All Matches

Solution Library

Expert Answer

Textbooks

Search Textbook questions, tutors and Books

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Tutors
Study Help
Hire a Tutor
AI Study Help New

Search
Sign In
Register

study help
physics
oscillations mechanical waves

Questions and Answers of Oscillations Mechanical Waves

Transverse pulses travel with a speed of 200 m/s along a taut copper wire whose diameter is 1.50 mm. What is the tension in the wire? (The density of copper is 8.92 g/cm3.)
Transverse waves travel with a speed of 20.0 m/s in a string under a tension of 6.00 N. What tension is required for a wave speed of 30.0 m/s in the same string?
A simple pendulum consists of a ball of mass M hanging from a uniform string of mass m and length L, with m
The elastic limit of the steel forming a piece of wire is equal to 2.70 X 108 Pa. What is the maximum speed at which transverse wave pulses can propagate along this wire without exceeding this
A light string with a mass per unit length of 8.00 g/m has its ends tied to two walls separated by a distance equal to three fourths of the length of the string (Fig. P16.30)An object of mass m is
A 30.0-m steel wire and a 20.0-m copper wire both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. How long does it take a transverse wave to travel the entire
A light string of mass m and length L has its ends tied to two walls that are separated by the distance D. Two objects, each of mass M, are suspended from the string as in Figure P16.32. If a wave
A student taking a quiz finds on a reference sheet the two equations f = 1 / T and v = √T / μ She has forgotten what T represents in each equation. (a) Use dimensional analysis to
A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope in order to generate sinusoidal waves having amplitude of 0.100 m and a wavelength of 0.500 m and
A two-dimensional water wave spreads in circular ripples. Show that the amplitude A at a distance r from the initial disturbance is proportional to 1 / r. (Suggestion: Consider the energy carried by
Transverse waves are being generated on a rope under constant tension. By what factor is the required power increased or decreased if (a) The length of the rope is doubled and the angular frequency
Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass density of 4.00 - 10"2 kg/m. If the source can deliver a maximum power of 300W and the string is
It is found that a 6.00-m segment of a long string contains four complete waves and has a mass of 180 g. The string is vibrating sinusoidally with a frequency of 50.0 Hz and a peak-to-valley distance
A sinusoidal wave on a string is described by the equation y = (0.15 m) sin(0.80x ─ 50t) Where x and y are in meters and t is in seconds. If the mass per unit length of this string is 12.0
The wave function for a wave on a taut string is y(x, t) = (0.350 m) s in (10πt - 3πx + π/4) where x is in meters and t in seconds. (a) What is the average rate at which energy is
A horizontal string can transmit a maximum power PO (without breaking) if a wave with amplitude A and angular frequency ' is traveling along it. In order to increase this maximum power, a student
In a region far from the epicenter of an earthquake, a seismic wave can be modeled as transporting energy in a single direction without absorption, just as a string wave does. Suppose the seismic
(a) Evaluate A in the scalar equality (7 + 3) 4 = A. (b) Evaluate A, B, and C in the vector equality 7.00i + 3.00k = Ai + Bj + Ck. Explain how you arrive at the answers to convince a student who
Show that the wave function y = eb(x─vt) is a solution of the linear wave equation (Eq. 16.27), where b is a constant.
Show that the wave function y = In [b(x ─vt)] is a solution to Equation 16.27, where b is a constant.
(a) Show that the function y(x, t) = x2 + v2t2 is a solution to the wave equation. (b) Show that the function in part (a) can be written as f (x # vt) # g(x " vt), and determine the functional
€œThe wave€ is a particular type of pulse that can propagate through a large crowd gathered at a sports arena to watch a soccer or American football match (Figure P16.47). The
A traveling wave propagates according to the expression y = (4.0 cm) sin (2.0x ─ 3.0t), where x is in centimeters and t is in seconds. Determine (a) The amplitude, (b) The wavelength, (c)
The wave function for a traveling wave on a taut string is (in SI units) y(x, t) = (0.350 m) sin (10πt ─ 3πx + π/4) (a) What are the speed and direction of travel of the
