# Wave function

1. Mar 12, 2014

### negation

1. The problem statement, all variables and given/known data

Write a simple harmonic motion with amplitude 14cm , frequency 3.0Hz , and maximum displacement at t=0.

3. The attempt at a solution

y (t) = A cos (ωt) = 14 cos (2πt/T)
Dealing with angular frequency is easy. But deal with natural frequency throws me off course.

2. Mar 12, 2014

### collinsmark

Physics doesn't require much memorization compared to other fields of study. But here are a couple of relationships that are exceptions, and you might want to commit them to memory:

$$f = \frac{1}{T}$$
$$\omega = 2 \pi f$$

Where T is the period, ω is the angular frequency (i.e., radial frequency), and f is the simple frequency (i.e., ordinary frequency). (Some textbooks represent the simple frequency with the Greek letter nu, $\nu$, which looks too much like a 'v' to me, but it's often used anyway. Just be aware of that.)

3. Mar 12, 2014

### negation

Thanks. Frequency is the number cycles per second. In order to have it converted to radians, and by definition of one cycle = 2 pi, the product of f and 2pi gives radians s^-1