A body in simple harmonic motion has a displacement x that varies in time t according to the equation x = 5cos(π t + π/3) , where x is in cm and t is in seconds. What is the frequency of the oscillation?

1/2 Hz

Explanation:

A simple harmonic motion has an equation in the form of

where A is the amplitude, is the angular frequency and is the initial phase.

Since our body has an equation of  x = 5cos(π t + π/3) we can equate and solve for frequency f

f = 1/2 Hz

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.

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