Consider a solid iron sphere entering the earth's atmosphere at 13 km/s (slightly above es- cape velocity) and at an angle of 15° below the local horizontal. The sphere diameter is 1 m. The drag coefficient for a sphere at hypersonic speeds is approximately 1. The den- sity of iron is 6963 kg/m³. Calculate (a) the altitude at which maximum deceleration oc- curs, (b) the value of the maximum deceleration, and (c) the velocity at which the sphere would impact the earth's surface.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.68P
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Consider a solid iron sphere entering the earth's atmosphere at 13 km/s (slightly above es-
cape velocity) and at an angle of 15° below the local horizontal. The sphere diameter is
1 m. The drag coefficient for a sphere at hypersonic speeds is approximately 1. The den-
sity of iron is 6963 kg/m³. Calculate (a) the altitude at which maximum deceleration oc-
curs, (b) the value of the maximum deceleration, and (c) the velocity at which the sphere
would impact the earth's surface.
Transcribed Image Text:Consider a solid iron sphere entering the earth's atmosphere at 13 km/s (slightly above es- cape velocity) and at an angle of 15° below the local horizontal. The sphere diameter is 1 m. The drag coefficient for a sphere at hypersonic speeds is approximately 1. The den- sity of iron is 6963 kg/m³. Calculate (a) the altitude at which maximum deceleration oc- curs, (b) the value of the maximum deceleration, and (c) the velocity at which the sphere would impact the earth's surface.
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