SOLUTION: The following oscilloscope screen displays the signal generated by the sound of a tuning fork dur- ing a time span of 5 milliseconds. The following figure shown on the green

Algebra ->  Trigonometry-basics -> SOLUTION: The following oscilloscope screen displays the signal generated by the sound of a tuning fork dur- ing a time span of 5 milliseconds. The following figure shown on the green      Log On


   



Question 1139457: The following oscilloscope screen
displays the signal generated by the sound of a tuning fork dur-
ing a time span of 5 milliseconds.

The following figure shown on the green graph:

https://i.imgur.com/hBff8uL.png

An equation is to be written in the the form of V = a sin bt that models the
signal, where V is in volts and t is in milliseconds. What is the frequency of the sound wave that produced the signal shown above? Answer may be stated in cycles per millisecond.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
my equation is:

y = 2.5 * sin(144 *x).

my graph is shown below.

$$$

the amplitude id equal to 2.5

that was pretty straight forward.

the frequency used the basic formula of:

frequency = 360 / period.

period = 360 / frequency.

that's when you're dealing in degrees, which i was.

i wanted to find the frequency when the period for one cycle was 2.5 milliseconds.

that's because the picture you had showed two full cycles in 5 milliseconds.

the formula became frequency = 360 / 2.5 which became frequency = 144.

the graph was sized to show 2 full cycles from x = 0 to x = 5.

the center line of the graph was y = 0.

the range of the equation was y = -2.5 to y = 2.5.

the domain of the equation was x = 0 to x = 5.

i shaded the region of the graph that showed x <= - and x >= 5, so that the focus was from x = 0 to x = 5.

y represented the voltage and x represented the milliseconds.

i could be wrong, but i think the frequency of the sound wave was 2 cycles / 5 milliseconds which resulted in .4 cycles per millisecond.

since there are 1000 milliseconds in a second, that would translate to 400 cycles per second.


this would be the normal way to show the frequency of sound waves, but you wanted cycles per millisecond, so i believe your solution is .4 cycles per millisecond.

here's the picture you referenced.

https://i.imgur.com/hBff8uL.png