Simple Harmonic Motion Discrepancy

AI Thread Summary
The discussion centers on calculating the acceleration of a body in simple harmonic motion described by the equation x = 5 sin(πt + π/3) meters. The user initially finds the second derivative to determine acceleration but mistakenly uses degree mode on their calculator, leading to an incorrect result. Upon realizing the error, the user acknowledges that the correct calculation should be performed in radian mode. The correct acceleration at t = 1 second is approximately 3.6 m/s², aligning closely with the provided answer choices. The importance of using the correct calculator settings in physics problems is emphasized.
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Homework Statement



A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x = 5 sin(πt + π/3) meters. The acceleration in m/s2 of the body at t = 1 second is approximately


Homework Equations


The harmonic motion ones I guess.


The Attempt at a Solution



I don't think I have done anything wrong. Since acceleration is d2x/dt2, i found the second derivative of the equation given which is a=(-pi)^2)*(5)(sin(pi*t + (pi/3)). I plug in 1 for t and get approximately 3.6. If the answer was 3.5 and lower i would just round down, but I am not sure.

my answer choices are 3, 49, 14, 43 and 4.3.
 
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never mind, my calculator was in degree mode, not radian.
 

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