# Example 6.1 1 ft lb / s ; W # Example 6.2 MKS(N, N m) E = 210 GPa len = 325 mm a = 7.854e-5 m^2 k = E * a / len del_len = 7.882e-5 m U = 0.5 * k * del_len^2; J # Example 6.3 w = 350000 lb v = 400 mph mass = w / grav() U = 0.5 * mass * v^2; ft lb; J # Example 6.4 w = 3000 lbf h = 50 ft t = 20 s work = w * h power = work / t; hp # Example 6.5 q = 98e6 btu h = 12.9e3 btu / lbm mass = q / h; ton # Example 6.6 p = 50 kW t = 1 hr h = 45 MJ / kg rho = 680 kg/m^3 work = p * t; kJ mass = work / h vol = mass / rho; gal # Example 6.7 d = 8 mm a = pi() * d^2 / 4 len = 15 cm vol = a * len rho = 76e3 N / m^3 w = rho * vol mass = w / grav() c = 0.5 kJ / degC kg t1 = 850 degC t0 = 600 degC q1 = mass * c * (t1 - t0); kJ t2 = 20 degC q2 = mass * c * (t0 - t2); kJ # Example 6.8 a = 3ft * 4 ft h = (1/8) in delT = 3 degFdiff k = 0.5 btu / hr ft degF t = 1 hr q = k * a * t * delT / h; J # Example 6.9 h = 100 m q = 500 m^3 / s t = 1 s rho = 1000 kg / m^3 mass = q * t * rho u = mass * grav() * h; MJ p_ave = u / t; MW # Example 6.10 mass = 1200 kg m_brake = 7 kg v = 100 kph f = 0.75 t1 = 25 degC c = 0.43 kJ / degC kg u = (1/2) * mass * v^2; kJ q_front = f * u; kJ t_new = q_front / (2 * m_brake * c) + t1; degC # Example 6.11 MKS(J) t1 = 1 s u = 0.9 kJ a = 1 m^2 eff = 0.26 a_mirror = 12 m^2 p = 3 MW t2 = 24 hr Temp1 = 25 degC Temp2 = 400 degC w = p * t1 q_needed = w / eff a_needed = q_needed / (u / a) n = a_needed / a_mirror eff2 = 1 - (Temp1 / Temp2) # Example 6.12 p = 1 GW f = 0.01 eff_scrub = 0.96 eff_power = 0.32 t1 = 1 day h = 30 MJ/kg w = p * t1; GJ q = w / eff_power; GJ m_coal = q / h m_sulfur = f * (1 - eff_scrub) * m_coal # Homework Problems: TBD