Revolution per second to Radian per second Converter (and vice versa)

Created by: tinycalcs.com/en
Number of supported units: 2
Last update: 2026

This converter allows you to convert revolutions per second [1/s] to radians per second [rad/s] or radians per second [rad/s] to revolutions per second [1/s]. Calculations are performed in both directions. The calculation result and the entered value are displayed with up to 20 decimal places for maximum accuracy.

1 revolution per second [1/s] ≈ 6.2832 radians per second [rad/s]1 radian per second [rad/s] ≈ 0.1592 revolutions per second [1/s]

Convert revolutions per second to radians per second

There are two simple ways to convert revolutions per second [1/s] to radians per second [rad/s]. In the first calculation method, the value in revolutions per second [1/s] is divided by the rounded conversion factor of 0.1592. The second method multiplies the value in revolutions per second [1/s] by the rounded conversion factor of 6.2832.

  • Radians per second [rad/s] ≈ revolutions per second [1/s] ÷ 0.1592
  • Radians per second [rad/s] ≈ revolutions per second [1/s] * 6.2832

However, rounded conversion values are only suitable for rough conversions, as rounding errors can occur in the calculation result. The most accurate conversion of revolutions per second [1/s] to radians per second [rad/s] can be achieved using the following calculation method.

  • Radians per second [rad/s] = revolutions per second [1/s] * 2 * π

Convert radians per second to revolutions per second

Converting radians per second [rad/s] to revolutions per second [1/s] is easy and can be done in two ways. The first method involves multiplication, in which the value in radians per second [rad/s] is multiplied by the rounded conversion factor of 0.1592. The second variant is a division. Here, the value in radians per second [rad/s] is divided by the rounded conversion factor of 6.2832.

  • Revolutions per second [1/s] ≈ radians per second [rad/s] * 0.1592
  • Revolutions per second [1/s] ≈ radians per second [rad/s] ÷ 6.2832

However, rounded conversion values do not allow for exact calculations because rounding errors can occur in the calculation result. The most accurate conversion of radians per second [rad/s] to revolutions per second [1/s] can be achieved using the following calculation method.

  • Revolutions per second [1/s] = radians per second [rad/s] ÷ 2 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 6.283
Radians per second = Revolutions per second * 2 * π
Revolutions per second = Radians per second ÷ 2 ÷ π

To all available units

Revolutions per second

Revolutions per hour

Revolutions per second

Revolutions per minute

Revolutions per second

Terahertz

Centihertz

Decahertz

Centihertz

Decihertz