11. Indicate the appropriate number of nodes and antinodes for the 4th harmonic. Sketch this harmonic. How much higher in frequency would the fifth harmonic be than the Fo? • Nodes and antinodes: In the 4th harmonic, there are 5 nodes and 4 antinodes along the vibrating string. • Frequency of the 5th harmonic: The 5th harmonic is 5 × Fo, so it is one Fo (fundamental frequency) higher than the 4th harmonic. Answer: 5 nodes and 4 antinodes; frequency difference = Fo. I 1 1 1 I I I I 1 1 1

11. Indicate the appropriate number of nodes and antinodes for the 4th harmonic. Sketch this harmonic. How much higher in frequency would the fifth harmonic be than the Fo? • Nodes and antinodes: In the 4th harmonic, there are 5 nodes and 4 antinodes along the vibrating string. • Frequency of the 5th harmonic: The 5th harmonic is 5 × Fo, so it is one Fo (fundamental frequency) higher than the 4th harmonic. Answer: 5 nodes and 4 antinodes; frequency difference = Fo. I 1 1 1 I I I I 1 1 1

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.3CQ: If the coordinate of a particle varies as x = -A cos t, what is the phase constant in Equation 15.6?...

See similar textbooks

Similar questions

How do sound vibrations of atoms differ from thermal motion?
How can an object move with respect to an observer so that the sound from it is not shifted in frequency?
An ultrasonic tape measure uses frequencies above 20 MHz to determine dimensions of structures such as buildings. It does so by emitting a pulse of ultrasound into air and then measuring the time interval for an echo to return from a reflecting surface whose distance away is to be measured. The distance is displayed as a digital readout. For a tape measure that emits a pulse of ultrasound with a frequency of 22.0 MHz., (a) what is the distance to an object from which the echo pulse returns after 24.0 ms when the air temperature is 26C? (b) What should be the duration of the emitted pulse if it is to include ten cycles of the ultrasonic wave? (c) What is the spatial length of such a pulse?
A certain vibrating string on a piano has a length of 74.0 cm and forms a standing wave having two antinodes. (a) Which harmonic does this wave represent? (b) Determine the wavelength of this wave, (c) How many nodes are there in the wave pattern?
Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a spongy material.
What is the difference between an overtone and a harmonic? Are all harmonics overtones? Are all overtones harmonics?
An astronomer measures the speed of recession of a remote galaxy to be 365 km/s using the Doppler principle According to the Hubble relation, about how far away is the galaxy?
A quartz watch contains a crystal oscillator in the form of a block of quartz that vibrates by contracting and expanding. An electric circuit feeds in energy to maintain the oscillation and also counts the voltage pulses to keep time. Two opposite faces of the block, 7.05 mm apart, are antinodes, moving alternately toward each other and away from each other. The plane halfway between these two faces is a node of the vibration. The speed of sound in quartz is equal to 3.70 103 m/s. Find the frequency of the vibration.
A taut string has a length of 2.60 m and is fixed at both ends. (a) Find the wavelength of the fundamental mode of vibration of the string. (b) Can you find the frequency of this mode? Explain why or why not.
An undersea earthquake or a landslide can produce an ocean wave of short duration carrying great energy, called a tsunami. When its wavelength is large compared to the ocean depth d, the speed of a water wave is given approximately by v=gd. Assume an earthquake occurs all along a tectonic plate boundary running north to south and produces a straight tsunami wave crest moving everywhere to the west. (a) What physical quantity can you consider to be constant in the motion of any one wave crest? (b) Explain why the amplitude of the wave increases as the wave approaches shore. (c) If the wave has amplitude 1.80 m when its speed is 200 m/s, what will be its amplitude where the water is 9.00 m deep? (d) Explain why the amplitude at the shore should be expected to be still greater, but cannot be meaningfully predicted by your model.
Consider the following wave function in SI units: P(r,t)=(25.0r)sin(1.36r2030t) Explain how this wave function can apply to a wave radiating from a small source, with r being the radial distance from the center of the source to any point outside the source. Give the most detailed description of the wave that you can. Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (a) Does the wave move more toward the right or the left? (b) As it moves away from the source, what happens to its amplitude? (c) Its speed? (d) Its frequency? (e) Its wavelength? (f) Its power? (g) Its intensity?
An A-major chord consists of the notes called A, C#, and E. It can be played on a piano by simultaneously striking strings with fundamental frequencies of 440.00 Hz, 554.37 Hz, and 659.26 Hz. The rich consonance of the chord is associated with near equality of the frequencies of some of the higher harmonics of the three tones. Consider the first five harmonics of each string and determine which harmonics show near equality.