A rocket traveling above the atmosphere at an altitude of 500 km would have a free fall acceleration g = 8.43 m/s2 in the absence of forces other than gravitational attraction. Because of thrust, rocket has an additional acceleration component a1 of 8.8 m/s2 tangent to its trajectory, which makes an angle of 30 with the vertical at the instant considered. If the velocity υ of the rocket is 30,000 km/h at this position, compute the radius of curvature of the trajectory and the rate at which υ is changing with time. (See Fig. 5 below)
A rocket traveling above the atmosphere at an altitude of 500 km would have a free fall acceleration g = 8.43 m/s2 in the absence of forces other than gravitational attraction. Because of thrust, rocket has an additional acceleration component a1 of 8.8 m/s2 tangent to its trajectory, which makes an angle of 30 with the vertical at the instant considered. If the velocity υ of the rocket is 30,000 km/h at this position, compute the radius of curvature of the trajectory and the rate at which υ is changing with time. (See Fig. 5 below)
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5. A rocket traveling above the atmosphere at an altitude of 500 km would have a free fall
acceleration g = 8.43 m/s2
in the absence of forces other than gravitational attraction.
Because of thrust, rocket has an additional acceleration component a1 of 8.8 m/s2
tangent
to its trajectory, which makes an angle of 30 with the vertical at the instant considered. If
the velocity υ of the rocket is 30,000 km/h at this position, compute the radius of
curvature of the trajectory and the rate at which υ is changing with time. (See Fig. 5
below)
Transcribed Image Text:30⁰
TO
Fig. 5
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