Basic Math, Physical Quantities, SI Units, Atoms, and Matter SOLVE FOR: EQUATION KEY Body Mass Index BMI = weight/height Bmi = body mass index Weight = kg Height = m^2 Half-Life t ½ = In2 / ke t ½ = half-life In 2 = 0.693 ke = elimination constant Force F=mxa F = force m= mass a=acceleration Weight w= m x g w=weight m=mass g= acceleration due to gravity (9.81) Pressure Difference of Sphere ΔP = (2 x Tsph) / R ΔP = pressure difference of sphere Tsph = surface tension R = radius Pressure Difference of a Cylinader ΔP = Tcyl / R ΔP = pressure difference of cylinader Tcyl = surface tension R = radius Arterial and Capillary Wall Tension T=PxR T = tension P = internal pressure R = radius Energy, Power, Temperature, and Heat SOLVE FOR: EQUATION KEY Work W=Fxd W = work F = force d= distance Power P = W/T P = power W = work T = time Pressure P = F/A P = pressure F = force A = area Compliance C = ΔV / ΔP C = compliance ΔV = change in volume ΔP = change in pressure Heat Q = mcΔT Q = heat m= mass c= specific heat capacity ΔT = change in temperature Specific Heat Capacity c = ΔE / mΔT c= specific heat capacity ΔE = energy required m=mass ΔT = change in temperature Stored Energy ΔU = Q - W ΔU = stored energy Q = heat W = wok Entropy ΔS = ΔQ / T ΔS = change in entropy ΔQ = heat entering the system T = temperature Waves SOLVE FOR EQUATION KEY Frequency f = 1/T f = frequency (hz) T = time (sec) Velocity of Wave v =fxλ v = velocity f = frequency (hz) λ = wavelength Energy of a Photon E = hv E = energy of a photon h= 6.6x10^-34 f= frequency (hz) Intensity I = P / 4𝝅r^2 I = intensity P = radiant flux r = distance from the source SOLVE FOR EQUATION KEY Pressure P = F/A P = pressure F = force A = area Liquid Pressure P=pxgxh P = pressure p = liquid density g = acceleration due to gravity (9.81) h = height Mean Arterial Pressure MAP = {(2xDBP) + SBP} / 3 MAP = mean arterial pressure DBP = diastolic blood pressure SBP = systolic blood pressure Pressure Measurements Humidity SOLVE FOR EQUATION KEY Relative Humidity RH = (AVD / SVD) x 100% RH = relative humidity AVD = actual vapor density SVD = saturation vapor density Measurement of Gas Flow SOLVE FOR EQUATION KEY Flow Q = V/T Q = flow V = change in volume T = time interval over which flow is measured Conservation of Flow A1 x V1 = A2 x V2 A = cross sectional area (cm^2) V = velocity of fluid at each point Laminar Flow Q = ΔP/R Q = flow ΔP = driving pressure R = flow resistance Resistance R = 8uL/ 𝜋r^4 L = length of the tube u = dynamic viscosity r = radius of tube Reynolds Number Re = (2rvp) / u r = radius v = velocity p= fluid density u= viscosity Re = inertia forces / viscous forces