34.. What is the longest wavelength (in cm) of a standing wave that could be produced on a string of length 16 cm? 35. The figure shows a standing wave on a string. 60 cm If the wave speed is 10 cm/s, what is its fundamental frequency (in Hz)?
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- 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)) ?What's the answer?Two students stand x meters apart with a rope stretched between them. One student moves her hand up and down 25 times in t seconds, which causes a standing wave with n total nodes to form. Sketch a picture of the standing wave that forms. n=6 2.What is the wavelength? x=5.0m 3. What is the wave frequency? t=10s 4. What is the wave period?
- As you are stopped for a traffic light an ambulance approaches you with a speed of 17 m/s. The ambulance's siren is emitting a sound wave with a frequency of 950 Hz. Consider the speed of sound to be 340 m/s and compute the frequency of the sound you hear. A.950 Hz B.1000 Hz C.1050 Hz D.1100 Hz E.1150 Hz5. a. The frequency of a standing wave on a string is f when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT3/T, b. Two identical strings vibrate at 500 Hz when stretched with the same tension. What percentage increase in the tension of one of the strings will cause five beats per second when both strings vibrate simultancously?20. A fire truck is moving at 45 m/s, and a car in front of the truck is moving in the same direction at 14 m/s. If a 438-Hz siren blares from the truck, what frequency is heard by the driver of the car at v = 343 m/s? No need to include the unit. Write your answer in whole numbers.