Warp Speed Calculator
Convert Star Trek warp factor to speed in multiples of light speed and miles per hour using TNG and original series formulas.
Star Trek Warp Speed (TNG Scale)
In Star Trek: The Next Generation, warp factors below 10 follow a power-law curve rather than a simple multiple of light speed. This calculator converts a warp factor to speed as a multiple of c and to miles per hour using that TNG formula.
Formula (warp below 10)
$$v = w^{10/3} \times c$$Here \(w\) is the warp factor and \(c \approx 2.998 \times 10^8\,\mathrm{m/s}\) is the speed of light. At warp 1, speed equals c. At warp 9, speed is roughly \(9^{10/3} \approx 5814\) times light speed.
Examples
Warp 5 gives \(5^{10/3} \approx 214c\), far faster than the older series rule where warp n meant \(n \times c\). Above warp 9.9999 the TNG scale approaches infinite speed in the fictional drive model.
Related tools: Age on Other Planets Calculator and Antipode Calculator.
Frequently Asked Questions
What formula does this calculator use?
It uses the TNG warp scale for factors below 10: v = w^(10/3) x c. This differs from the Original Series rule where warp n meant n times light speed.
How fast is warp 1?
On the TNG scale, warp 1 equals exactly one times the speed of light, about 299,792,458 m/s or roughly 670.6 million mph.
Why is there a different scale above warp 10?
In later Star Trek lore, high warp factors use different curves and asymptotic behavior. This tool covers the standard TNG sub-10 formula only.
Is warp travel physically possible?
Warp drive is fictional. It assumes exotic physics such as warping spacetime. This calculator is for fun and franchise lore comparisons, not engineering design.
How do I convert m/s to mph?
Multiply meters per second by about 2.237 to get miles per hour. Our tool shows both the c-multiple and mph automatically.