# Example 2.1 m1 = 1 kg a = 9.75 m/s^2 F1 = m1 * a ; N # Example 2.1E m1 = 1 lbm a = 32.0 ft /s^2 F1 = m1 * a ; lbf # Example 2.2 Vgranite = 0.12 m^3 Vsand = 0.15 m^3 Vwater = 0.20 m^3 Vair = 0.53 m^3 rgranite = 2750 kg/m^3 rsand = 1500 kg/m^3 rwater = 997 kg/m^3 rair = 1.15 kg/m^3 Vtotal = Vgranite + Vsand + Vwater + Vair ; m^3 mgranite = rgranite * Vgranite ; kg msand = rsand * Vsand ; kg mwater = rwater * Vwater ; kg mair = rair * Vair ; kg mtotal = mgranite + msand + mwater + mair ; kg n = Vtotal / mtotal ; m^3/kg r = mtotal / Vtotal ; kg/m^3 # Example 2.3 Dcyl = 0.10 m Drod = 0.01 m m1 = 25.0 kg Patm = 101 kPa Phyd = 250 kPa Acyl = pi() * Dcyl^2 / 4 ; mm^2 Arod = pi() * Drod^2 / 4 ; mm^2 Frod = Phyd * Acyl - Patm * (Acyl - Arod) - m1 * grav() ; N # Example 2.4 rmerc = 13590 kg/m^3 H0 = 24.00 cm Habs = 750.00 mm DP = rmerc * grav() * H0 ; kPa Pabs = rmerc * grav() * Habs ; kPa Pvessel = Pabs + DP ; atm # Example 2.4E rmerc = 848.0 lbm / ft^3 H0 = 9.50 in Habs = 29.50 in DP = rmerc * grav() * H0 ; lbf/in^2 Pabs = rmerc * grav() * Habs ; lbf/in^2 Pvessel = Pabs + DP ; lbf/in^2 # Example 2.5 rgas = 750.0 kg/m^3 H0 = 7.50 m Ptop = 101.00 kPa DP = rgas * grav() * H0 ; kPa Ptotal = Ptop + DP ; kPa # Example 2.5 rrefridge = 1206.0 kg/m^3 H0 = 7.50 m Ptop = 1.00 MPa DP = rrefridge * grav() * H0 ; kPa Ptotal = Ptop + DP ; kPa # Example 2.6 P0 = 100.0 kPa A1 = 0.01 m^2 F1 = 25.00 kN A2 = 0.05 m^2 H0 = 6.00 m r = 900.0 kg/m^3 P1 = P0 + F1 / A1 ; kPa DP = r * grav() * H0 ; kPa P2 = P1 - DP ; kPa F2 = (P2 - P0) * A2 ; kN # Homework Problems: TBD