physics

posted by .

A string is stretched between two supports that are L = 0.9 m apart. It resonates at a frequency of f = 410 Hz with a standing wave pattern that has two nodes between the two supports.
(a) Find the wavelength λ in meters.
(b) Suppose that the tension, T, in the string is increased by a factor of 4. What is the new frequency f' in Hz if the string vibrates with the same standing wave pattern as in the drawing above?

  • physics -

    The wire length is one half wavelength

    wave speed is proportional to the square root of tension, so wave speed is doubled here.

    f*lambda=speed, so if lambda is constant, speed doubled, f must...

  • physics -

    I got the wavelength to be (2/3)L which gives you .6 and that's correct, but I can't get the second part right

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Standing waves and resonance (physics)

    A nylon string has a linear density of 7.2g/m and is under a tension of 150N. The fixed supports are 90cm apart. The string is oscillating in the standing wave pattern. Find a)speed b)wavelength c) frequency v=sqr(F/u(linear density) …
  2. physics

    I have to figure out if the following are true or false in order to solve an equation. But I am getting at least two wrong so I can't get the next one right. A)If you increase the tension in a string, the frequency of its fundamental …
  3. physics

    Standing waves on a string are generated by oscillations having amplitude 0.005 m, angular frequency 942 rad/s, and wave number 0.750p rad/m. a.) What is the equation of the standing wave?
  4. Physics HW ...HELP!!

    Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 400Hz, and the speed of transverse waves in both wires …
  5. physics..please help me due in a couple of mins.!!

    Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 400Hz, and the speed of transverse waves in both wires …
  6. Physics please help me

    Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 400Hz, and the speed of transverse waves in both wires …
  7. Physics

    A standing wave is generated in a 12.0 m wave tank using a frequency of 5.00 Hz. There are a total of four nodes in the standing wave (one on each end of the tank and two others between the ends). a) Sketch the wave in the tank. b) …
  8. Physics

    Suppose you have a string that is being made to vibrate at a specific frequency, f. The speed of waves on the string is v. The length of the string that is vibrating, L, is adjustable. When the length of the string has been adjusted …
  9. Waves and Optics

    A string stretched between two supports sets up standing waves with two nodes between the ends when driven at a frequency of 230Hz.What order is such a wave?
  10. Physics 1

    a 12.5 m long string vibrates as 100 hertz standing wave with nodes at 1.0m and 1.5m from one end of the string and at no points in between the two. Which harmonic is this?

More Similar Questions