Revolution per day 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 day [1/d] to radians per second [rad/s] or radians per second [rad/s] to revolutions per day [1/d]. 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 day [1/d] ≈ 7.272 * 10-5 radians per second [rad/s]1 radian per second [rad/s] ≈ 13,750.9871 revolutions per day [1/d]

Convert revolutions per day to radians per second

There are two simple ways to convert revolutions per day [1/d] to radians per second [rad/s]. In the first calculation method, the value in revolutions per day [1/d] is divided by the rounded conversion factor of 13,750.9871. The second method multiplies the value in revolutions per day [1/d] by the rounded conversion factor of 7.272 * 10-5.

  • Radians per second [rad/s] ≈ revolutions per day [1/d] ÷ 13,750.9871
  • Radians per second [rad/s] ≈ revolutions per day [1/d] * 7.272 * 10-5

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 day [1/d] to radians per second [rad/s] can be achieved using the following calculation method.

  • Radians per second [rad/s] = revolutions per day [1/d] ÷ 43,200 * π

Convert radians per second to revolutions per day

Converting radians per second [rad/s] to revolutions per day [1/d] 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 13,750.9871. The second variant is a division. Here, the value in radians per second [rad/s] is divided by the rounded conversion factor of 7.272 * 10-5.

  • Revolutions per day [1/d] ≈ radians per second [rad/s] * 13,750.9871
  • Revolutions per day [1/d] ≈ radians per second [rad/s] ÷ (7.272 * 10-5)

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 day [1/d] can be achieved using the following calculation method.

  • Revolutions per day [1/d] = radians per second [rad/s] * 43,200 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 13,750.987
Radians per second = Revolutions per day ÷ 43,200 * π
Revolutions per day = Radians per second * 43,200 ÷ π

To all available units

Revolutions per day

Revolutions per minute

Revolutions per day

Revolutions per second

Revolutions per day

Terahertz

Revolutions per hour

Centihertz

Revolutions per hour

Decahertz