Concept explainers
CP A vertical, 1.20-m length of 18-gauge (diameter of 1.024 mm) copper wire has a 100.0-N ball hanging from it. (a) What is the wavelength of the third harmonic for this wire? (b) A 500.0-N ball now replaces the original ball. What is the change in the wavelength of the third harmonic caused by replacing the light ball with the heavy one? (Hint: See Table 11.1 for Young’s modulus.)
Trending nowThis is a popular solution!
Chapter 15 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
Introductory Chemistry (6th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Cosmic Perspective Fundamentals
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Chemistry: The Central Science (14th Edition)
- A copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?arrow_forwardReview. A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point?arrow_forwardA wire is under tension due to a hanging mass. The observed wave speed is 24m/s when suspended mass is 3kg. A) what is the strings linear density ? B) if the length of the vibrating portion of the string is 1.2m, what is the frequency?arrow_forward
- a steel wire with a uniform tension T=600N, length L=2m and mass 8 kg. a) Find the elementary frequency of oscillation. b) if the maximum frequency that a person can hear is 10,000hz=f, what is the highest harmonic that this person can perceive?arrow_forwardA flute can be modeled as an open-open tube. My flute is L = 0.5969 m from %3D mouthpiece (one open end) and the end (the other open end). Assume 20 °C. 3 mode when the flute is open to a) What is the frequency of the m = atmosphere only at the two open ends? b) I lift a key that creates a hole 2L/5 from the open end. Recall that this hole opens to atmospheric pressure, as do the open ends. i. Draw the lowest-frequency mode that meets the boundary conditions at the two open ends and this new hole at 2L/5. ii. Calculate the frequency and wavelength of this mode.arrow_forwardA 2.0 m long wire was drawn so that it had a tension of 250 N this wire was disturbed by its center so that it shifted 2.0 mm from its equilibrium point. If the mass of the wire is 50.0 grams, determine : Fast transverse wave propagation that occurs (in m /s) ?arrow_forward
- A steel wire in a piano has a length of 0.70 m and a mass of 4.3 grams. The speed of the wave produced is 2.25m/s. To what tension in n must this wire be stretchedarrow_forwardOne end of a horizontal hope is attached to a prong of an electrically driven tuning fork that vibrates the rope transversely at 150 Hz. The other end passes over a pulley and supports a 2.50-kg mass. The linear mass density of the rope is 0.05 kg/m. What is the wavelength in millimeters? NOTE Express your final answers accurate to four decimal places; avoid rounding off intermediate values in the solutions to avoid deviation due to rounding-off within the solution.arrow_forwardTwo steel guitar strings have the same length. String A has a diameter of 0.53 mm and is under 450.0 N of tension. String B has a diameter of 1.3 mm and is under a tension of 800.0 N Find the ratio of the wave speeds, vA/vB, in these two strings.arrow_forward
- HW1//: find the amplitude, period, and frequency for the following waveform. a. 20 sin 377t b. 5 sin 7541 c. 10° sin 10,000t e. -7.6 sin 43.6t d. 0.001 sin 942t f. ) sin 6.2831 HW/2 Find the phase relationship between the waveforms of cach set: a. v= 4 sin(wr + 50°) i = 6 sin(wr + 40°) b. v = 25 sin(ot - 80°) i = 5 x 10- sin(wr - 10°) c. v= 0.2 sin(wt - 60°) i = 0.1 sin(wr + 20°) d. v = 200 sin(wt i = 25 sin(wr 210°) 60°) HW/3 Repeat Problem 29 for the following sets: a. v = 2 cos(ot - 30°) i - 5 sin(wt + 60°) c. v= -4 cos(wt + 90°) i = -2 sin(wt + 10°) b. v = -1 sin(wt + 20°) i - 10 sin(wr - 70°)arrow_forwardA wire is made by welding together two metals having different densities. The figure(Figure 1) shows a 2.00-m-long section of wire centered on the junction, but the wire extends much farther in both directions. The wire is placed under 2250 N tension, then a 1500 Hz wave with an amplitude of 3.00 mm is sent down the wire. How many wavelengths (complete cycles) of the wave are in this 2.00-m-long section of the wire?arrow_forwardWrite your understanding about coherent waves. A steel wire in a piano has a length of L = 0.9m and a mass of m = 5.4 g. To what tension T must this wire be stretched so that its fundamental а. vibration possess a frequency f= 261.6 Hz? b. The equation of a plane sound wave is, y(x, t) = 6.0 × 10-6 sin(5.7x – 1500t). Find the frequency, the wavelength and the velocity of the wave. Compare the wavelength with the amplitude of the oscillations and the wave velocity with the amplitude of the velocity of the oscillations. What is the phase shift between the oscillations of two points 30.0 cm apart in the direction of the sound wave?arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning