- #1
Nishikino Maki
- 18
- 0
Homework Statement
A simple harmonic wave train of amplitude 3 cm and frequency 200 Hz travels in the +ve direction of x-axis with a velocity of 20 m/s. Calculate the displacement, velocity, and acceleration of a particle situated at 50 cm from the origin at t = 2 s.
Homework Equations
I used [itex]y(x, t) = Acos(2\pi f(\frac{x}{v}-t))[/itex]
The Attempt at a Solution
Plugging in the values into the above equation, I got [itex]y(0.5, 2) = 0.03cos(400\pi (\frac{.5}{20} - 2))[/itex], which evaluates to 0.0236 m. However, the book says the answer is 0.02523 m.
This is marked as an easy question and is one of the first ones, so I think that I'm missing something basic?