Convert second to radian
Please provide values below to convert second ["] to radian [rad], or Convert radian to second.
1 " = 4.84813719895e-06 rad. To convert second to radian, multiply the value by 4.84813719895e-06; to go the other way, divide by it (1 rad = 206264.789746 "). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 " = 4.84813719895e-06 rad
- 1 rad = 206264.789746 "
- 10 " = 4.84813719895e-05 rad
- 100 " = 0.000484813719895 rad
How to Convert Second to Radian
1 " = 4.84813719895327e-06 rad
Example: convert 15 " to rad:
15 " = 15 × 4.84813719895327e-06 rad = 7.27220579842991e-05 rad
Second to Radian Conversion Table
| second | radian |
|---|---|
| 1 " | 4.84813719895e-06 rad |
| 2 " | 9.69627439791e-06 rad |
| 3 " | 1.45444115969e-05 rad |
| 5 " | 2.42406859948e-05 rad |
| 10 " | 4.84813719895e-05 rad |
| 20 " | 9.69627439791e-05 rad |
| 50 " | 0.000242406859948 rad |
| 100 " | 0.000484813719895 rad |
| 500 " | 0.00242406859948 rad |
| 1000 " | 0.00484813719895 rad |
Second
The second is a unit of time representing the duration of 9,192,631,770 periods of radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom.
History/Origin
The second was originally defined in 1956 based on Earth's rotation but was later redefined in 1967 based on the vibrations of the cesium-133 atom, making it a precise atomic time standard.
Current Use
The second is used universally in science, technology, and daily life to measure time intervals, coordinate universal time (UTC), and in various applications requiring precise timekeeping.
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Frequently Asked Questions
What is 1 second in radian?
1 second (") = 4.84813719895e-06 radian (rad).
How do you convert second to radian?
Multiply the second value by 4.84813719895e-06. For example, 25 " × 4.84813719895e-06 = 0.000121203429974 rad.
What is 10 second in radian?
10 " = 4.84813719895e-05 rad.
Which unit is larger, the second or the radian?
The radian is the larger unit: 1 " equals only 4.84813719895e-06 rad.