Convert Hertz (rotational) to Radians per second
Instantly convert Hertz (rotational) (Hz) to Radians per second (rad/s) with our free online calculator.
Formula: Hz to rad/s — multiply by 6.28319
Reference Table
| Hertz (rotational) (Hz) | Radians per second (rad/s) |
|---|---|
| 1 | 6.28319 |
| 5 | 31.4159 |
| 10 | 62.8319 |
| 25 | 157.08 |
| 50 | 314.159 |
| 100 | 628.319 |
How to Convert Hertz (rotational) to Radians per second
Formula
To convert Hertz (rotational) (Hz) to Radians per second (rad/s): multiply by 6.28319
Step-by-Step
- Start with your value in Hertz (rotational) (Hz).
- Multiply by 6.28319 to perform the conversion.
- The result is your value expressed in Radians per second (rad/s).
Conversion Factor
1 Hz = 6.28319 rad/s
Reverse Factor
1 rad/s = 0.159155 Hz
Worked Example
Convert 25 Hertz (rotational) to Radians per second: 25 Hz = 157.08 rad/s
About Hertz (rotational) (Hz)
Rotational frequency in cycles per second; equivalent to rev/s
About Radian per second (rad/s)
The SI unit of angular velocity; one radian of rotation per second
Quick Facts
- 1 Hertz (rotational) equals 6.28319 Radians per second
- 1 Radian per second equals 0.159155 Hertz (rotational)
- Hertz (rotational) is a unit of angular velocity
- Radian per second is a unit of angular velocity
- This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
- The Hertz (rotational) belongs to the metric system
Common Hertz (rotational) to Radian per second Conversions
| Hertz (rotational) (Hz) | Radians per second (rad/s) |
|---|---|
| 0.01 | 0.0628319 |
| 0.1 | 0.628319 |
| 0.25 | 1.5708 |
| 0.5 | 3.14159 |
| 1 | 6.28319 |
| 2 | 12.5664 |
| 3 | 18.8496 |
| 5 | 31.4159 |
| 10 | 62.8319 |
| 15 | 94.2478 |
| 20 | 125.664 |
| 25 | 157.08 |
| 50 | 314.159 |
| 75 | 471.239 |
| 100 | 628.319 |
| 250 | 1570.8 |
| 500 | 3141.59 |
| 1000 | 6283.19 |
| 5000 | 31415.9 |
| 10000 | 62831.9 |
Understanding Hertz (rotational)
The Hertz (rotational) (symbol: Hz) is a unit of angular velocity. Rotational frequency in cycles per second; equivalent to rev/s
It belongs to the metric measurement system.
Hertz (rotational) are commonly used in motor specifications, rotating machinery, and mechanical design.
Understanding Radians per second
The Radian per second (symbol: rad/s) is a unit of angular velocity. The SI unit of angular velocity; one radian of rotation per second
Radians per second are commonly used in motor specifications, rotating machinery, and mechanical design.
Why Convert Hertz (rotational) to Radians per second?
Converting between Hertz (rotational) and Radians per second is a frequent requirement for engineers, scientists, and students working with angular velocity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular velocity conversion is essential.
Frequently Asked Questions
How do I convert Hertz (rotational) to Radians per second?
To convert Hertz (rotational) to Radians per second, multiply by 6.28319. For example, 25 Hz equals 157.08 rad/s.
How many Radians per second are in 1 Hertz (rotational)?
There are 6.28319 Radians per second in 1 Hertz (rotational).
How many Hertz (rotational) are in 1 Radian per second?
There are 0.159155 Hertz (rotational) in 1 Radian per second.
What is the formula for Hertz (rotational) to Radian per second conversion?
The formula is: multiply by 6.28319. This means 1 Hz = 6.28319 rad/s.
Is a Hertz (rotational) bigger than a Radian per second?
No. One Hertz (rotational) is smaller than one Radian per second because 1 Hz equals 6.28319 rad/s, which is greater than 1.