Converting from Revolution per Day (r/d) to Radian per Second (rad/s)

What is Revolution per Day (r/d)

Revolution per day (r/d) is a unit of angular speed that measures the number of complete rotations an object makes in one day. It is commonly used in astronomical calculations and engineering applications.

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 commonly used in physics, mathematics, and engineering to describe rotational motion.

Conversion Formulas

To convert from revolution per day (r/d) to radian per second (rad/s), you can use the following formula:

rad/s=r/d×0.00007272205

To convert from radian per second (rad/s) to revolution per day (r/d), you can use the following formula:

r/d=rad/s×13750.99

Examples

1. Convert 3 r/d to rad/s:

3 r/d×0.00007272205=0.0002181662 rad/s

2. Convert 10 rad/s to r/d:

10 rad/s×13750.99=137509.9 r/d

Conclusion:

Use these conversion formulas to easily convert between revolution per day (r/d) and radian per second (rad/s) for your calculations.