Convert Cycle per Second to Radian per Second
Instantly convert Cycle per Second to Radian per Second with our advanced Frequency calculator. Whether you need precise calculations for Cycle per Second or Radian per Second, this tool provides accurate results with related formulas and conversion tables.
What is a Cycle per Second?
The Cycle per Second (cps) is an older name for the Hertz.
What is a Radian per Second?
The Radian per Second (rad/s) is the SI derived unit of angular velocity.
How to Convert Cycle per Second to Radian per Second
To convert Cycle per Second to Radian per Second, multiply the Cycle per Second value by 6.28319.
rad/s = cps × 6.28319Manual Calculation Steps
Step 1: Identify the Formula
The standard formula to convert from Cycle per Second to Radian per Second is:
rad/s = cps × 6.28319Step 2: Plug in the Value
Substitute the value you want to convert (for example, 5 cps) into the formula.
Step 3: Calculate the Result
Perform the calculation to get the result in Radian per Second.
Cycle per Second to Radian per Second Conversion Table
| Cycle per Second (cps) | Radian per Second (rad/s) |
|---|---|
| 1 | 6.28319 rad/s |
| 5 | 31.4159 rad/s |
| 10 | 62.8319 rad/s |
| 25 | 157.08 rad/s |
| 50 | 314.159 rad/s |
| 100 | 628.319 rad/s |
| 500 | 3141.59 rad/s |
| 1000 | 6283.19 rad/s |
Frequently Asked Questions
How many Radian per Second are in a Cycle per Second?
There are 6.28319 Radian per Second in 1 Cycle per Second.
What is the difference between Cycle per Second and Radian per Second?
Cycle per Second and Radian per Second are both units used to measure frequency. The Cycle per Second is larger than the Radian per Second.
How do I convert Cycle per Second to Radian per Second?
To convert Cycle per Second to Radian per Second, multiply the Cycle per Second value by 6.28319. For example, to find out how many Radian per Second there are in a specific number of Cycle per Second, simply apply this formula.
What are the common uses of Cycle per Second and Radian per Second?
Cycle per Second and Radian per Second are commonly used in frequency measurements. Cycle per Second is often used for smaller scale measurements relative to Radian per Second.