Transverse waves are traveling on a long string that is under a tension of 9.00

Question

Transverse waves are traveling on a long string that is under a tension of 9.00 N . The equation describing these waves is
y(x,t)=( 4.60 cm)sin[( 430 s1)t( 45.7 m1)x].

Part A

Find the speed of the wave using the equation.

Express your answer in meters per second to three significant figures.

Part B

Find the linear mass density of this string.

Express your answer in kilograms per meter to three significant figures.

v = ___________m/s  

Part B

Find the linear mass density of this string.

Express your answer in kilograms per meter to three significant figures.

= _____ kg/m  

Explanation / Answer

given equation

y(x,t)=( 4.60 cm)sin[( 430 s1)t( 45.7 m1)x]

w = 430 s^-1

k = 45.7 m^-1

v = w/k = 430/45.7 = 9.40 m/s

(b)

linear mass density

v = sqrt T/u

u = T/v^2 = 0.101 kg/m

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