radian per second [rad/s] to degree per second [deg/s] Converter
rad/s
deg/s
How to Convert radian per second to degree per seconddegree per second
1 rad/s = 57.29577951308232 deg/s
1 deg/s = 0.017453292519943295 rad/s
Example: convert 67 rad/s to deg/s:
67 rad/s = 67 x 57.29577951308232 = 3838.817227376516 deg/s
radian per second
Definition: Radians per second (rad/s) is the SI unit of angular speed or angular velocity. It represents the rate of change of an angle in radians over time, specifically the number of radians rotated in one second.
History/origin: The radian as a unit of angle measurement is fundamental in mathematics and physics. Defining angular speed in radians per second is essential for consistency with other SI units and simplifies many equations in rotational dynamics.
Current use: Radians per second is widely used in physics, engineering, and mathematics for describing rotational motion. It's essential in calculations involving torque, angular momentum, and rotational kinetic energy. It appears in fields such as mechanics, electrical engineering (e.g., analyzing AC circuits), and signal processing (e.g., representing signal frequencies).
degree per second
Definition: Degrees per second (deg/s) is a unit of angular speed. It represents the rate of change of an angle in degrees over time, specifically the number of degrees rotated in one second.
History/origin: The degree as a unit of angle measurement dates back to ancient civilizations. The need to measure angular speed in engineering and physics led to the use of 'degrees per second' as a practical unit.
Current use: Degrees per second is used in various applications including robotics (measuring the speed of joint rotations), aviation (measuring the rate of turn of an aircraft), gaming (controlling the sensitivity of mouse or joystick movements), and navigation systems. It's a common unit for describing angular velocity in dynamic systems.
radian per second to degree per second Conversion Table
radian per second [rad/s] | degree per second [deg/s] |
---|---|
0.01 rad/s | 0.5729577951308232 deg/s |
0.1 rad/s | 5.729577951308232 deg/s |
1 rad/s | 57.29577951308232 deg/s |
10 rad/s | 572.9577951308232 deg/s |
50 rad/s | 2864.7889756541163 deg/s |
100 rad/s | 5729.5779513082325 deg/s |
1000 rad/s | 57295.77951308232 deg/s |
10000 rad/s | 572957.7951308233 deg/s |
Common pairs of Frequency