Answer
$\frac{\omega_A}{\omega_B}=0.87$
Work Step by Step
We know that $$a_c=r\omega^2$$
Because 2 cars have the same $a_c$, $$r_A\omega^2_A=r_B\omega^2_B$$ $$\frac{\omega_A}{\omega_B}=\sqrt{\frac{r_B}{r_A}}=\sqrt{\frac{36m}{48m}}=0.87$$
Physics (10th Edition)
by Young, David; Stadler, Shane
Published by
Wiley
ISBN 10:
1118486897
ISBN 13:
978-1-11848-689-4
Chapter 8 - Rotational Kinematics - Problems - Page 215: 46
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