4 Ways To Calculate Frequency

In this formula, f represents frequency, V represents the velocity of the wave, and λ represents the wavelength of the wave. Example: A certain sound wave traveling in the air has a wavelength of 322 nm when the velocity of sound is 320 m/s. What is the frequency of this sound wave?

Note that when working with extremely small numbers or extremely large numbers, it is generally easier to write the values in scientific notation. The values will be shown in and out of their scientific notation forms for this example, but when writing your answer for homework, other schoolwork, or other formal forums, you should stick with scientific notation. Example: λ = 322 nm 322 nm x (1 m / 10^9 nm) = 3. 22 x 10^-7 m = 0. 000000322 m

Example: f = V / λ = 320 / 0. 000000322 = 993788819. 88 = 9. 94 x 10^8

Example: The frequency of this wave is 9. 94 x 10^8 Hz.

In this formula, f represents frequency, C represents the velocity or speed of light, and λ represents the wavelength of the wave. Example: A particular wave of electromagnetic radiation has a wavelength of 573 nm when passing through a vacuum. What is the frequency of this electromagnetic wave?

Note that when working with extremely small numbers or extremely large numbers, it is generally easier to write the values in scientific notation. The values will be shown in and out of their scientific notation forms for this example, but when writing your answer for homework, other schoolwork, or other formal forums, you should stick with scientific notation. Example: λ = 573 nm 573 nm x (1 m / 10^9 nm) = 5. 73 x 10^-7 m = 0. 000000573

Example: f = C / λ = 3. 00 x 10^8 / 5. 73 x 10^-7 = 5. 24 x 10^14

Example: The frequency of this wave is 5. 24 x 10^14 Hz.

In this formula, f represents frequency and T represents the time period or amount of time required to complete a single wave oscillation. Example A: The time for a certain wave to complete a single oscillation is 0. 32 seconds. What is the frequency of this wave? Example B: In 0. 57 seconds, a certain wave can complete 15 oscillations. What is the frequency of this wave?

Example A: f = 1 / T = 1 / 0. 32 = 3. 125 Example B: f = 1 / T = 15 / 0. 57 = 26. 316

Example A: The frequency of this wave is 3. 125 Hz. Example B: The frequency of this wave is 26. 316 Hz.

In this formula, f represents the frequency of the wave and ω represents the angular frequency. As with any mathematical problem, π stands for pi, a mathematical constant. Example: A particular wave rotates with an angular frequency of 7. 17 radians per second. What is the frequency of that wave?

Example: 2 * π = 2 * 3. 14 = 6. 28

Example: f = ω / (2π) = 7. 17 / (2 * 3. 14) = 7. 17 / 6. 28 = 1. 14

Example: The frequency of this wave is 1. 14 Hz.