Posted by **maria** on Tuesday, October 25, 2011 at 5:25am.

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ...

a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ?

b)... the speed of the wave ?

c)... the wavelength.

d) ... the power transmitted by the wave. ?

- physics -
**drwls**, Tuesday, October 25, 2011 at 6:39am
(a) Do you really mean x = 2.27 cm? Or should that be 2.27 m?

In either case, compute the value of

0.713 x - 41.9 t and divide it by 2 pi. Whatever is "left over" after the decimal point will tell you the phase, when compared to 2 pi.

(c) 0.713 m^-1 = (2 pi)/(wavelength)

wavelength = 8.81 m

41.9 s^-1= 2 pi f

f = 6.67 Hz

(b) speed = (wavelength)*(frequency)

= 58.75 m/s

(d) Wave pwer is proportional to frequency and Amplitude^2.

See the formula at

http://hyperphysics.phy-astr.gsu.edu/hbase/waves/powstr.html

- physics -
**maria**, Tuesday, October 25, 2011 at 7:48am
a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ?

yes x is 2.27 cm. in meter is 0.0227m !

- physics -
**maria**, Tuesday, October 25, 2011 at 8:14am
(d) Wave pwer is proportional to frequency and Amplitude^2.

f=6.669 Hz u=10.1 g/m

A=0.169 m

W=41.9

I tried with the power transmitted formula power=0.5*u*W^2*A^2*v

But my solution is wrong :(

I can not find a) and d) :(

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