Solve the problem.
-Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 7 units, with angular speed 2 radians per second.
A) $s ( t ) = \sin 7 t + 2$
B) $s ( t ) = 7 \cos 2 t$
C) $s ( t ) = 7 \sin 2 t$
D) $s ( t ) = 2 \sin 7 t$

Question

Quizplus · Accepted Answer

The equation for simple harmonic motion (SHM) of a particle moving uniformly around a circle can be represented as $s(t) = A \sin(\omega t + \phi)$ or $s(t) = A \cos(\omega t + \phi)$, where $A$ is the amplitude (radius of the circle), $\omega$ is the angular speed, $t$ is time, and $\phi$ is the phase angle. Given a radius of 7 units and an angular speed of 2 radians per second, the equation without a phase shift ($\phi = 0$) is $s(t) = 7 \sin(2t)$, matching choice C.

Solve the Problem s(t)=sin⁡7t+2s ( t ) = \sin 7 t + 2s(t)=sin7t+2

Solve the Problem $s ( t ) = \sin 7 t + 2$