y ( x , t )= B cos[2 ( x L t )], Part A Determine the wave\'s amplitude. Submit

Question

y(x,t)=Bcos[2(xLt)],

Part A

Determine the wave's amplitude.

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Part B

Determine the wave's wavelength.

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Part C

Determine the wave's frequency.

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Part D

Determine the wave's speed of propagation.

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Part E

Determine the wave's direction of propagation.

A certain transverse wave is described by

y(x,t)=Bcos[2(xLt)],

where B = 5.90 mm , L = 30.0 cm , and = 3.50×102 s .

Part A

Determine the wave's amplitude.

A =   m  

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Part B

Determine the wave's wavelength.

=   m

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Part C

Determine the wave's frequency.

f =   Hz

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Part D

Determine the wave's speed of propagation.

v =   m/s

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Part E

Determine the wave's direction of propagation.

Determine the wave's direction of propagation. +x direction -x direction

Explanation / Answer

A) wave's amplitude = 5.9 mm

B) wave's wavelength = 2pi/K = 30 cm

C) wave's frequency = W/2pi = 1/(3.50×102) = 28.57 sec^-1

D) wave's speed = wavelength * frequency = 30* 28.57 = 857.1 cm/s

E) wave's direction of propagation = +x direction ( as t , x are of opposite sign )

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