degree per second [deg/s] to radian per second [rad/s] Converter
deg/s
rad/s
How to Convert degree per second to radian per secondradian per second
1 deg/s = 0.017453292519943295 rad/s
1 rad/s = 57.29577951308232 deg/s
Example: convert 82 deg/s to rad/s:
82 deg/s = 82 x 0.017453292519943295 = 1.4311699866353502 rad/s
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
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 to radian per second Conversion Table
degree per second [deg/s] | radian per second [rad/s] |
---|---|
0.01 deg/s | 0.00017453292519943296 rad/s |
0.1 deg/s | 0.0017453292519943294 rad/s |
1 deg/s | 0.017453292519943295 rad/s |
10 deg/s | 0.17453292519943295 rad/s |
50 deg/s | 0.8726646259971648 rad/s |
100 deg/s | 1.7453292519943295 rad/s |
1000 deg/s | 17.453292519943293 rad/s |
10000 deg/s | 174.53292519943295 rad/s |
Common pairs of Frequency