Revolution per Second (r/s)

What is Revolution per Second (r/s)

Revolution per second (r/s) is a unit of angular speed that measures how many complete revolutions an object makes in one second. This measurement is fundamental in various fields, including physics, engineering, and robotics, where it is crucial to understand the rotational movement of objects.

In simple terms, if an object completes one full circle in one second, it is said to have an angular speed of 1 r/s. This unit provides a clear and direct way to express the speed of rotating entities, such as wheels, planets, or any object undergoing circular motion. Since one revolution corresponds to a 2π radians, the relation between revolutions and radians can also be used to convert between different types of angular measurements.

Common conversion values

Understanding revolution per second is often accompanied by a need to convert it into other commonly used angular speed units. Here are some essential conversion factors from r/s to various time-based units:

• 1 (r/s) = 604800 (r/wk)
  In one week, there are 604800 revolutions if an object spins at 1 r/s.

• 1 (r/s) = 86400 (r/d)
  In a day, a spinning object covers 86400 revolutions at this speed.

• 1 (r/s) = 3600 (r/h)
  For an hour, the count of revolutions would be 3600 at 1 r/s.

• 1 (r/s) = 60 (r/min)
  At this rate, within a minute, there are 60 revolutions.

In terms of radians:

• 1 (r/s) = 3800070 (rad/wk)
  The angular speed translates to 3800070 radians in a week.

• 1 (r/s) = 542867.2 (rad/d)
  This equals 542867.2 radians in one day.

• 1 (r/s) = 22619.47 (rad/h)
  Each hour, the object covers 22619.47 radians.

• 1 (r/s) = 376.9911 (rad/min)
  During a minute, it would traverse 376.9911 radians.

• 1 (r/s) = 6.283185 (rad/s)
  At this rate, it completes an angular distance of 6.283185 radians per second.

For degrees:

• 1 (r/s) = 217728000 (°/wk)
  This is equivalent to 217728000 degrees in a week.

• 1 (r/s) = 31104000 (°/d)
  The angular distance in one day becomes 31104000 degrees.

• 1 (r/s) = 1296000 (°/h)
  For one hour, the total degrees would be 1296000.

• 1 (r/s) = 21600 (°/min)
  A minute's worth of spinning amounts to 21600 degrees.

• 1 (r/s) = 360 (°/s)
  In one second, the object covers a full 360 degrees at 1 r/s.