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Mach Speed of aircraft

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The relationship between the cone's vertex angle, theta, and the Mach number, M, of and aircraft that is flying faster than the speed of sound is given by sin theta/2 = 1/M.

If theta = Pi/2, determine the Mach speed, M, of the aircraft.

Express the speed as an exact value
M=

Express the speed as a decimal to the nearest tenth
M=

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Solution Summary

This solution shows how to find the Mach Speed of an aircraft, given the cone's vertex angle.

Solution Preview

theta = pi/2, then theta/2 = pi/4
we already know that sin(pi/4) = sqrt(2)/2, where sqrt is square root

so 1/M = sin(theta/2) = ...

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