Part A - Calculate a Reynolds number Learning Goal: To calculate Reynolds numbers, Froude numbers, and Mach numbers. There are some dimensionless numbers that occur frequently in fluid mechanics. Three of the most common are the Reynolds number, Froude number, and Mach number. The Reynolds number is the ratio of the inertial forces to the viscous forces in pVL a system. This ratio is expressed as Re = 1, where p is the fluid density, V is a representative velocity, L is a representative length, and is the dynamic viscosity. The Reynolds number is strongly related to whether or not a fluid flow is laminar or turbulent. The Froude number is the square root of the ratio of inertial forces to gravitational forces. The ratio can be written as Fr = , where V is a representative velocity, L is a representative length, and g is the acceleration due to gravity. This ratio is important in flows with a free surface. The denominator can also be interpreted as the speed of waves on the free surface. The Mach number is the square root of inertial forces to compressibility forces. The ratio can be expressed as M = , where V is a representative velocity and c is the speed of sound in the fluid. This ratio gives an indication of how important the effects of compressibility are. A jet of length L = 17.5 m is travelling at V = 440 m/s at an altitude of h = 6.4 km. At that altitude, the speed of sound is c = 315 m/s, the density of air is p = 0.6309 kg/m and the viscosity is = 1.59710-2 CP. What is the Reynolds number? Express your answer to three significant figures. View Available Hint(s) Re = Submit | vec Part B - Calculate a Mach number ? A jet of length = 11 m is travelling at V = 540 m/s at an altitude of h = 6000 m. At this altitude, the speed of sound is c = 315 m/s. What is the Mach number? Express your answer to three significant figures. View Available Hint(s) M = Submit vec ? Part C - Calculate a Froude number An L = 52.7 m ship is cruising in the ocean at a speed of 16.7 m/s. What is the Froude number? Express your answer to three significant figures. View Available Hint(s) | vec ? Fr=