Frequency is a metric for expressing the rate of oscillation in a wave. For planar and longitudinal waves, this often expressed in oscillations-per-second or Hz. Angular frequency used for expressing rates of rotation, similar to revolutions-per-second, and is usually expressed in radians-per-second. It can be thought of as a wave with a constant amplitude where the amplitude rotates in a circle in space.
The two differ by factor of 2*Pi.
Omega (angular frequency) = 2*Pi*f(frequency in Hz)
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Time period = 1 / frequency. Frequency = 1 / time period.
Let us go step by step Period = 2 pi ./l/g Or frequency = 1/2pi * ./g/l Or 2 pi frequency = angular frequency = ./g/l As we reduce the length by 4 times i.e 1/4 l then we have angular frequency doubled. Hence reduce the length to 0.25 l
angular frequency = square root (K/m) wher k is spring constant and m = mass linear frequency = 1/2pi times square root (K/m)
numbers of cycle per unit time.