An engineering student measures an ambient lab pressure and temperature of 405.35 in. H2O and 70.5 F, respectively and wind tunnel dynamic presssure of 1.056 kN/m^2. Assume that R_air = 287.04 J/(kg*K) Determine with the correct number of significant fiugres (a) the room density using the perfect gas law in SI units and (b) the wind tunnel velocity using Bernoulli's equation in units of ft/s. Bernoulli's equation states that for irrotational, incompressible flow the dtynamic pressure equals one-half the product of the density times the square of the velocity.