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The formula to calculate Radians per Second (rad/s) from Gigahertz (GHz) is:
\[ \text{rad/s} = \text{GHz} \times 6283185306.8596 \]
Where:
Gigahertz (GHz) is a unit of frequency, representing one billion cycles per second. Radians per Second (rad/s) is a unit of angular velocity, representing the angle in radians through which a point or line has rotated in one second. The conversion from Gigahertz to Radians per Second is straightforward: multiply the frequency in Gigahertz by 6,283,185,306.8596[^1^].
Let's assume the following value:
Using the formula:
\[ \text{rad/s} = 5 \times 6283185306.8596 \]
\[ \text{rad/s} = 31415926534.298 \]
The Frequency (rad/s) is 31,415,926,534.298 rad/s.
| Frequency (GHz) | Frequency (rad/s) |
|---|---|
| 1 | 6,283,185,306.859600 |
| 2 | 12,566,370,613.719200 |
| 3 | 18,849,555,920.578800 |
| 4 | 25,132,741,227.438400 |
| 5 | 31,415,926,534.298000 |
| 6 | 37,699,111,841.157600 |
| 7 | 43,982,297,148.017197 |
| 8 | 50,265,482,454.876801 |
| 9 | 56,548,667,761.736404 |
| 10 | 62,831,853,068.596001 |