A sound wave is given the following equation: y= 8 sin(512πt) where t= time in seconds. How

Question

A sound wave is given the following equation:

y= 8 sin(512πt) where t= time in seconds.

How many cycles will occur between t=2 and t=3.5 seconds?

in progress 0
Aubrey 1 week 2021-09-10T22:16:59+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T22:18:28+00:00

    Answer:

    384

    Step-by-step explanation:

    Standard equation of a sine wave is:

    y = A sin(2πf x + B) + C

    where A is the amplitude, f is the frequency, B is the phase shift, and C is the vertical offset.

    In this case:

    2πf = 512π

    f = 256

    This means there are 256 cycles per second.  The number of cycles between t = 2 and t = 3.5 is:

    (3.5 − 2) × 256

    384

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )