## Physics (10th Edition)

$\frac{\omega_A}{\omega_B}=0.87$
We know that $$a_c=r\omega^2$$ Because 2 cars have the same $a_c$, $$r_A\omega^2_A=r_B\omega^2_B$$ $$\frac{\omega_A}{\omega_B}=\sqrt{\frac{r_B}{r_A}}=\sqrt{\frac{36m}{48m}}=0.87$$