Question

PLEASE HELP!!! Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 8 units, with angular speed 5 radians per second

Answer 1

x = A cos ω t

 

where,

A is the amplitude

ω is the angular frequency

 

Since the shape is a circle, therefore the amplitude is simply equal to 2π or 6.28 rad while the angular frequency is 5 rad/s, therefore:

 

x = 2π cos 5 t