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Problem 1: A cable helping to support a bridge is tested and found to resonate at...
6. (3 pts.) A long submerged support leg of a bridge will experience vortex shedding when a river...
6. (3 pts.) A long submerged support leg of a bridge will experience vortex shedding when a river current flows past it. These vortices can create damaging periodic forces so you want to do a scale model test in a water tunnel as part of the initial bridge design. A dimensional analysis on this phenomenon reveals the following Pi terms: where ω shedding frequency, V-fluid velocity, p-fluid density,μ fluid viscosity and D and H are as shown. For the specific...
Guy wires used to support tall radio antennae often need to be kept at a specific...
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...
Guy wires used to support tall radio antennae often need to be kept at a specific...
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...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled with a gas with speed of sound v. The pipe is excited in some fashion in order to produce standing waves. (a) Sketch the standing wave pattern for the four lowest frequencies supported by this pipe. Label the nodes and antinodes. (b) Make a table of the wavelengths and frequencies of the sound waves that are formed by these four excitations, in terms of...
#4 (will rate) 1) The fundamental frequency of a pipe that is open at both ends...
#4
(will rate)
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...
SOLUTION (A) Find the frequencies if the pipe is open at both ends. _V 343 m/s...
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...
I know how to do the first 3 parts. Need last 3 parts of the question....
I know how to do the first 3 parts. Need last 3 parts of the question. Posted whole thing for reference. Thanks! a) A 1 meter long guitar string of linear mass density 2g/m3 is put under tension until it resonates with a fundamental frequency of 440 Hz. Determine the tension that produces this fundamental frequency. Also determine the other of the first four harmonic frequencies and draw diagrams illustrating what each of these oscillations looks like on the string....
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The wid...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
6. (3 pts.) A long submerged support leg of a bridge will experience vortex shedding when a river current flows past it. These vortices can create damaging periodic forces so you want to do a scale model test in a water tunnel as part of the initial bridge design. A dimensional analysis on this phenomenon reveals the following Pi terms: where ω shedding frequency, V-fluid velocity, p-fluid density,μ fluid viscosity and D and H are as shown. For the specific...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled with a gas with speed of sound v. The pipe is excited in some fashion in order to produce standing waves. (a) Sketch the standing wave pattern for the four lowest frequencies supported by this pipe. Label the nodes and antinodes. (b) Make a table of the wavelengths and frequencies of the sound waves that are formed by these four excitations, in terms of...
#4
(will rate)
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...
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...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
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