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NASA Guide to Engines

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NASA Guide to Engines ( nasa-guide-engines )

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Example problem: You are standing 50.0 m away from a jet engine where the SIL is measured at 130. dB. What is the power of the sound at that distance? Solution: SIL=10.0log I   10Iref Substituting values gives 130. dB = 10.0log I   10 1×10−12  Noise 13.0 dB = log10 I − log10 10−12 13.0 dB = log10 I − (−12.0) 1.00 dB = log10 I I = 10.0 W/m2 Since P = IA or P = I (4πr2) then P = (10.0)(4)(3.14)(50.0)2 P = 314,000 W PROBLEMS 1. Given a sound intensity of 3.143105 W/m2, what would the SIL be at a distance of 8050 m (5.00 mi)? 2. How far away would you need to be from a sound source with 2.503105 W of power in order to have the SIL be 75.0 dB? 3. An airplane baggage loader shouts to a coworker to try to be heard over engine noise. If the sound he produces has 3.10310–3 W power and the coworker is 5.00 m away, what is the sound intensity when it reaches the coworker? 4. How close to your coworker would you need to be to be able to shout above the whine of a jet if its SIL was 110. dB? 5. If the fan in a scale model engine rotates at 12,657 rpm and if it has 22 blades, what is the BPF? 6. Wavelength is related to frequency by the equation λ = c/ν. What is the wavelength of a tone from a BPF of 4640 cycles per second (4640 hertz, or Hz)? 68

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