For the simple harmonic motion described by the trigonometric function, find the maximum displacement. $d = \frac { 1 } { 5 } \sin 6 \pi t$
A) 6
B) $\frac { 1 } { 5 }$
C) 12
D) $\frac { 1 } { 6 }$
E) 5

Question

For the simple harmonic motion described by the trigonometric function, find the maximum displacement. $d = \frac { 1 } { 5 } \sin 6 \pi t$ 
A) 6
B) $\frac { 1 } { 5 }$
C) 12
D) $\frac { 1 } { 6 }$
E) 5

Quizplus · Accepted Answer

The maximum displacement of a simple harmonic motion described by a trigonometric function is equal to the amplitude of the function. In this case, the amplitude is 1/5, so the maximum displacement is also 1/5. Therefore, the answer is choice B.

For the Simple Harmonic Motion Described by the Trigonometric Function d=15sin⁡6πtd = \frac { 1 } { 5 } \sin 6 \pi td=51​sin6πt

For the Simple Harmonic Motion Described by the Trigonometric Function $d = \frac { 1 } { 5 } \sin 6 \pi t$