Simple Harmonic Motion Discrepancy

[wesDOT]

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.

 

[wesDOT]

never mind, my calculator was in degree mode, not radian.

 

[nlightner]

I would first confirm that your calculation is correct by checking your work and using a calculator to verify the solution. If the calculation is correct, I would then analyze the discrepancy between your answer and the given answer choices. It is possible that the given answer choices are rounded or approximated, which could explain the discrepancy. Another possibility is that there is an error in the given equation or in the question itself. I would also consider the units of the given answer choices and make sure they match the units of acceleration (m/s2). If none of these explanations seem to account for the discrepancy, I would consult with a colleague or instructor to discuss the issue further and try to find a resolution.