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

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) (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
RELATED QUESTIONS
Two stations, located at M(−1.5,0) and N(1.5,0)(units are in km), simultaneously send... (answered by CPhill)

Two stations, located at A (-1.5, 0) and B (1.5, 0) (units are in km), simultaneously... (answered by ikleyn)

Given 7 flags of different colors, how many different signals can be generated if a... (answered by ikleyn)

During an experiment, the intensity i(t) of the electric current of a device as a... (answered by jim_thompson5910)

The diagonal measure of a movie screen is 6 m. The length of the screen is 2 m greater... (answered by Alan3354)

Two cross-country skiers come to a fork on the road. They then split up one to each... (answered by ikleyn)

The parabolic arch in the concrete bridge in the figure must have a clearance of 50 feet (answered by ankor@dixie-net.com)

if w=9-4i then: 

if w = 9 - 4i then: 
                                          (answered by ewatrrr,Edwin McCravy)
During an experiment, the intensity i(t) of the electric current of a device as a... (answered by stanbon,jim_thompson5910)