calculate the frequncy of a note on the piano which has a period of .002 seconds?

Answer 1

f= 1 / T

if it's the radial frequency is f = 2 * PI() / T

so f = 1/ 0.002

Answer 2

Ok. Well the period of something is the amount of time it takes for a complete note to be played. In this case it is .002. The frequency is the number of notes per second. So you need to multiply that number by another number to get 1. And that's the frequency.

In the future, another helpful hint is that the period and the frequency are INVERSES of each other.

Answer 3

Hope this helps

Equations for the Frequency Table

The basic formula for the frequencies of the notes of the equal tempered scale is given by
fn = f0 * (a)n
where
f0 = the frequency of one fixed note which must be defined. A common choice is setting the A above middle C (A4) at f0 = 440 Hz.
n = the number of half steps away from the fixed note you are. If you are at a higher note, n is positive. If you are on a lower note, n is negative.
fn = the frequency of the note n half steps away.
a = (2)1/12 = the twelth root of 2 = the number which when multiplied by itself 12 times equals 2 = 1.059463094359...

The wavelength of the sound for the notes is found from
Wn = c/fn
where W is the wavelength and c is the speed of sound. The speed of sound depends on temperature, but is approximately 345 m/s at "room temperature."


Examples using A4 = 440 Hz:

C5 = the C an octave above middle C. This is 3 half steps above A4 and so the frequency is
f3 = 440 * (1.059463..)3 = 523.3 Hz
If your calculator does not have the ability to raise to powers, then use the fact that
(1.059463..)3 = (1.059463..)*(1.059463..)*(1.059463..)
That is, you multiply it by itself 3 times.

Middle C is 9 half steps below A4 and the frequency is:
f -9 = 440 * (1.05463..)-9 = 261.6 Hz
If you don't have powers on your calculator, remember that the negative sign on the power means you divide instead of multiply. For this example, you divide by (1.05463..) 9 times.

Answer 4

Well, you work it out according to the formula f = 1/T, where f is the frequency and T is the period. The answer will be in Herz (Hz), which is cycles per second.

Answer 5

Frequency is the inverse of period. Take the reciprocal of period to find your answer in hertz.