Question

An object is in simple harmonic motion. The rate at which the object oscillates may be described using the period T, the frequency f, and the angular frequency . If the angular frequency decreases, what is the effect on the period and the frequency?

Answer 1

Explanation:

The relation between angular frequency and frequency is directly proportional:

$\omega=2\pi f$

So, if the angular frequency decreases, the frequency also decreases.

The relation between angular frequency and period is inversely proportional:

$\omega=\frac{2\pi}{T}$

So, if the angular frequency decreases, the period increases.