frequency of oscillation

[staceyrho]

I have this problem, and I'm confused by the formula in it, so I'm not sure how to solve.

A wave on a string is described by the wave function
y= (0.1m) sin [0.5 rad/m) x- (20 rad/s) t]

determine the frequency of oscillation of a particular point at x= 2.0m. Answer in units of Hz.

 

[skeeter]

\(\displaystyle \L f = \frac{\omega}{2\pi}\)

now ... what number represents \(\displaystyle \L \omega\) in the given linear wave equation?

y= (0.1m) sin [(0.5 rad/m) x- (20 rad/s) t]

 

[staceyrho]

it would be the 20 rad/s correct?

so I would tak (20 rad/s)/ (2(3.14)= .98 rad/s or am I way off here?

 

[skeeter]

way off ... how can 20 divided by a number that is close to 6 possibly be .98 ?

(20 rad/s)/(2pi rad) is approx 3.2 Hz.

what kind of calculator do you own/operate?