**This physics time to frequency calculator that converts between time period and frequency. This conversion is crucial in physics, engineering, and signal processing. **

The calculator uses the **inverse relationship** between period and frequency, allowing quick transformations between these two **wave characteristics**.

Our **time period to frequency converter** helps us understand how often an event occurs (**frequency**) when we know the duration of one complete cycle (**period**), or vice versa. This tool is essential for anyone working with **waves**, **oscillations**, and **periodic phenomena**.

## Time to Frequency Calculator

Time Period (T) | Wave Frequency (f) | Angular Frequency (ω) in radians | Angular Frequency (ω) in degrees |
---|---|---|---|

1 second | 1 Hz | 6.28318 rad/s | 360°/s |

0.5 seconds | 2 Hz | 12.56637 rad/s | 720°/s |

0.1 seconds | 10 Hz | 62.83185 rad/s | 3600°/s |

2 seconds | 0.5 Hz | 3.14159 rad/s | 180°/s |

5 seconds | 0.2 Hz | 1.25664 rad/s | 72°/s |

0.01 seconds | 100 Hz | 628.31853 rad/s | 36000°/s |

3.14 seconds | 0.31847 Hz | 2.00063 rad/s | 114.64968°/s |

**Wave Frequency (f)**: Used the formula`f = 1 / T`

For example, when T = 1 second, f = 1 / 1 = 1 Hz**Angular Frequency (ω) in radians**: Used the formula`ω = 2π / T`

For example, when T = 1 second, ω = 2π / 1 ≈ 6.28318 rad/s**Angular Frequency (ω) in degrees**: Used the formula`ω = 360 / T`

For example, when T = 1 second, ω = 360 / 1 = 360°/s

Also See: – Thin Lens Equation Calculator – Zener Diode Calculator

## Period to Frequency Calculation Formula

The core principle behind the calculation frequency to period is the **reciprocal relationship** between period and frequency.

The formulas used are:

**Wave or Rotational Frequency:**`f = 1 / T`

Where:**f**is the**frequency**(typically measured in**Hertz**, Hz)**T**is the**time period**(usually measured in seconds)

**Angular Frequency:**`ω = 2 · π / T (in radians) ω = 360 / T (in degrees)`

Where:**ω**is the**angular frequency****π**is the mathematical constant**Pi**(approximately 3.14159)**T**is the**time period**

## How do you convert time constant to frequency?

Converting a **time constant** to **frequency** involves understanding their relationship and applying the appropriate formula.

While the **time constant** is not identical to the **period**, they are related, and we can use a similar approach for conversion.

To convert a time constant to frequency:

**Understand the time constant:**In many systems, particularly in**electrical engineering**and**signal processing**, the**time constant (τ)**represents the time for a system to reach about**63.2%**of its final value in response to a step input.**Relate time constant to period:**For many systems, the**period (T)**of oscillation relates to the**time constant (τ)**by:`T = 2π · τ`

**Apply the frequency formula:**Once you have the period, use the standard**frequency formula**:`f = 1 / T`

**Combine the steps:**Putting it all together:`f = 1 / (2π · τ)`

This formula allows direct conversion from **time constant** to **frequency**.

The exact relationship between time constant and frequency can vary by system or context. Some variations include:

- For
**RC circuits**: f = 1 / (2π · RC) - For
**RL circuits**: f = R / (2π · L)

Where **R** is **resistance**, **C** is **capacitance**, and **L** is **inductance**.