Determine the equation of the graph.
-Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 8 units, with angular speed 3 radians per second.
A) $s ( t ) = 8 \sin 3 t$
B) $s ( t ) = \sin 8 t + 3$
C) $s ( t ) = 3 \sin 8 t$
D) $s ( t ) = 8 \cos 3 t$

Question

Quizplus · Accepted Answer

The equation for simple harmonic motion is $s(t) = A \sin(\omega t)$ or $s(t) = A \cos(\omega t)$, where $A$ is the amplitude (radius) and $\omega$ is the angular speed. Here, $A = 8$ and $\omega = 3$, so the equation is $s(t) = 8 \sin 3t$.

Determine the Equation of the Graph s(t)=8sin⁡3ts ( t ) = 8 \sin 3 ts(t)=8sin3t

Determine the Equation of the Graph $s ( t ) = 8 \sin 3 t$