Calculating linear velocity

Question

I have the question

Use the answer to question 1 to calculate the linear velocity of a point on the surface of the Earth (radius of Earth = $6.4 \times 10^6$ [m]).

So the answer for question 1 was $7.3 \times 10^{-5}$ [rads$^{-1}$].

Now using this is question 2 I know that the formula for linear velocity is $V = rw$.

So $V = 6.4 \times 10^6 m \times 7.3 \times 10^{-5} rads^{-1}$

Therefore V = 467.2 [radms$^{-1}$].

However, I do not know if the units for the final answer are correct.

Answer 1

Rad is essentially a dimensionless unit. So $\omega R$ has dimensions of velocity.