A transverse wave on a string is described by the nave tunction 4= 9= .120 sin (Ix +4Tt) where x and y are in meters and t is in seconds. Detennine a) the transverse speed and b) the transverse acceleration at t=,200s for an element of the string located at X=\,6m. What are c) the wavelend th, d), the per iod, and e) the speed Listance if lakes to と(4)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 68P: Transverse waves travel through a string where the tension equals 7.00 N with a speed of 20.00 m/s....
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Can you please explain the derivation of the velocity of the transverse wave? I am just not quite understanding why the Pi/8 doesn't get multiplied like the 4pi.  Wouldn't the derivative of pi/8x be pi/8?

A
transverse wave on a string is described by the nave tunction
4=
9= .120 sin (Ix +4Tt) where x and y are in meters and t is in
seconds. Detennine a) the transverse speed and b) the transverse
acceleration at t=,200s for an element of the string located at
X=\,6m. What are c) the wavelend th, d), the per iod, and e) the speed
Listance if lakes to
と(4)
Transcribed Image Text:A transverse wave on a string is described by the nave tunction 4= 9= .120 sin (Ix +4Tt) where x and y are in meters and t is in seconds. Detennine a) the transverse speed and b) the transverse acceleration at t=,200s for an element of the string located at X=\,6m. What are c) the wavelend th, d), the per iod, and e) the speed Listance if lakes to と(4)
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