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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?

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Explanation:

The relation between angular frequency and frequency is directly proportional:

[tex]\omega=2\pi f[/tex]

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

The relation between angular frequency and period is inversely proportional:

[tex]\omega=\frac{2\pi}{T}[/tex]

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

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