Simple Harmonic Motion and time calculation

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Homework Help Overview

The discussion revolves around a problem in simple harmonic motion, specifically calculating the time it takes for an object to move from a position of 5.95 cm to -1.44 cm, given its period and amplitude.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of equations related to simple harmonic motion, including the period and angular frequency. There is a focus on identifying potential mistakes in calculations, particularly regarding unit conversions.

Discussion Status

Some participants have provided insights into the calculation process, questioning the correctness of the initial answer and suggesting a review of angular values. One participant has indicated a resolution to their issue related to unit conversion.

Contextual Notes

There is mention of a specific period and amplitude, and the original poster's confusion regarding the calculation process, particularly around the conversion of degrees to radians.

weskerq8
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Homework Statement



An object is undergoing simple harmonic motion with period 0.280 s and amplitude 5.95 cm . At t=0 the object is instantaneously at rest at x= 5.95 cm.

Calculate the time it takes the object to go from x= 5.95 to x= -1.44 .

Homework Equations



X=A.cos(wt) ------> the phase angle in this case is zero (we won't worry about it)
w=2pi/T

The Attempt at a Solution



I have used the equations above ( which my teacher told me to use ) and i keep getting the wrong answer. my wrong answer came out to be 4.6 somthing...

can anyone help me find my mistake and get the real answer for this?
 
Last edited:
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Clearly 4.6 s is not correct, if the period is .28 s.

So what angular value does ωt when it passes -1.44 ?
 
thanks lowlypion for considering to help, actually i have solved this problem , what i was forgetting was to convert from degrees to radians. that's it :)
 
weskerq8 said:
thanks lowlypion for considering to help, actually i have solved this problem , what i was forgetting was to convert from degrees to radians. that's it :)

Unfortunately, that's a pretty easy thing to do on some calculators.

Good luck.
 

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