physics

A 1.6-m-long string fixed at both ends vibrates at resonant frequencies of 792 Hz and 990 Hz, with no other resonant frequency between these values.

(a) What is the fundamental frequency of this string?

(b) When the tension in the string is 1165 N, what is the total mass of the string?

Honestly, I am confused about this. COuld someone explain it to me. Thank you.

  1. 👍 0
  2. 👎 0
  3. 👁 1,183
  1. f1 is the fundamental frequency. Resonant frequencies are
    f(n) = n•f1 = 792 Hz,
    f(n+1) =(n+1) •f1= 990 Hz
    f(n)/f(n+1) = n/(n+1) = 792/990.
    n = 4,
    f1 =f(n)/n = 792/4 = 198 Hz,
    f1 = v/2•L ,
    v = f1•2•L = 198•2•1.6 = 633.6 m/s,
    v = sqrt(T/m(o)),
    m(o) = m/L,
    m =T•L/v^2 = 1165•1.6/(633.6)^2 = 4.23•10^-3 kg =4.23 g.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A guitar string is 90cm long and has a mass of 3.8g . The distance from the bridge to the support post is L=62cm , and the string is under a tension of 540N . What are the frequencies of the fundamental and first two overtones?

  2. college physics

    A violin string vibrates at 300 Hz when unfingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.) Please help!

  3. Physics

    The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long [.6m] and has a mass of 2.23 g [.00223kg]. The string

  4. Physics- Someone Please Help!!!

    A 60.00 cm guitar string under a tension of 46.000 N has a mass per unit length of 0.11000 g/ cm. (a) What is the speed of the wave? (b) What is the fundamental wavelength for this string? (c) What is the fundamental frequency for

  1. Physics

    An iron bolt of mass 70.0 g hangs from a string 31.3 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, displaced horizontally 23.0 cm to the right from the

  2. Physics

    A stone with mass 0.8kg is attached to one end of a string 0.9m long . The string will break if its tension exceeds 600N. The stone is whirled in a horizontal circle ,the other end of the string remains fixed. Find the maximum

  3. physics

    Which one of the following statements about standing waves on a string is FALSE? Select one: a. All other frequencies are integer multiples of the first harmonic b. The first harmonic is the lowest frequency standing wave that can

  4. electronics

    Which of the following statements is true with reference to an L-C resonant circuit? (1) The impedance of a parallel L-C circuit is low at resonance and higher at frequencies above and below resonance. The impedance of a series

  1. 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

  2. Physics

    An iron bolt of mass 80.0 g hangs from a string 38.8 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, displaced horizontally 28.0 cm to the right from the

  3. Physics Problem

    The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long [.6m] and has a mass of 2.23 g [.00223kg]. The string

  4. Physic

    A 2.2 m-long string is fixed at both ends and tightened until the wave speed is 50 m/s. What is the frequency of the standing wave shown in the figure? Answer in Hz. I've been working on it for a while but cant figure out...

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