Problem 20.52 Problem 20.52 A wave on a string is described by D(x,t) = (2.2cm)

Question

Problem 20.52

Problem 20.52 A wave on a string is described by D(x,t) = (2.2cm) x sin[2Pi(x/(3.6m) t/(0.14s) + 1)), where x is in m and t is in s. Part B What is the wave speed? Express your answer to two significant figures and include the appropriate units. v = Value Units Part C What is the frequency? Express your answer to two significant figures and include the appropriate units. F= Value Units Part E At t= 0.21s, what is the displacement of the string at x = 3.9m? Express your answer to two significant figures and include the appropriate units. 1 = Value Units D(3.9m, 0.21s)= Value Units Part D What is the wave number? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

comparing with standard wave equation

D(x,t) = A*sin(kx + wt + phi )

A = 2.2cm

w = 2pi/0.14

k = 2pi/3.6

partB) v = w/k = (2pi/0.14)*(3.6/2pi) = 25.71 m/s

part C) f = w/2pi = 1/0.14 = 7.143 hz

part D ) k = (2*pi)/3.6 = 1.74 m^-1

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