Question

Observations show that the dragonflies complete one revolution every 0.017 s during this "spin dry" maneuver. What is their angular speed in radians per second?

Answer 1

Answer:

$\omega=369.6\frac{rad}{s}$

Explanation:

The time taken to complete one revolution is the period and is defined as:

$T=\frac{1}{f}(1)$

The angular speed is given by:

$\omega=2\pi f\\f=\frac{\omega}{2\pi}(2)$

Replacing (2) in (1) and solving for $\omega$:

$T=\frac{1}{\frac{\omega}{2\pi}}\\\omega=\frac{2\pi}{T}\\\omega=\frac{2\pi}{0.017s}\\\omega=369.6\frac{rad}{s}$