A transverse wave on a string is described by the equation y(x, t) = (0.350 m) sin (1.25 rad/m)x + (99.6 rad/s)t] Consider the element of the string at x ! 0. (a) What is the time interval between
Motion picture film is projected at 24.0 frames per second. Each frame is a photograph 19.0 mm high. At what constant speed does the film pass into the projector?
A block of mass M, supported by a string, rests on an incline making an angle θ with the horizontal (Fig. P16.52). The length of the string is L, and its mass is m
A 2.00-kg block hangs from a rubber cord, being supported so that the cord is not stretched. The unstretched length of the cord is 0.500 m, and its mass is 5.00 g. The “spring constant” for the
A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L0 and its mass is m, much less than M. The “spring
(a) Determine the speed of transverse waves on a string under a tension of 80.0 N if the string has a length of 2.00 m and a mass of 5.00 g. (b) Calculate the power required to generate these waves
A sinusoidal wave in a rope is described by the wave function y = (0.20 m) sin (0.75πx + 18πt) Where x and y are in meters and t is in seconds. The rope has a linear mass density of
A block of mass 0.450 kg is attached to one end of a cord of mass 0.003 20 kg; the other end of the cord is attached to a fixed point. The block rotates with constant angular speed in a circle on a
A wire of density 0 is tapered so that its cross-sectional area varies with x according to A = (1.0 X 10─3 x + 0.010) cm2 (a) If the wire is subject to a tension T, derive a relationship
A rope of total mass m and length L is suspended vertically. Show that a transverse pulse travels the length of the rope in a time interval Δt = 2√Lig. (Suggestion: First find an
If an object of mass M is suspended from the bottom of the rope in Problem 59, (a) Show that the time interval for a transverse pulse to travel the length of the rope is Δt = 2 √L/ mg
It is stated in Problem 59 that a pulse travels from the bottom to the top of a hanging rope of length L in a time interval Δt = 2√L/g. Use this result to answer the following questions.
Determine the speed and direction of propagation of each of the following sinusoidal waves, assuming that x and y are measured in meters and t in seconds (a) y = 0.60 cos(3.0x ─ 15t + 2) (b)
An aluminum wire is clamped at each end under zero tension at room temperature. The tension in the wire is increased by reducing the temperature, which results in a decrease in the wire’s
If a loop of chain is spun at high speed, it can roll along the ground like a circular hoop without slipping or collapsing. Consider a chain of uniform linear mass density μ whose center of mass
(a) Show that the speed of longitudinal waves along a spring of force constant k is v = √kL/μ, where L is the unstretched length of the spring and + is the mass per unit length. (b) A
A string of length L consists of two sections. The left half has mass per unit length μ = μ0/2, while the right has a mass per unit length μ = 3μ = 3μ0/2. Tension in the
A pulse traveling along a string of linear mass density μ is described by the wave function y = [A0e─bx] sin (kx ─ wt) Where the factor in brackets before the sine function is
An earthquake on the ocean floor in the Gulf of Alaska produces a tsunami (sometimes incorrectly called a “tidal wave”) that reaches Hilo, Hawaii, 4 450 km away, in a time interval of 9 h 30 min.
A string on a musical instrument is held under tension T and extends from the point x = 0 to the point x = L. The string is over wound with wire in such a way that its mass per unit length μ(x)
Suppose that you hear a clap of thunder 16.2 s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s, and the speed of light is 3.00 X 108 m/s. How far are you
Find the speed of sound in mercury, which has a bulk modulus of approximately 2.80 X 1010 N/m2 and a density of 13 600 kg/m3.
A flowerpot is knocked off a balcony 20.0 m above the sidewalk and falls toward an unsuspecting 1.75-m-tall man who is standing below. How close to the sidewalk can the flower pot fall before it is
The speed of sound in air (in m/s) depends on temperature according to the approximate expression v = 331.5 + 0.607TC where TC is the Celsius temperature. In dry air the temperature decreases about
A cowboy stands on horizontal ground between two parallel vertical cliffs. He is not midway between the cliffs. He fires a shot and hears its echoes. The second echo arrives 1.92 s after the first
A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat’s crew blows a loud horn. By the time the plane’s sound
