# Radians missing from NSolve result

Why does the result not include radians in the solution for a? This does not occur if I use meters instead of radians.

NSolve[{Quantity[11.2, ("Radians")/("Seconds")] == a t,
t == Quantity[2.92, "Seconds"], d == .5 a t^2}, {a, t, d}]


Result:

{{t -> Quantity[2.92, "Seconds"],
a -> Quantity[3.83562, 1/("Seconds")^2], d -> 16.352}}

• Simpler example: Solve[w == Quantity[11.2, ("Radians")/("Seconds")], w]. Of course one definition of radian measure is (arc length)/(radius), which is dimensionless. Oct 26 '16 at 2:29
• I see. What if I have a system of equations with radians and revolutions? Will Mathematica distinguish and convert between the two? Oct 26 '16 at 2:32
• It seems to: Solve[w == Quantity[11.2, ("Revolutions")/("Seconds")], w]. I only suggested it because I don't know for sure how Mathematica treats "Radians". But it looks like Solve converts revolutions to (unitless) radians. Oct 26 '16 at 2:37
• It looks like "Revolutions" is automatically multiplied by 2\[Pi] Oct 26 '16 at 2:43
• Yes, just so. It seems to happen automatically in Solve or NSolve. I don't know what you can do, if you do not want that to happen. Oct 26 '16 at 2:46