A sinusoidal sound wave moves tHrough a medium and is described by the displacement wave function s(x, t) = 2.02 cos(16.2x – 888t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. pm (b) Find the wavelength of this wave. cm (c) Find the speed of this wave. m/s (d) Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.049 7 m at t = 2.99 ms. um (e) Determine the maximum speed of a element's oscillatory motion. mm/s

A sinusoidal sound wave moves tHrough a medium and is described by the displacement wave function s(x, t) = 2.02 cos(16.2x – 888t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. pm (b) Find the wavelength of this wave. cm (c) Find the speed of this wave. m/s (d) Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.049 7 m at t = 2.99 ms. um (e) Determine the maximum speed of a element's oscillatory motion. mm/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The loudness of sound can be measured on a decibel scale. The sound level L (in decibels) of a sound is given by 0-12 W/m². The L=10 log where I is the intensity of the sound (in watts per square meter, W/m²) and I = 10 1 intensity, I, of a whisper is 10-10 W/m². Find the decibel value of this sound. The decibel value of this sound is. (Simplify your answer. Type an integer or a fraction.) GEREID
Suppose a wave whose expression is given as y(t) = Asin(2πFt) , where y is the vertical displacement of the wave and t is time in seconds. The wave completes one cycle in 20 milliseconds. Find the amplitude of the wave if the vertical displacement of the wave at time t = 8 ms is 5.
A wave I represented by the equation y = 0.025 cos(3.14x - 62.8t), where distances are in meters and time is in seconds. Find the amplitude, the speed, the wavelength, and the frequency of the wave. Find the displacement at time t = 0.1 s at a point x = 0.5 m.
A ship uses sonar to determine the depth of the seafloor. If the time between the emission of the wave and its return to the sonar is 4.2 s, what is the depth? Sound speed = 343 m/s
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a frequency of 64.0 kHz, and if the speed of sound in air is 340 m/s, what is the smallest insect a bat can detect?
Problem 5: A traveling wave along the x-axis is given by the following wave function w(x, t) = 4.3 cos(2.7x - 8.8t + 0.38), where x in meter, t in seconds, and w in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a) The amplitude in meters. a = sin() cos() tan() 7 8 HOME cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1 2 cosh() tanh() cotanh) +| - END ODegrees O Radians vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second. Part (e) The phase constant in radians.
A bat emits a sound whose frequency is 81.8 kHz. The speed of sound in air at 20.0 oC is 343 m/s. However, the air temperature is 41.8 oC, so the speed of sound is not 343 m/s. Assume that air behaves like an ideal gas, and find the wavelength of the sound.
A sound wave is modeled with the wave function ΔP = 1.20 Pa sin (kx − 6.28 × 104 s−1 t) and the sound wave travels in air at a speed of v = 343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for ΔP(3.00 m, 20.00 s) ?
A sound wave in air has a displacement described by s(x, t) = 1.87 cos (16.1x – 854t) where s is in micrometers and t in seconds. Find the length of the sound wavelength. © 2.50 μm 39.0 cm 2.56 cm 1.87 μη
A sound wave propagating in the air has a frequency of 3.79 kHz. Calculate the change in wavelength when the wave, initially traveling in a region where T = 27.0°C, enters a region where T = 15.0°C.
A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(x/L−t/τ)], where B = 6.30 mm, LLlambda = 30.0 cm, and τ = 3.20×10−2 ss. Determine the wave's amplitude. Express your answer in meters. Determine the wave's wavelength. Express your answer in meters. Determine the wave's frequency. Express your answer in hertzes . Determine the wave's speed of propagation. Express your answer in meters per second. Determine the wave's direction of propagation. +x or -x?
The displacement of a wave traveling in the positive xx-direction is y(x,t)=(3.5cm)cos(2.7x−92t)y(x,t)=(3.5cm)cos⁡(2.7x−92t), where x is in m and t is in s.What is the speed of this wave? Express your answer in meters per second.