# Chapter 8 - Rotational Kinematics - Problems - Page 215: 46

$\frac{\omega_A}{\omega_B}=0.87$

#### Work Step by Step

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

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