The Mach number is a dimensionless ratio of the velocityof an object in a fluid to the

Chapter 1, Problem 1.2

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The Mach number is a dimensionless ratio of the velocityof an object in a fluid to the speed of sound in the fluid. For anairplane flying at velocity V in air at absolute temperature T, theMach number Ma isMa = VkRT ,where k is a dimensionless constant and R is the specific gas constantfor air. Show that Ma is dimensionless

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