How do you calculate the Intensity level of 4 combined instruments if you know the decibel of each instrument? There are no values here, asking for the process but feel free to plug in numbers to solve this. Please be through with the process of explanation. Thank you!

The wave function that models a standing wave is given as yr(x,t)=6.00cmsin(3.00m1x+1.20rad)cos(6.00s1t+1.20rad) . What are two wave functions that interfere to form this wave function? Plot the two wave functions and the sum of the sum of the two wave functions at t=1.00 s to verify your answer.

A community is concerned about a plan to bring train service to their downtown from the town’s outskirts. The current sound intensity level, even though the rail yard is blocks away, is 70 dB downtown. The mayor assures the public that there will be a difference of only 30 dB in sound in the downtown area. Should the townspeople be concerned? Why?

Use the linear wave equation to show that the wave speed of a wave modeled with the wave function y(x,t)=0.20msin(3.00m1x+6.00s1t) is v=2.00 m/s. What are the wavelength and the speed of the wave?

Check Your Understanding The wave equation 2y(x,t)x2=1v22y(x,t)t2 works for any wave of the form y(x,t)=f(xvt) . In the previous section, we stated that a cosine function could also be used to model a simple harmonic mechanical wave. Check if the wave y(x,t)=0.50mcos(0.20m1x4.00s1t+10) is a solution to the wave equation. Any disturbance that complies with the wave equation can propagate as a wave moving along the x-axis with a wave speed v. It works equally well for waves on a string, sound waves, and electromagnetic waves. This equation is extremely useful. For example, it can be used to show that electromagnetic waves move at the speed of light.

Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and y2(x,t)=Acos(kxt+) . Use the trigonometric cosu+cosv=2cos(uv2)cos(u+v2) and cos()=cos() to find a wave equation for the wave resulting from the superposition of the two waves. Does the resulting wave function come as a surprise to you?

A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m1x0.90s1t+3) . Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.

A trumpet creates a sound intensity level of 1.15 102 dB at a distance of 1.00 m. (a) What is the sound intensity of a trumpet at this distance? (b) What is the sound intensity of five trumpets at this distance? (c) Find the sound intensity of five trumpets at the location of the first row of an audience, 8.00 m away, assuming, for simplicity, the sound energy propagates uniformly in all directions. (d) Calculate the decibel level of the five trumpets in the first row. (e) If the trumpets are being played in an outdoor auditorium, how far away, in theory, can their combined sound be heard? (f) In practice such a sound could not be heard once the listener was 2-3 km away. Why cant the sound be heard at the distance found in part (e)? Hint: In a very quiet room the ambient sound intensity level is about 30 dB.

Consider two waves defined by the wave functions y1(x,t)=0.20msin(26.00mx24.00st) and y2(x,t)=0.20mcos(26.00mx24.00st) . What are the similarities and differences between the two waves? frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.

Consider a diagnostic ultrasound of frequency 5.00 MHz that is used to examine an irregularity in soft tissue. (a) What is the wavelength in air of such a sound wave if the speed of sound is 343 m/s? (b) If the speed of sound in tissue is 1800 m/s, what is the wavelength of this wave in tissue?