A body in simple harmonic motion has amplitude $0.1$ m and angular frequency $5$ rad s$^{-1}$. Find its maximum acceleration.
A$50$ m s$^{-2}$
B$0.5$ m s$^{-2}$
C$0.02$ m s$^{-2}$
D$2.5$ m s$^{-2}$CORRECT
JUPEBPhysicsCircular and Simple Harmonic Motion
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Why the answer is D, and why the others tempt you.
$a_{max} = \omega^2 A = 25 \times 0.1 = 2.5$ m s$^{-2}$, occurring at the extreme positions. Using $\omega A$ gives 0.5, which is the maximum speed.
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