcos(wt)
d2x/dt2=aw^2sin(wt)
Put in x=0.05sin(wt)
0.25=0.05wcos(wt)
0=0.05w^2sin(wt)

The Attempt at a Solution


Put in x=0.05sin(wt)
0.25=0.05wcos(wt)
0=0.05w^2sin(wt)

Got 0 = wtan(wt)
Think I'm on the wrong track
 
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hi gedanken6! :smile:

(have an omega: ω and try using the X2 tag just above the Reply box :wink:)

so what is a?

and what is ω?
 
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