Question

If an object oscillates in simple harmonic motion, with the position described by the equation: x(t) = 42.5*cos(21t) What is the angular frequency of oscillation w ?

Answer 1

The angular frequency of oscillation w = 21

Step-by-step explanation:

To solve the question, we note that x(t) is the point in the motion of the object. Therefore to find the angular frequency of oscillation, we find the relationship between the angular velocity and time

The angular frequency, ω is a scalar quantity used to depict the rate of rotation per unit time

When there is a function in simple harmonic motion (SHM) with the following equation then ω is the angular frequency

x(t) = A·cos (2πft) = A·cos(ωt) which is similar to 42.5*cos(21t)

then 21 = angular frequency