Degree 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 degrees per day [°/d] to radians per second [rad/s] or radians per second [rad/s] to degrees per day [°/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 degree per day [°/d] ≈ 2.02 * 10-7 radians per second [rad/s]1 radian per second [rad/s] ≈ 4,950,355.3499 degrees per day [°/d]

Convert degrees per day to radians per second

There are two simple ways to convert degrees per day [°/d] to radians per second [rad/s]. In the first calculation method, the value in degrees per day [°/d] is divided by the rounded conversion factor of 4,950,355.3499. The second method multiplies the value in degrees per day [°/d] by the rounded conversion factor of 2.02 * 10-7.

  • Radians per second [rad/s] ≈ degrees per day [°/d] ÷ 4,950,355.3499
  • Radians per second [rad/s] ≈ degrees per day [°/d] * 2.02 * 10-7

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

  • Radians per second [rad/s] = degrees per day [°/d] ÷ 15,552,000 * π

Convert radians per second to degrees per day

Converting radians per second [rad/s] to degrees per day [°/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 4,950,355.3499. The second variant is a division. Here, the value in radians per second [rad/s] is divided by the rounded conversion factor of 2.02 * 10-7.

  • Degrees per day [°/d] ≈ radians per second [rad/s] * 4,950,355.3499
  • Degrees per day [°/d] ≈ radians per second [rad/s] ÷ (2.02 * 10-7)

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 degrees per day [°/d] can be achieved using the following calculation method.

  • Degrees per day [°/d] = radians per second [rad/s] * 15,552,000 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 4,950,355.35
Radians per second = Degrees per day ÷ 15,552,000 * π
Degrees per day = Radians per second * 15,552,000 ÷ π

To all available units

Degrees per day

Revolutions per minute

Degrees per day

Revolutions per second

Degrees per day

Terahertz

Degrees per hour

Centihertz

Degrees per hour

Decahertz