Answer
(a) An insect moves with a speed of $31.3~m/s$
(b) The angular speed is $31.3~rad/s$
Work Step by Step
(a) We can find an insect's speed:
$a_c = \frac{v^2}{r}$
$v = \sqrt{a_c~r}$
$v = \sqrt{(980~m/s^2)(1.0~m)}$
$v = 31.3~m/s$
An insect moves with a speed of $31.3~m/s$
(b) We can find the angular speed:
$\omega = \frac{v}{r}$
$\omega = \frac{31.3~m/s}{1.0~m}$
$\omega = 31.3~rad/s$
The angular speed is $31.3~rad/s$
