An experiment is being designed to measure aerodynamic forces on a building. the model is a 1/550 scale replica of the prototype. the wind velocity on the prototype is 58 ft/s, and the density is 0.0024 slugs/ft^3. the maximum velocity in the wind tunnel is 300 ft/s. the viscosity of the air flowing for the model and the prototype is the same. (a) find the density needed in the wind tunnel for dynamic similarity. (b) a force of 50 lbf is measured on the model. what will the force be on the prototype?