A bat (Fig P17.7) can detect very small objects, such as an insect whose length is approximately equal to one wavelength of the sound the bat makes. If a bat emits chirps at a frequency of 60.0 kHz,
An ultrasonic tape measure uses frequencies above 20 MHz to determine dimensions of structures such as buildings. It does this by emitting a pulse of ultrasound into air and then measuring the time
Ultrasound is used in medicine both for diagnostic imaging and for therapy. For diagnosis, short pulses of ultrasound are passed through the patient’s body. An echo reflected from a structure of
A sound wave in air has a pressure amplitude equal to 4.00 x 10-3 N/m2. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
A sinusoidal sound wave is described by the displacement wave function s(x, t) = (2.00 μm) cos[(15.7 m-1)x - (858 s-1)t] (a) Find the amplitude, wavelength, and speed of this wave. (b)
As a certain sound wave travels through the air, it produces pressure variations (above and below atmospheric pressure) given by ΔP = 1.27 sin (πx ─ 340πt) in SI units. Find
Write an expression that describes the pressure variation as a function of position and time for a sinusoidal sound wave in air, if A # 0.100 m and ΔPmax = 0.200 N/m2.
Write the function that describes the displacement wave corresponding to the pressure wave in Problem 13.
An experimenter wishes to generate in air a sound wave that has displacement amplitude of 5.50 X 10─6 m. The pressure amplitude is to be limited to 0.840 N/m2. What is the minimum wavelength
The tensile stress in a thick copper bar is 99.5% of its elastic breaking point of 13.0 X 1010 N/m2. If a 500-Hz sound wave is transmitted through the material, (a) What displacement amplitude will
Prove that sound waves propagate with a speed given by Equation 17.1. Proceed as follows. In Figure 17.3, consider a thin cylindrical layer of air in the cylinder with face area A and thickness
The area of a typical eardrum is about 5.00 X 10─5 m2. Calculate the sound power incident on an eardrum at (a) the threshold of hearing and (b) The threshold of pain.
Calculate the sound level in decibels of a sound wave that has an intensity of 4.00 "W/m2.
A vacuum cleaner produces sound with a measured sound level of 70.0 dB. (a) What is the intensity of this sound in W/m2? (b) What is the pressure amplitude of the sound?
The intensity of a sound wave at a fixed distance from a speaker vibrating at 1.00 kHz is 0.600 W/m2. (a) Determine the intensity if the frequency is increased to 2.50 kHz while a constant
The intensity of a sound wave at a fixed distance from a speaker vibrating at a frequency f is I. (a) Determine the intensity if the frequency is increased to f while constant displacement amplitude
The most soaring vocal melody is in Johann Sebastian Bach’s Mass in B minor. A portion of the score for the Credo section, number 9, bars 25 to 33, appears in Figure P17.23. The repeating syllable
The tube depicted in Figure 17.2 is filled with air at 20°C and equilibrium pressure 1 atm. The diameter of the tube is 8.00 cm. The piston is driven at a frequency of 600 Hz with an amplitude of
A family ice show is held at an enclosed arena. The skaters perform to music with level 80.0 dB. This is too loud for your baby, who yells at 75.0 dB. (a) What total sound intensity engulfs you?
Consider sinusoidal sound waves propagating in these three different media: air at 0°C, water, and iron. Use densities and speeds from Tables 14.1 and 17.1. Each wave has the same intensity I0 and
The power output of a certain public address speaker is 6.00 W. Suppose it broadcasts equally in all directions. (a) Within what distance from the speaker would the sound be painful to the ear?
Show that the difference between decibel levels B1 and B2 of a sound is related to the ratio of the distances r1 and r2 from the sound source by B2 ─ B2 = 20 log (r1/r2)
A firework charge is detonated many meters above the ground. At a distance of 400 m from the explosion, the acoustic pressure reaches a maximum of 10.0 N/m2. Assume that the speed of sound is
A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.0 dB and the other records a sound level of 80.0 dB, how
Two small speakers emit sound waves of different frequencies. Speaker A has an output of 1.00 mW, and speaker B has an output of 1.50 mW. Determine the sound level (in dB) at point C (Fig. P17.31) if
A jackhammer, operated continuously at a construction site, behaves as a point source of spherical sound waves. A construction supervisor stands 50.0 m due north of this sound source and begins to
