Answer
(a) $a_R = 2.57~m/s^2$ (directed straight up toward the center of the circle)
(b) $a_R = 2.57~m/s^2$ (directed straight down toward the center of the circle)
(c) It takes 14.7 seconds to make one revolution.
Work Step by Step
(a) $a_R = \frac{v^2}{R} = \frac{(6.00~m/s)^2}{14.0~m}$
$a_R = 2.57~m/s^2$ (directed straight up toward the center of the circle)
(b) $a_R = \frac{v^2}{R} = \frac{(6.00~m/s)^2}{14.0~m}$
$a_R = 2.57~m/s^2$ (directed straight down toward the center of the circle)
(c) $t = \frac{2\pi ~r}{v} = \frac{(2\pi)(14.0~m)}{6.00~m/s}$
$t = 14.7~s$
It takes 14.7 seconds to make one revolution.
