Topic: Fluid Mechanics
An aero plane is flying at an height of 14km where temperature is -45 °C. The speed of the plane is corresponding to M=2. Find the speed of the plane if R=287J/kg K and gamma=1.4
- A. 2179 km/h
- B. 3010 km/h
- C. 3250 km/h
- D. 3379 km/h
Answer: A. 2179 km/h
Explanation: Speed v = M * $\sqrt{gamma * R * T}$. T = 273 - 45 = 228 K. v = 2 * $\sqrt{1.4 * 287 * 228}$ = 605.344 m/s. In km/h = 605.344 * 3.6 = 2179.24 km/h.