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A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force required to compress this speakers spring is given by F = 1000x + 50 x³. Where x is the displacement from its unstretched length. Determine the work required W to compress a spring by 0.1 m. Where W = S F dx. The average voltage, vVavg, of a sinusoidal voice waveform fed into the speaker is found to be : Vavg V cos(wt + 0)dt Where, the voice signal is V cos(wt + 0) with a period T, a peak voltage V, an angular frequency w , and a phase 0. Evaluate vavg. There are multiple moving parts in a sound system that require lubrication. You need to use lubricants to ensure non-faulty operation of these mechanical parts. To choose a correct lubricant, you need to have a certain viscosity at 80 C. The viscosity of the lubricants, which is the resistance of the lubricant to deformation, is the most important property of lubricants and it is highly affected by the temperature as it reduces as temperature increases. The table below shows the measured viscosity of a specific lubricant oil at different temperatures. The viscosity decays at a rate proportional to the current viscosity. From the given data derive the expression of reduction of viscosity as a function of temperature. Comment whether you should use a negative/positive sign when deriving the expression. Then, estimate the viscosity at 80 C. Temperature, T (C) Viscosity, µ (Pa.s) 10 0.712 20 0.381 30 0.204 40 0.109 50 0.058

A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force required to compress this speakers spring is given by F = 1000x + 50 x³. Where x is the displacement from its unstretched length. Determine the work required W to compress a spring by 0.1 m. Where W = S F dx. The average voltage, vVavg, of a sinusoidal voice waveform fed into the speaker is found to be : Vavg V cos(wt + 0)dt Where, the voice signal is V cos(wt + 0) with a period T, a peak voltage V, an angular frequency w , and a phase 0. Evaluate vavg. There are multiple moving parts in a sound system that require lubrication. You need to use lubricants to ensure non-faulty operation of these mechanical parts. To choose a correct lubricant, you need to have a certain viscosity at 80 C. The viscosity of the lubricants, which is the resistance of the lubricant to deformation, is the most important property of lubricants and it is highly affected by the temperature as it reduces as temperature increases. The table below shows the measured viscosity of a specific lubricant oil at different temperatures. The viscosity decays at a rate proportional to the current viscosity. From the given data derive the expression of reduction of viscosity as a function of temperature. Comment whether you should use a negative/positive sign when deriving the expression. Then, estimate the viscosity at 80 C. Temperature, T (C) Viscosity, µ (Pa.s) 10 0.712 20 0.381 30 0.204 40 0.109 50 0.058

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force required to compress this speakers spring is given by F = 1000x + 50 x³. Where x is the displacement from its unstretched length. Determine the work required W to compress a spring by 0.1 m. Where W = S F dx. The average voltage, vVavg, of a sinusoidal voice waveform fed into the speaker is found to be : Vavg V cos(wt + 0)dt Where, the voice signal is V cos(wt + 0) with a period T, a peak voltage V, an angular frequency w , and a phase 0. Evaluate vavg. There are multiple moving parts in a sound system that require lubrication. You need to use lubricants to ensure non-faulty operation of these mechanical parts. To choose a correct lubricant, you need to have a certain viscosity at 80 C. The viscosity of the lubricants, which is the resistance of the lubricant to deformation, is the most important property of lubricants and it is highly affected by the temperature as it reduces as temperature increases. The table below shows the measured viscosity of a specific lubricant oil at different temperatures. The viscosity decays at a rate proportional to the current viscosity. From the given data derive the expression of reduction of viscosity as a function of temperature. Comment whether you should use a negative/positive sign when deriving the expression. Then, estimate the viscosity at 80 C. Temperature, T (C) Viscosity, µ (Pa.s) 10 0.712 20 0.381 30 0.204 40 0.109 50 0.058
Transcribed Image Text:A large speaker that you are planning to use, has a huge diaphragm connected to a spring, the force required to compress this speakers spring is given by F = 1000x + 50 x³. Where x is the displacement from its unstretched length. Determine the work required W to compress a spring by 0.1 m. Where W = S F dx. The average voltage, vVavg, of a sinusoidal voice waveform fed into the speaker is found to be : Vavg V cos(wt + 0)dt Where, the voice signal is V cos(wt + 0) with a period T, a peak voltage V, an angular frequency w , and a phase 0. Evaluate vavg. There are multiple moving parts in a sound system that require lubrication. You need to use lubricants to ensure non-faulty operation of these mechanical parts. To choose a correct lubricant, you need to have a certain viscosity at 80 C. The viscosity of the lubricants, which is the resistance of the lubricant to deformation, is the most important property of lubricants and it is highly affected by the temperature as it reduces as temperature increases. The table below shows the measured viscosity of a specific lubricant oil at different temperatures. The viscosity decays at a rate proportional to the current viscosity. From the given data derive the expression of reduction of viscosity as a function of temperature. Comment whether you should use a negative/positive sign when deriving the expression. Then, estimate the viscosity at 80 C. Temperature, T (C) Viscosity, µ (Pa.s) 10 0.712 20 0.381 30 0.204 40 0.109 50 0.058
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