Waves
Period and Frequency
Period is inverse of frequency.
Variables
Ts
Period
Time for one cycle
Allowed values: greater than 0
fHz
Frequency
Cycles per second
In SI units: 1/s
Allowed values: greater than 0
Derivation
By definition.
Your notes
0/5000
Check value
Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- f = 2 Hz (Frequency)
Result: T = 0.5 s
Other waves formulas with the same quantities
- Spring Oscillation Period (Simple Harmonic Motion) shares Period
- Pendulum Period (Simple Harmonic Motion) shares Period
- Physical Pendulum Period (Simple Harmonic Motion) shares Period
- Torsional Oscillation Period (Simple Harmonic Motion) shares Period
Where this formula is listed
- Waves formulas, under Wave Properties, alongside Wave Number, Wave Intensity, Intensity-Amplitude Relation, Inverse Square Law (Intensity) and Wave Speed on String.
- In the waves list it comes after Wave Equation and before Angular Frequency.
- Waves formula sheet, one of 37 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Period and Frequency formula?
Period and Frequency is written T = 1/f. Period is inverse of frequency. It belongs to Waves, under Wave Properties.
What are the units in T = 1/f?
In SI units, T is period, measured in s; f is frequency, measured in 1/s.
How is the Period and Frequency formula derived?
By definition. The result is T = 1/f.