Answer:
Approximately .
Explanation:
Fact: the angular velocity of a simple harmonic oscillator is the ratio between the maximum velocity and the maximum displacement of this oscillator. In other words:
.
Derivation of the previous equation:
Let denote the amplitude of this oscillation, and let denote the angular velocity.
The displacement of the oscillator at time would be:
.
The maximum displacement of this oscillator would be .
The velocity of this oscillator at time is the derivative of displacement with respect to time:
.
The maximum velocity of this oscillator would be .
Notice that dividing by would give:
.
It is given that while . Therefore:
.
(Radians per second.)