Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. physics

A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.400 m and a mass of 3.00 g. What is the frequency f_1 of the string's fundamental mode of vibration? What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 9781 Hz?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Anonymous
2 answers

  1. http://hyperphysics.phy-astr.gsu.edu/Hbase/waves/string.html

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    bobpursley

  2. In Part A of this particular problem you are solving for the Fundamental Frequency of the string. Use the equation:

    F(fundamental)= [1/(2 * L)] * sqrt[(tension force/mu)]

    L= length of string= .4 meters
    mu= mass/length=.003 kg/.4=.0075 kg/m
    tension force=765 N

    plug in knowns and F= 399.2 Hz
    *************************************
    For part B you must solve for the integer multiple, which the problem calls "n". The formula is as follows:

    F1= n * F(Fundamental Frequency)

    F1=9781 Hz

    solve for "n" and n= 24.5....round down so that n=24.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Billy

Answer this Question

Similar Questions

  1. statistics

    A manufacturer has a maximum of 240, 360, and 180 kilograms of wood, plastic and steel available. The company produces two products, A and B. Each unit of A requires 1, 3 and 2 kilograms of wood, plastic and steel respectively; each unit of B requires 3, 4

  2. Physics

    A steel wire 2.7-mm in diameter stretches by 0.211 percent when a mass is suspended from it. How large is the mass in kg?

  3. Science

    A spiral spring extends by 5cm under a load of 60N.when the load is replaced by a steel block, the new extension is 7cm. Calculate the weight of the steel block.

  4. Math/Physics

    A crane suspends a 500-lb steel beam horizontally by support cables (with negligible weight) attached from a hook to each end of the beam. The support cables each make an angle of 60° with the beam. Find the tension vector in each support cable and the

  5. physics

    In raising a 4000-N piano with a pulley system, the workers note that for every 1.6 m of rope pulled downward, the piano rises 0.22 m.Ideally, find the force that is required to lift the piano.

  6. Science

    How can a person sing into a piano and cause a piano wire to vibrate? The person sings at the same frequency as the piano wire, called the resonance frequency. The person sings at a different frequency than the piano wire, called the beat frequency. The

  7. Physics

    The speed of sound in steel is 5000 m/s. What is the wavelength of the sound wave of 640 Hz in steel?

  8. physics

    A 4.0-m-long steel wire has a cross-sectional area of 0.050cm2. Its proportional limit has a value of 0.0016 times its Young's modulus. Its breaking stress has a value of 0.0065 times its Young's modulus. The wire is fastened at its upper end and hangs

  9. Physics Classical Mechanics

    A uniform steel beam of mass m1= 300.0 kg is held up by a steel cable that is connected to the beam a distance L= 5.0 m from the wall, at an angle θ= 40.0∘ as shown in the sketch. The beam is bolted to the wall with an unknown force F⃗ exerted by the

  10. Physics

    determine the submerged depth of a cube of steel 0.3m on each side floating in mercury given the specific gravities of steel and mercury as 7.8 and 13.6 respectively.

Still need help?

You can ask a new question or browse existing questions.