Help is needed?

Question

The motion of an object is described by the equation
x=(0.3m) cos(Pit/3)

a. find the position of the object at t=0 and t=0.6s.
b. amplitude of the motion
c. frequency of the motion
d. the period of the motion

Answer 1

The first thing to do is to get an idea of what you are looking at. The form of this formula is:

x = A cos(ωt)

x representing the position of the object, A representing the amplitude of the objects motion, ω being 2π*f and t being the time.

For a) Simply plug in your t's for t and calculate
For b) The amplitude is .3m due to the fact that the way the equation is given, A = 0.3m
For c) ω = 2πf, simply solve for f using ω = π/3 from the equation
For d) the period is 1/f

I hope this was useful.