Why angular velocity is also known as angular frequency?
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Explanation:Angular frequency ω (in radians per second), is larger than frequency ν (in cycles per second, also called Hz), by a factor of 2π. This figure uses the symbol ν, rather than f to denote frequency. A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω=v/r.
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Angular Velocity = ∅/t = rate of change of Angular displacement (∅).
Now, 1/t is also known as frequency(f).
Therefore, Angular Velocity can also be written as ∅/t = ∅(f)
So, as it can be seen from the above relation that Angular Velocity is ∅(f) i.e., Angular Displacement multiplied with frequency.
That is why, Angular velocity is also called Angular Frequency.
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