Q1. Su 30 MKI top mach number is Mach 2.0. What is the corresponding top speed ? Show the calculation.
Top Speed of Su-30MKI at Mach 2.0
The Su-30MKI has a maximum speed of Mach 2.0. To calculate the corresponding speed in km/h and mph, we use the fact that Mach number is a multiple of the speed of sound, which depends on altitude and temperature.
Speed of Sound at 11 km Altitude At 11 km (36,000 ft) altitude, the standard atmosphere temperature is approximately -56.5°C or 216.65 K. The speed of sound is calculated using the formula:
a = √(γ × R × T)
Where: • γ (gamma) = 1.4 (specific heat ratio for air) • R = 287 J/kg·K (specific gas constant for air) • T = 216.65 K
Substituting values: a = √(1.4 × 287 × 216.65) ≈ √86917 ≈ 294.8 m/s
Multiply by Mach Number Top Speed = Mach 2.0 × 294.8 m/s = 589.6 m/s
Convert to km/h and mph • 589.6 m/s × 3.6 = 2,122.6 km/h • 589.6 m/s × 2.237 = 1,318.6 mph
Final Answer: • Top speed ≈ 2,123 km/h • Top speed ≈ 1,319 mph
Note: This assumes standard atmospheric conditions at 11 km altitude. Actual speed may vary slightly depending on temperature, pressure, and engine performance.
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Amardip Ghosh #Aerospace Propulsion
Q1. Su 30 MKI top mach number is Mach 2.0. What is the corresponding top speed ? Show the calculation.
Top Speed of Su-30MKI at Mach 2.0
The Su-30MKI has a maximum speed of Mach 2.0. To calculate the corresponding speed in km/h and mph, we use the fact that Mach number is a multiple of the speed of sound, which depends on altitude and temperature.
Speed of Sound at 11 km Altitude
At 11 km (36,000 ft) altitude, the standard atmosphere temperature is approximately -56.5°C or 216.65 K.
The speed of sound is calculated using the formula:
a = √(γ × R × T)
Where:
• γ (gamma) = 1.4 (specific heat ratio for air)
• R = 287 J/kg·K (specific gas constant for air)
• T = 216.65 K
Substituting values:
a = √(1.4 × 287 × 216.65) ≈ √86917 ≈ 294.8 m/s
Multiply by Mach Number
Top Speed = Mach 2.0 × 294.8 m/s = 589.6 m/s
Convert to km/h and mph
• 589.6 m/s × 3.6 = 2,122.6 km/h
• 589.6 m/s × 2.237 = 1,318.6 mph
Final Answer:
• Top speed ≈ 2,123 km/h
• Top speed ≈ 1,319 mph
Note: This assumes standard atmospheric conditions at 11 km altitude. Actual speed may vary slightly depending on temperature, pressure, and engine performance.