Question

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time t = 0.
amplitude 16 cm, period 3 s



Would the answer be$y = 16sin(\frac{2\pi }{3}t)$

Answer 1

Answer:

y = 16sin(2π/ 3)t.

Step-by-step explanation:

When displacement = 0 at time = 0 we use the sine function.

The formula is y = A sin(2πft)  where A = the amplitude, f = frequency which  is 1/period and t = the time.

So for this SHM the function is

y = 16sin(2π/ 3) t.

You are correct.