The Mach number M of a supersonic airplane is the ratio of its speed to the speed of sound. When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. The Mach number is related to the apex angle θ of the cone by sin(θ/2) = 1/M. (b) Find the angle θ that corresponds to a Mach number of 2. (Enter your answer in radians.) θ = (c) Find the angle θ that corresponds to a Mach number of 4.5. (Enter your answer in radians. Round your answer to four decimal places.) θ = (d) The speed of sound is about 760 miles per hour. Determine the speed of an object with the Mach number from part (b). (Round your answer to the nearest whole number.) mi/h Determine the speed of an object with the Mach number from part (c). (Round your answer to the nearest whole number.) mi/h
The Mach number M of a supersonic airplane is the ratio of its speed to the speed of sound. When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. The Mach number is related to the apex angle θ of the cone by sin(θ/2) = 1/M. (b) Find the angle θ that corresponds to a Mach number of 2. (Enter your answer in radians.) θ = (c) Find the angle θ that corresponds to a Mach number of 4.5. (Enter your answer in radians. Round your answer to four decimal places.) θ = (d) The speed of sound is about 760 miles per hour. Determine the speed of an object with the Mach number from part (b). (Round your answer to the nearest whole number.) mi/h Determine the speed of an object with the Mach number from part (c). (Round your answer to the nearest whole number.) mi/h
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The Mach number M of a supersonic airplane is the ratio of its speed to the speed of sound. When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. The Mach number is related to the apex angle θ of the cone by sin(θ/2) = 1/M.
(b) Find the angle θ that corresponds to a Mach number of 2. (Enter your answer in radians.)
θ =
(c) Find the angle θ that corresponds to a Mach number of 4.5. (Enter your answer in radians. Round your answer to four decimal places.)
θ =
(d) The speed of sound is about 760 miles per hour. Determine the speed of an object with the Mach number from part (b). (Round your answer to the nearest whole number.)
mi/h
mi/h
Determine the speed of an object with the Mach number from part (c). (Round your answer to the nearest whole number.)
mi/h
mi/h
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