Merry-go-round

FOR A RIGID BODY SYSTEM W REMAINS SAME AND V=WR.CENTRIPITAL ACCELERATION=W^2*R

Amy and Lynn undergo the same angular displacement $\Delta\theta$ during a given time interval $\Delta t$ , so their angular velocities $\omega = \frac{d\theta}{dt}$ must also be equal.

However, since their distance from the center are different, that is, $r_A > r_L$ , then their linear velocities, which is given by $v = r\cdot{\omega}$ are also different, that is, $v_A > v_L$ . Which means that, their radial acceleration $a_{rad} = \frac{v^2}{r}$ are also different, with $a_{rad, A} > a_{rad, L}$ .