For the simple harmonic motion equation d=9cos((p/2)t) what is the frequency? If necessary, use the slash (/) to denote a fraction.

Question

For the simple harmonic motion equation d=9cos((π/2)t) what is the frequency? If necessary, use the slash (/) to denote a fraction.

 

 

 

2)  Find a model for simple harmonic motion if the position at t = 0 is 5 centimeters, the amplitude is 5 centimeters, and the period is 4 seconds

 

 

Answer 1

In the equation y = a cos bx, the absolute value of a is the amplitude and b is your frequency....so π/2 is your frequency.

 

b) the period is related to the frequency by the formula period * frequency = 2π.

So if your period is 4, you get 4f=2π or f = π/2. Since you now have the frequency and amplitude, you can plug it into the first problems general equation to get d=5cos ((π/2) t).

 

Hope this helped.