SOLUTION: Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0. amplitude 6.45 in., frequency 3

Algebra ->  Systems-of-equations -> SOLUTION: Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0. amplitude 6.45 in., frequency 3      Log On


   



Question 968546: Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time
t = 0.
amplitude 6.45 in., frequency 30 Hz

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
y%22%22=%22%22A%2Acos%28Bt%29

has amplitude |A| and period 2pi%2FB, and reaches its maximum at t=0.

So we choose A = 6.45

matrix%281%2C3%2CPeriod%2C%22%22=%22%22%2C1%2Ffrequency%29

matrix%281%2C5%2CPeriod%2C%22%22=%22%22%2C2pi%2FB%2C%22%22=%22%22%2C1%2F30%29

matrix%281%2C3%2C2pi%2FB%2C%22%22=%22%22%2C1%2F30%29

B%22%22=%22%2260pi

y%22%22=%22%22A%2Acos%28Bt%29

y%22%22=%22%226.45%2Acos%2860pi%2At%29

Edwin