Block is attached to an oscillating spring. The function below shows its position (cm) vs. time (s). What is the angular frequency ( ω ω ) of oscillation? x ( t ) = 1.5 cos ( 20 t ) x(t)=1.5cos⁡(20t)

Angular frequency is 20 rad/s.      

Explanation:

Given that,

A block is attached to an oscillating spring. The function below shows its position (cm) vs. time (s) is given by :

.....(1)

The general equation of oscillating particle is given by :

.......(2)

Compare equation (1) and (2) we get :

So, the angular frequency of the oscillation is 20 rad/s.

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