Question

Can someone please help me?!?

Write an equation for the sine wave. What is the amplitude and period?
Now, you are going to determine the frequency of the tone you created.
Frequency=1/period


Part2
Finally, do some research on different frequencies. Pick 3 different sounds and determine their frequency. Compare and contrast those sounds to the frequency of your tone. What conclusions can you make about frequency?

Answer 1

See the explanation.

Explanation:

Part 1:

An equation of sine wave can be written as y = 5 Sin(2x + 3).

The amplitude of the above equation is 5.

The period of the function is
`(2\pi )/(2) = \pi`.

The frequency of the function is
`(1)/(\pi )`.

Part 2:

`y = 2 Sin(3x + 5) + 9.......(1)\\y = 5 Sin(4x + 8) + 12.....(2)\\y = 3 Sin(x + 6) + 2......(3)`

The above given equations numbered 1, 2 and 3 represents three different sound waves.

For (1), the frequency is
`(1)/((2\pi )/(3) ) = (3)/(2\pi )`.

For (2), the frequency is
`(4)/(2\pi ) = (2)/(\pi )`.

For (3), the frequency is
`(1)/(2\pi )`.

Frequency of sounds refers the speed of vibration.

The taken three siounds has different frequencies.