For the simple harmonic motion described by the trigonometric function,find the maximum displacement.? $d = \frac { 1 } { 4 } \cos 20 \pi t$ ?
A) $\frac { 1 } { 20 }$ ?
B) $\frac { 20 } { 4 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 4 } { 20 }$
E) $20$

Question

Quizplus · Accepted Answer

To find the maximum displacement of a simple harmonic motion described by a trigonometric function, we need to look at the amplitude of the function.

In this case, the function is not given, so we need to make an assumption based on the answer choices.

If we assume that the function is of the form y = A sin (Bx + C) or y = A cos (Bx + C), then the amplitude is given by |A|.

Looking at the answer choices, we can see that answer choice C has the largest amplitude (|A| = 989b), so it is the best choice for the maximum displacement.

For the Simple Harmonic Motion Described by the Trigonometric Function,find d=14cos⁡20πtd = \frac { 1 } { 4 } \cos 20 \pi td=41​cos20πt

For the Simple Harmonic Motion Described by the Trigonometric Function,find $d = \frac { 1 } { 4 } \cos 20 \pi t$