Converting from Degree per Day (°/d) to Radian per Second (rad/s) in Angular speed

What is Degree per Day (°/d)

Degree per day (°/d) is a unit of angular speed that measures the rate of change of an angle in degrees over a period of one day. It is commonly used in astronomical and celestial navigation calculations.

What is Radian per Second (rad/s)

Radian per second (rad/s) is a unit of angular speed that measures the rate of change of an angle in radians per second. It is a standard unit used in physics and engineering to describe rotational speed.

Conversion Formulas

To convert from degrees per day (°/d) to radians per second (rad/s), you can use the following conversion formulas:

Radians per Second (rad/s)=Degrees per Day (°/d)×0.0000002020057

Degrees per Day (°/d)=Radians per Second (rad/s)×4950355

Examples

1. Converting 14 °/d to rad/s:

14°/d=14×0.0000002020057rad/s=0.00000282808rad/s

2. Converting 4 rad/s to °/d:

4rad/s=4×4950355°/d=19801420°/d

3. Converting 10 °/d to rad/s:

10°/d=10×0.0000002020057rad/s=0.000002020057rad/s

Conclusion

Use this guide to easily convert between degree per day (°/d) and radian per second (rad/s) when dealing with angular speed calculations.