Simple Harmonic Motion pulsatance Question

In summary, the conversation discusses calculating the pulsatance, period, and maximum acceleration of a particle that is oscillating with simple harmonic motion. The particle has an amplitude of 50mm and a maximum speed of 0.25 m/s. The equations for simple harmonic motion are provided, and the attempt at a solution involves setting x=0.05sin(wt) and using the equations to solve for ω. However, the attempt at a solution is deemed incorrect and the conversation continues with clarifying the values of a and ω.
  • #1
gedanken6
3
0

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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  • #2
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?
 

Related to Simple Harmonic Motion pulsatance Question

What is Simple Harmonic Motion?

Simple Harmonic Motion is a type of oscillatory motion where an object moves back and forth around a central equilibrium point due to a restoring force that is proportional to its displacement from that point.

What is pulsatance?

Pulsatance, also known as angular frequency, is a measure of how quickly an object oscillates in Simple Harmonic Motion. It is equal to 2π times the frequency of the motion.

What factors affect the pulsatance of an object in Simple Harmonic Motion?

The pulsatance of an object in Simple Harmonic Motion is affected by two factors: the mass and the stiffness of the object. A heavier object or a stiffer spring will have a higher pulsatance, while a lighter object or a more flexible spring will have a lower pulsatance.

How is pulsatance related to the period of Simple Harmonic Motion?

The period of Simple Harmonic Motion is equal to 2π divided by the pulsatance. This means that as the pulsatance increases, the period decreases and vice versa.

What are some real-life examples of Simple Harmonic Motion?

Some common examples of Simple Harmonic Motion include a pendulum swinging, a mass on a spring bouncing up and down, and a mass attached to a rubber band being pulled and released. In nature, waves in water and sound waves also exhibit Simple Harmonic Motion.

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