physics

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. ?

  1. 👍 0
  2. 👎 0
  3. 👁 878
  1. (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

    1. 👍 0
    2. 👎 0
  2. 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 !

    1. 👍 0
    2. 👎 0
  3. (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) :(

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    The wave function (x,t)=(0.03m)sin(2.2x-3.5t) is for a harmonic wave on a string. (a) In what direction does this wave travel and what is its speed? (b) Find the wavelength, frequency, and period of this wave. (c) What is the

  2. Physics

    Hi, can anybody provide some hints in how to approach these questions? I've been stuck on it for days!!! Thank you in advance!! Nodes of a Standing Wave: Consider a standing wave, where y represents the transverse displacement of

  3. Physics

    A transverse wave is formed on a long skipping rope. The equation of the transverse wave is y=5.50 sin(0.031π x+5.52π t) where x and y are in centimeters, t is in seconds, and Π is pi (3.14..). Find the amplitude of the wave?

  4. science

    A string is waved up and down to create a wave pattern with a wavelength of 0.5 m. If the waves are generated with a frequency of 2 Hz, what is the speed of the wave that travels through the string to the other end? The speed of

  1. physics (please help)

    Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is _____ that of wave B. a)half

  2. physics (please help)

    Let f be the frequency, v wav the speed, and T the period of a sinusoidal traveling wave. The correct relationship is: a)f=1/T b)f=vwav + T c)f=vwavT d)f=vwav/T e)f=T/vwav My thoughts: Since frequency is equal to T=1/f so f=1/T.

  3. physics

    A guitar string 75.0cm in length is strung to play the note C at a frequency of 880Hz as it 3rd harmonic. a.) what is the length of the transverse wave on the guitar string? b) what is the speed of this transverse wave along the

  4. Physics

    To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 120 Hz. The other end of the string passes over a pulley and is connected to a suspended mass M, as shown. The value of M is such that

  1. PHYSICS -HELP

    A traverse periodic wave described by the expression y=5sin (pi x/3 - 30pi t) (where y and x are in meters and t is in seconds) is established on a string. By reflecting this wave from a rigid support, standing transverse waves

  2. Physics

    A stretched string is 1.93 m long and has a mass of 21.1 g. When the string is oscillated at 440 Hz, which is the frequency of the standard A pitch that orchestras tune to, transverse waves with a wavelength of 16.9 cm travel

  3. physics

    A sinusoidal wave on a string is described by the equation y = (0.191 m) sin (0.745 x - 42.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 11.7 g/m ... a) ... determine the phase

  4. physics

    A transverse wave on a string is described by the following equation. y(x, t) = (0.35 m) sin[(1.25 rad/m)x + (92.8 rad/s)t] Consider the element of the string at x = 0. (a) What is the time interval between the first two instants

You can view more similar questions or ask a new question.