The sound level at a distance of 3.00 m from a source is 120 dB. At what distance will the sound level be (a) 100 dB and (b) 10.0 dB?
A fireworks rocket explodes at a height of 100 m above the ground. An observer on the ground directly under the explosion experiences an average sound intensity of 7.00 X 10─2 W/m2 for 0.200 s.
As the people sing in church, the sound level everywhere inside is 101 dB. No sound is transmitted through the massive walls, but all the windows and doors are open on a summer morning. Their total
The smallest change in sound level that a person can distinguish is approximately 1 dB. When you are standing next to your power lawnmower as it is running, can you hear the steady roar of your
A train is moving parallel to a highway with a constant speed of 20.0 m/s. A car is traveling in the same direction as the train with a speed of 40.0 m/s. The car horn sounds at a frequency of 510
Expectant parents are thrilled to hear their unborn baby’s heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus’s ventricular wall moves in simple harmonic motion with
Standing at a crosswalk, you hear a frequency of 560 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 480 Hz. Determine the ambulances
A block with a speaker bolted to it is connected to a spring having spring constant k = 20.0 N/m as in Figure P17.40. The total mass of the block and speaker is 5.00 kg, and the amplitude of this
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? Take the
At the Winter Olympics, an athlete rides her luge down the track while a bell just above the wall of the chute rings continuously. When her sled passes the bell, she hears the frequency of the bell
A siren mounted on the roof of a firehouse emits sound at a frequency of 900 Hz. A steady wind is blowing with a speed of 15.0 m/s. Taking the speed of sound in calm air to be 343 m/s, find the
The Concorde can fly at Mach 1.50, which means the speed of the plane is 1.50 times the speed of sound in air. What is the angle between the direction of propagation of the shock wave and the
When high-energy charged particles move through a transparent medium with a speed greater than the speed of light in that medium, a shock wave, or bow wave, of light is produced. This phenomenon is
The loop of a circus ringmaster’s whip travels at Mach 1.38 (that is, vS/v = 1.38). What angle does the shock wave make with the direction of the whip’s motion?
A supersonic jet traveling at Mach 3.00 at an altitude of 20 000 m is directly over a person at time t = 0 as in Figure P17.47.(a) How long will it be before the person encounters the shock wave?(b)
This problem represents a possible (but not recommended) way to code instantaneous pressures in a sound wave into 16-bit digital words. Example 17.2 mentions that the pressure amplitude of a 120-dB
Only two recording channels are required to give the illusion of sound coming from any point located between two speakers of a stereophonic sound system. If the same signal is recorded in both
Assume that a loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103 dB at a distance of 1.60 m from its center. (a) Find its sound power output. (b) If the
A large set of unoccupied football bleachers has solid seats and risers. You stand on the field in front of the bleachers and fire a starter’s pistol or sharply clap two wooden boards together
Many artists sing very high notes in ad lib ornaments and cadenzas. The highest note written for a singer in a published score was F-sharp above high C, 1.480 kHz, for Zerbinetta in the original
A sound wave in a cylinder is described by Equations 17.2 through 17.4. Show that ΔP = ± pvw √s2max ─s2.
On a Saturday morning, pickup trucks and sport utility vehicles carrying garbage to the town dump form a nearly steady procession on a country road, all traveling at 19.7 m/s. From one direction, two
The ocean floor is underlain by a layer of basalt that constitutes the crust, or uppermost layer, of the Earth in that region. Below this crust is found denser periodotite rock, which forms the
For a certain type of steel, stress is always proportional to strain with Young’s modulus as shown in Table 12.1. The steel has the density listed for iron in Table 14.1. It will fail by bending

Showing 100 - 200 of 2092

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Last

Services

Sitemap
Fun
Definitions
Become Tutor
Study Help Categories
Recent Questions
Expert Questions

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Campus Ambassador

Secure Payment

Download Our App

© 2024 SolutionInn. All Rights Reserved