Wave Period Calculator (T = 1/f)
Wave Period Calculator (T = 1/f)
The period of a wave is the time it takes to complete one full cycle, and it's simply the reciprocal of frequency (T = 1/f). This inverse relationship shows up constantly in physics and engineering - from AC electrical power (50/60 Hz mains has a period of 20/16.7 ms) to musical pitch and orbital mechanics. Enter either value and this calculator finds the other, with the full formula substitution shown.
- T = 1/f, so a wave with a frequency of 5 Hz has a period of 1/5 = 0.2 seconds per cycle.
- Frequency and period are reciprocals of each other - as one gets larger, the other gets smaller, and multiplying them together always gives exactly 1 (f × T = 1).
- This relationship applies to any periodic phenomenon, not just waves - a rotating wheel, a pendulum, or an alternating current signal all relate their cycle time and repetition rate the same way.
How do I convert frequency to period?
Take the reciprocal: T = 1/f. A 5 Hz wave has a period of 1/5 = 0.2 seconds.
How do I convert period to frequency?
Take the reciprocal: f = 1/T. A wave with a period of 0.02 seconds has a frequency of 1/0.02 = 50 Hz.
Wave Period Calculator (T = 1/f)
The period of a wave is the time it takes to complete one full cycle, and it's simply the reciprocal of frequency (T = 1/f). This inverse relationship shows up constantly in physics and engineering - from AC electrical power (50/60 Hz mains has a period of 20/16.7 ms) to musical pitch and orbital mechanics. Enter either value and this calculator finds the other, with the full formula substitution shown.
- T = 1/f, so a wave with a frequency of 5 Hz has a period of 1/5 = 0.2 seconds per cycle.
- Frequency and period are reciprocals of each other - as one gets larger, the other gets smaller, and multiplying them together always gives exactly 1 (f × T = 1).
- This relationship applies to any periodic phenomenon, not just waves - a rotating wheel, a pendulum, or an alternating current signal all relate their cycle time and repetition rate the same way.
How do I convert frequency to period?
Take the reciprocal: T = 1/f. A 5 Hz wave has a period of 1/5 = 0.2 seconds.
How do I convert period to frequency?
Take the reciprocal: f = 1/T. A wave with a period of 0.02 seconds has a frequency of 1/0.02 = 50 Hz.