SOLUTION: An object moves in simple harmonic motion described by the equation : d=-7cos(2π/3)t, where t is measured in t seconds and d is measured in inches. Fond the following: a.)Max

Algebra ->  Trigonometry-basics -> SOLUTION: An object moves in simple harmonic motion described by the equation : d=-7cos(2π/3)t, where t is measured in t seconds and d is measured in inches. Fond the following: a.)Max      Log On


   



Question 863378: An object moves in simple harmonic motion described by the equation : d=-7cos(2π/3)t, where t is measured in t seconds and d is measured in inches. Fond the following:
a.)Max displacement?
b.)Frequency?
c.)Time required for one cycle?
I tried to get started on this problem but I am completely stuck. It would be greatly appreciated if someone helped me. Thank you.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The cos function has a maximum value of 1.
The multiplier in front of it generates the multiplier for the displacement.
Max. displacement : 7
.
.
The multiplier for t is the frequency.
f=%282%2F3%29pi
.
.
The time required to complete one cycle is the period.
P=%282pi%29%2Ff
P=%282pi%29%2F%28%282%2F3%29pi%29
P=3
.
.
.
graph%28300%2C300%2C-7%2C7%2C-7%2C7%2C-7cos%28%282%2F3%29pi%2Ax%29%29%29