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Energy in Mechanical and Fluid Systems II

Learn about concepts such as gravitational potential energy and elastic potential energy in mechanical and fluid systems. Explore topics like elasticity, equilibrium position, spring constant, and simple harmonic motion. Understand Bernoulli's principle and equation to comprehend the relationship between fluid velocity and pressure.

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Energy in Mechanical and Fluid Systems II

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  1. Energy in Mechanical and Fluid Systems II 5.2

  2. Gravitational Potential Energy A. PEg = mgh B. Gravitational potential energy = (mass)(gravitational acceleration)(height)

  3. Elastic Potential Energy A. Elasticity—an object’s or material’s tendency to return to its original shape after being stretched. B. Equilibrium position—unstretched position C. Spring constant (k)—force per unit distance D. PEelastic = ½ kx2 E. Elastic Potential Energy = ½ (spring constant)(spring displacement)2

  4. F. Simple Harmonic Motion—spring alternately converting potential and kinetic energies. G. Examples of Elastic Potential Energy 1. Compressed golf ball 2. Bow and stretched string 3. Bent pole of pole vaulter 4. Rubber band

  5. III. Bernoulli’s Principle and Equation A. As the velocity of a fluid increases, the pressure in the fluid decreases. B. P1 + ρgh1 + ½ ρv12 = P2 + ρgh2 + ½ ρv22

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