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exam 3 notecard

# exam 3 notecard - Fluids P(N/m 2 = F/A Patm = 1.01e5 Pa...

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Fluids P ( N / m 2 ) = F / A P atm = 1.01e 5 Pa P absolute = P gauge + P atm Density ( ) = ρ m / v Pressure at a depth: P = P o + ( ) ρ (g)(h) Buoyancy & archimedes principle Floating object: Immersed object: Buoyant force = weight of fluid displaced by object F B = ( ρ L )(v) (g) Flow rate Q (m 3 / s ) = (velocity) (area) Bernoulli’s equation: P 1 + (1/2) v ρ 1 2 + gh ρ 1 = P 2 + (1/2) v ρ 2 2 + gh ρ 2 Flow rate = constant Q 1 = Q 2 V 1 A 1 = v 2 A 2 Harmonic motion & elasticity Frequency = 1 /Period Simple harmonic motion: Y coordinate = Asin(wt) X coordinate = Acos(wt) W = 2 f π π Angular displacement: = wt Ѳ π T = 2 /w π π f = w/2 π π springs: F spring = -kx Frequency for simple harmonic motion: f = (1/2 ) ( π √ k/m) simple pendulum: f = (1/2 ) (g/l) π √ π Torsional oscillator: Torque directly proportional to twist angle Ѳ π = -k τ Ѳ π k = torsion constant f = (1/2 ) (k/ π √ I) stress, strain, Hooke’s law hooke’s law: F = -kx Tensile strain and stress: Tensile stress = F/A Tensile strain= L/L Δ o Force perpen dicular to area Tensile stress = young’s modulu s x tensile strain F/ A = y ( Δ L/ L o )

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exam 3 notecard - Fluids P(N/m 2 = F/A Patm = 1.01e5 Pa...

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