Question

What is the frequency of this wave? What is the wavelength of this wave?

The displacement of a wave traveling in the positive x-direction is D(x,t)=(3.5cm)sin(2.3x−134t), where x is in m and t is in s.

Answer 1

frequency:

• `f = 67/(pi) approx 21.33 qquad " Hz"`

wavelength:

• `lambda = (20 pi)/23 approx 2.732" m"`

Explanation:

`D(x,t)= 0.035 sin(2.3x−134t)`

In standard form:

`D(x,t) = A sin (k x - omega t)`

• `omega = 2 pi f = 134 implies f = 67/(pi) approx 21.33 qquad " Hz"`

• `k = (2 pi)/ lambda = 2.3 implies lambda = (20 pi)/23 approx 2.732" m"`