In uniform circular motion, the angular speed $\omega$ is defined as the angle covered per unit time. For a complete revolution (angle $2\pi$), if the time taken is the time period $T$, then the angular speed is given by $\omega = \frac{2\pi}{T}$ .

Given that both cars complete the circle in the same duration of time $t$, their time periods are equal ($T_1 = T_2 = t$). Therefore, their angular speeds are: $\omega_1 = \frac{2\pi}{t}$ $\omega_2 = \frac{2\pi}{t}$

The ratio is $\omega_1 : \omega_2 = 1 : 1$. The angular speed is independent of the mass and radius when the time period is fixed.