Convert radian to second
radian
Definition: A radian (symbol: rad) is the standard unit of angular measure. It is a derived unit (meaning that it is a unit that is derived from one of the seven SI base units) in the International System of Units. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. One radian is equal to 180/π (~57.296) degrees.
History/origin: Measuring angles in terms of arc length has been used by mathematicians since as early as the year 1400. The concept of the radian specifically however, is credited to Roger Cotes who described the measure in 1714. Although he described the unit, Cotes did not name the radian, and it was not until 1873 that the term "radian" first appeared in print.
Current use: The radian is widely used throughout mathematics as well as in many branches of physics that involve angular measurements. Although the symbol "rad" is the accepted SI symbol, in practice, radians are often written without the symbol since a radian is a ratio of two lengths and is therefore, a dimensionless quantity. As such, when angle measures are written, the lack of a symbol implies that the measurement is in radians, while a ° symbol would be added if the measurement were in degrees.
second
Definition: Second is a measure of plane angle or rotation. For conversion purposes, its value is 0.0002777778 times the reference unit, degree.
radian to second Conversion Table
| radian [rad] | second ["] |
|---|---|
| 0.01 radian | 2063 second |
| 0.10 radian | 20626 second |
| 1 radian | 206265 second |
| 2 radian | 412530 second |
| 3 radian | 618794 second |
| 5 radian | 1031324 second |
| 10 radian | 2062648 second |
| 20 radian | 4125296 second |
| 50 radian | 10313239 second |
| 100 radian | 20626479 second |
| 1000 radian | 206264790 second |
How to Convert radian to second
1 radian = 206265 second
1 second = 0.000005 radian
Example
Convert 15 radian to second:
15 radian = 15 × 206265 second = 3093972 second
