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Calculate the speed of the wave on the -(- 80 N 1/2 1/2 -2.00 x 102...
EXAMPLE 14.8 Harmonics of a Stretched Wire GOAL Calculate string harmonics, relate them to sound, and combine them with tensile stress. PROBLEM (a) Find the frequencies of the fundamental, second, and third harmonics of a steel wire 1.00 m long with a mass per unit length of 2.00 x 10-kg/m and under a tension of 80.0 N. (b) Find the wavelengths of the sound waves created by the vibrating wire for all three modes. Assume the speed of sound in...
A steel wire having a mass of 6.30 g and a length of 1.20 m is fixed at both ends and has a tension of 955 N. (a) Find the speed of transverse waves on the wire. 1 405 Incorrect: Your answer is incorrect. m/s (b) Find the wavelength of the fundamental. 2 m (c) Find the frequency of the fundamental. 3 Hz (d) Find the frequency of the second harmonic. 4 Hz (e) Find the frequency of the third...
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1) The fundamental frequency of a pipe that is open at both ends is 611 Hz. (Let the speed of sound be 344 m/s.) (a) How long is this pipe? (b) If one end is now closed, find the wavelength of the new fundamental. (c) If one end is now closed, find the frequency of the new fundamental. 2) A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is...
6. A wire has a mass of 4.6 g and a length of 1.5 m is fixed at both ends and has a tension of 893 N. (a) What is the speed (in m/s) of transverse waves on the wire. (b) Determine the wavelength (in m) and frequency (in Hz) of the fundamental. (c) What are the frequencies of the second in Hz) and fifth harmonics (in Hz).
1. A source moving with a speed 37 m/s, emits a sound wave with a frequency f = 377 Hz. Determine the frequency detected by a stationary observer if the speed of sound is v = 343 m/s and the source is moving towards the observer. 2.A stationary source, emits a sound wave with a frequency f = 428 Hz. Determine the frequency detected by an observer moving towards the source with a speed v = 43 m/s, if the...
SOLUTION (A) Find the frequencies if the pipe is open at both ends. _V 343 m/s Substitute into whole harmonics equation, with n = 1. 11-222(2.46 m) = 69.7 Hz Multiply to find the second and third harmonics. 12 - 27 - 139 Hz 13 = 3f7 - 209 Hz (B) How many harmonics lle between 20 Hz and 20000 Hz for this pipe? 343 m/s Set the frequency in the harmonics equation equal to 2.00 x 104 Hz and...
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1.0 Use X 2L/m and fo v/Am m (2) to solve these problems. For strings, the relationship fm 2V is also true. mn 2L 0.5! (w) 0.0 WWW -0.51 1. What is (a) the wavelength and (2) the mode of the standing wave in the figure of a vibrating string below? -1.01 -1.5 2 3 4 5 < (m) (w) 3. A string has a linear density of u 2.0 x 10-3...
1) What is the speed of sound waves in Antarctica if the temperature is -40.0°C? ____m/s 2) A certain musical instrument's string is 0.40 m long and has a μ = 0.002 kg/m. It is tuned to a fundamental frequency of 590 Hz. Calculate the tension in the string. _____N 3)The 6th harmonic of standing waves in a string of length L has a wavelength of 0.4417 m, while the 5th harmonic has a wavelength of 0.5300 m. Find L,...
The sound wave source moves away from a stationary listener at 80 m/s. The speed of sound is 340 m/s and the frequency of sound is 200 Hz. a) Find the wavelength of sound waves between the source and the listener. b) Find the frequency heard by the listener.
Guy wires used to support tall radio antennae often need to be kept at a specific tension or else the antennae may bend or buckle. The tension tends to decrease over time as the wire ages (and stretches) but on cold days, when the wire contracts, the tension increases. So, to keep the tension within tolerances, the tension in the wire is checked regularly and adjusted if it is found to be outside of tolerances. One way to check the...