akes a frec front of an open closed pipe. Assume room temperature is 20 degrees. a. What distances would allow standing waves to be produced, if the pipe is able to expand as shown? b. If a different tuning fork is used and the first position that makes a standing wave is 15.0 cm from the opening and the second is 45.0 cm, what is the frequency of this tuning fork? c. After working really hard on a hot day a third tuning fork is used with a frequency of 1053 Hz, and the distance between the 1" and 3d standing wave created is 33.0 cm, what is the temperature of the air in this pipe?

An airplane approaches at an altitude of 10 km flying at 600 km/hr. a. Jet engines typically emit sound over a wide spectrum of frequencies, with the maximum sound energy at 200 Hz. From this emitted sound, what frequency do you hear initially when it is 1 minute away, and what frequency do you hear 1 minute after it has passed by? b.  What would you  hear, and when would you hear it, if the plane were "hypersonic", traveling three times  the speed of sound, or "Mach 3"?  That's approximately the fastest  military aircraft in routine service today. To have higher speeds in air takes considerably more energy.  For example, after two and half minutes of flight,  when the first-stage main engines of the Space X Falcon shut down,  it is 80 kilometers high and moving at Mach 10 on its way to Earth orbit. The Mach number depends on the temperature of the air.

A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?

Research vessels at sea can create images of their surroundings by sending out sound waves and measuring the time until they detect echoes. This image of a shipwreck on the ocean bottom was made from the surface with 600 kHz ultrasound.a. What was the wavelength?b. How deep is the shipwreck if echoes were detected 0.42 s after the sound waves were emitted?