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 acceleration in m/s² of any point on the string is: A) 0 B) 130 C) 395 D) 790 E) 1600

Question

Quizplus · Accepted Answer

The maximum acceleration $ a_{max} $ of a point on a wave is given by $ a_{max} = (2\pi f)^2 A $, where $ f $ is the frequency and $ A $ is the amplitude. Substituting $ f = 100 $ Hz and $ A = 0.002 $ m, we get $ a_{max} = (2\pi \times 100)^2 \times 0.002 = 790 $ m/s².

A Transverse Traveling Sinusoidal Wave on a String Has a Frequency