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Unformatted text preview: Fluids P ( N / m 2 ) = F / A P atm = 1.01e 5 Pa P absolute = P gauge + P atm Density ( ) = m / v Pressure at a depth: o P = P o + ( ) (g)(h) Buoyancy & archimedes principle o Floating object: o Immersed object: o Buoyant force = weight of fluid displaced by object F B = ( L )(v) (g) Flow rate o Q (m 3 / s ) = (velocity) (area) Bernoullis equation: o P 1 + (1/2) v 1 2 + gh 1 = P 2 + (1/2) v 2 2 + gh 2 o Flow rate = constant Q 1 = Q 2 V 1 A 1 = v 2 A 2 Harmonic motion & elasticity Frequency = 1 /Period Simple harmonic motion: o Y coordinate = Asin(wt) o X coordinate = Acos(wt) o W = 2 f Angular displacement: o = wt o T = 2 /w o f = w/2 springs: o F spring = -kx o Frequency for simple harmonic motion: f = (1/2 ) ( k/m) simple pendulum: o f = (1/2 ) (g/l) Torsional oscillator: o Torque directly proportional to twist angle o = -k o k = torsion constant o f = (1/2 ) (k/ I) stress, strain, Hookes law o hookes law: F = -kx o Tensile strain and stress: Tensile stress = F/A Tensile strain= L/L o Force perpen dicular to area Tensile stress = youngs modulu s x tensile strain o F/ A = y ( L/ L o ) Shear stress and strain o Shear stress = F/ A o Shear strain = x/ L o o force parallel to area o shear stress = shear modulus x shear strain F/A = S ( x/L o ) Harmonic motion and energy: o Amplitude (A) = max displacemen t o P.E. spring = (1/2)kx 2 If x=x max = A then, P.E....
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- Spring '11