Converting from Radian per Hour (rad/h) to Revolution per Day (r/d) in Angular Speed

What is Radian per Hour (rad/h)

Radian per Hour (rad/h) is a unit of angular speed measurement, representing the rate of change of angle in radians per hour. It is commonly used in various fields such as physics, engineering, and astronomy to quantify rotational speed.

What is Revolution per Day (r/d)

Revolution per Day (r/d) is another unit of angular speed, denoting the number of complete revolutions that occur in one day. This unit is useful for measuring rotational speed on a daily basis and is relevant in applications like timekeeping and machinery operation.

Conversion Formulas

• To convert from Radian per Hour (rad/h) to Revolution per Day (r/d), you can use the formula:

Revolutions per Day (r/d)=3.819719Radians per Hour (rad/h)​

• Similarly, to convert from Revolution per Day (r/d) to Radian per Hour (rad/h), use the formula:

Radians per Hour (rad/h)=Revolutions per Day (r/d)×3.819719

Examples

1. Converting 13 (rad/h) to Revolution per Day (r/d):

13×3.8197191​≈49.65634 r/d

2. Converting 6 (r/d) to Radian per Hour (rad/h):

6×3.819719≈22.91831 rad/h

3. Converting 17 (rad/h) to Revolution per Day (r/d):

17×3.8197191​≈64.93522 r/d

4. Converting 13 (r/d) to Radian per Hour (rad/h):

13×3.819719≈49.65634 rad/h

By understanding and applying these conversion formulas, you can easily switch between Radian per Hour and Revolution per Day measurements in angular speed calculations.