Answer
(a) $1.18 rad/s$ (b) $10.0 m/s^2$ (c) Tension in the vine.
Work Step by Step
(a) The angular speed can be calculated as
$\omega=\frac{v}{r}$
We plug in the known values to obtain:
$\omega=\frac{8.50m/s}{7.20m}$
$\omega=1.18rad/s$
(b) The centripetal acceleration can be calculated as:
$a_c=\frac{v^2}{r}$
We plug in the known values to obtain:
$a_c=\frac{(8.50m/s)^2}{7.20m}$
$a_c=10m/s^2$
(c) We know that the vine exerts the force which is responsible for the person's centripetal acceleration.
