A transverse traveling sinusoidal wave on a string has a frequency of 100 Hz, a wavelength of 0.040 m and an amplitude of 2.0 mm.The maximum velocity of any point on the string is:
A)0.20 m/s
B)1.3 m/s
C)4.0 m/s
D)15 m/s
E)25 m/s

Question

Quizplus · Accepted Answer

The maximum velocity ($v_{max}$) of a point on a wave is given by the formula $v_{max} = 2\pi fA$, where $f$ is the frequency and $A$ is the amplitude. Given that the frequency $f = 100$ Hz and the amplitude $A = 2.0$ mm $= 0.002$ m, substituting these values gives $v_{max} = 2\pi \times 100 \times 0.002 = 1.256$, which rounds to $1.3$ m/s.

A Transverse Traveling Sinusoidal Wave on a String Has a Frequency