Simple Harmonic Motion and time calculation

AI Thread Summary
An object in simple harmonic motion with a period of 0.280 seconds and an amplitude of 5.95 cm is analyzed for its time to move from x=5.95 cm to x=-1.44 cm. The equations used include X=A.cos(wt) and w=2π/T, but the initial calculations yielded an incorrect time of 4.6 seconds. The error was identified as a failure to convert degrees to radians, which is crucial for accurate calculations. After correcting this mistake, the problem was successfully solved. Proper unit conversion is essential in physics calculations to avoid such errors.
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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?
 
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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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