Question

[A * sin(Bt + C)] + D for the position equation

A = amplitude

B = 2 * pi * frequency aka the angular frequency

C = phase angle

D = offset fro the equilibrium position

One of your groupmate carelessly recorded the fitted parameter in partC. The result is as follows: A = (20 ± 1)cm, B = (5 ± 1) rad/s, D = (5 ± 1)cm. How can you tell this data is NOT reasonable? Explain your reasoning.

**phase angle was not given in the problem so we don't need to consider it.

Answer 1

can vary from -1 to 1

So, for the given values,

is the maximum value towards the right,

and

   is the maximum value towards the left,

total distance in one flow is

This is a 10% error in our calculation. Which is not ignorable. So, the data is not precise and hence not reasonable.