Physics 11

Waves travelling along a string have a wavelength of 2.4m. When the waves reach the fixed end of the string, they are reflected to produce a standing wave pattern. How far from the end are the first 2 antinodes?

I know that each wavelength has 2 antinodes so each antinode has a length of 1.2m. I feel like I need either the amount of antinodes total or the total length of the string to get that value...

Thanks a bunch :)

  1. 👍
  2. 👎
  3. 👁
  1. the first antinode is 1/4 wavelength from the fixed end.
    the second one is half a wavelength further
    so at L/4 and 3L/4
    = .6 and 1.8

    the fixed end is a node x = 0
    the ANTInode is 1/4 L away, x = L/4
    the next node is at L/2 , x = L/2
    next ANTInode is at 3L/4 x=(3/4)L
    the next node is at x = L

    y = sin2pi (x/L - t/T) + sin2pi(x/L+t/T)

    that is a wave going right plus a wave going left and not that at x = 0 the sum is always zero, that is a NODE
    now do the trig
    sina+sin b = 2sin.5(a+b)cos.5(a-b)
    so here
    y= 2 sin 2pi x/L cos 2pi t/T
    now look at 2sin 2pi x/L
    when x = 0 we have 2*0 = 0
    when x = L/4 we have 2sinpi/2 = 2
    our first antinode
    when x = L/2 we have 2 sinpi = 0
    wen x = 3L/4 we have 2 sin3pi/2 =-2
    our second antinode
    when x = L we have 2 sin 2pi = 0

    1. 👍
    2. 👎
  2. Oh I get it!! Thank you very much :)

    1. 👍
    2. 👎
  3. LOL i read this maybe... 6 times, then like you say - I DREW IT - and then it made sense < 3

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    What is the main difference between mechanical and electromagnetic waves? A. Mechanical weaves involved transfers energy; electromagnetic waves do not B. Mechanical waves require a medium to travel in; electromagnetic waves do

  2. Science

    1. Which of the following statements about mechanical waves is true? a. mechanical waves require a medium to travel through b. mechanical waves do not have amplitude and wavelength c. mechanical waves do not have frequency d.

  3. Physics

    Earthquakes produce two kinds of seismic waves: he longitudinal primary waves (called P waves) and the transverse secondary waves (called S waves). Both S waves and P waves travel through Earth’s crust and mantle, but at

  4. Science

    What is the main difference between mechanical and electromagnet waves? a)Mechanical waves involve transfer of energy; electromagnet waves do not. b)Mechanical waves require a medium to travel in; electromagnet waves do not.

  1. Physics

    Two mirrors of a laser separated by 8.0 cm form an optical cavity in which standing waves of laser light can be set up. Each standing wave has an integral number n of half wavelengths in the 8.0 cm length, where n is large and the

  2. Physics

    A wave travels at a speed of 34 cm/s. It’s wavelength is 18 cm. What is the period of the wave? 0.75 s 1.2 s 0.66 s 0.53 s Regions of compression and rarefaction help define _______. Electromagnetic waves Longitudinal waves, but

  3. Physics

    A stretched string fixed at both ends is 2.0 m long. What are the three wavelengths that will produce standing waves on this string? Name at least one wavelength that would not produce a standing wave pattern, and explain your

  4. Science

    1. Which of the following statements about mechanical waves is true? Mechanical waves require a medium to travel through. Mechanical waves do not have amplitude and wavelength.** Mechanical waves do not have frequency. Mechanical

  1. physics

    An earthquake generates three kinds of waves: surface waves (L waves), which are the slowest and weakest; shear (S) waves, which are transverse waves and carry most of the energy; and pressure (P) waves, which are longitudinal

  2. physics

    In a double-slit experiment, two beams of coherent light traveling different paths arrive on a screen some distance away. What is the path difference between the two waves corresponding to the third bright band out from the

  3. Algebra 1 high school

    In deep water, the speed s (in meters per second) of a series of waves and the wavelength L (in meters) of the waves are related by the equation 2(pi)s^2=9.8L. a. Find the speed the the nearest hundredth of a meter per second of a

  4. Physics

    Two waves traveling on a string in the same direction both have a frequency of 150 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of

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