For the simple harmonic motion described by the trigonometric function,find the least positive value of t for which d = 0. ?? $d = \frac { 1 } { 64 } \sin 794 \pi t$ ?
A) $$64$$
B) $$\frac { 1 } { 794 }$$
C) $794$ ?
D) $\frac { 1 } { 64 }$ ?
E) $\frac { 1 } { 1,584 }$

Question

Quizplus · Accepted Answer

The displacement $d$ will be zero when the argument of the sine function is a multiple of $\pi$. The least positive value of $t$ that satisfies this condition for $d = \frac{1}{64} \sin 794\pi t$ is when $794\pi t = \pi$, which simplifies to $t = \frac{1}{794}$.

For the Simple Harmonic Motion Described by the Trigonometric Function,find d=164sin⁡794πtd = \frac { 1 } { 64 } \sin 794 \pi td=641​sin794πt

For the Simple Harmonic Motion Described by the Trigonometric Function,find $d = \frac { 1 } { 64 } \sin 794 \pi t$