Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Conservation of Energy
In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…
Question
c. Derive the piston instantaneous acceleration as a function of the crank angle. . Piston Acceleration Speed dUp dUp d de dt dᎾ - (a sin(0) [1. + = @= cos(0) √R²-sin²( Son ² (1)D) w ²
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Transcribed Image Text:c. Derive the piston instantaneous acceleration as a function of the crank angle. . Piston Acceleration Speed dUp dUp d de dt dᎾ - (a sin(0) [1. + = @= cos(0) √R²-sin²( Son ² (1)D) w ²
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Step 1: Determine the given variables:
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Step 2: Find the expression for the piston velocity with respect to the crank angle:
VIEW
Step 3: Differentiate the expression with respect to θ:
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Step 4: Differentiate sin(θ) and apply the chain rule to differentiate further:
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Step 5: Simplify the expression:
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Step 6: Combine like terms:
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Step 7: Cancel out suitable terms from the numerator and denominator:
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Step 8: Use the chain rule to differentiate the above expression with respect to time (t):
VIEW
Solution
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