ne minimum amount of fuel needed to do this in a single-s has an Ip of 450 s. ing that multi-staging saves fuel, calculate how much fucl process into: i) 2 stages; ii) 4 stages; iii) 10 stages, cach tim /compartment/stage. Assume the same Ip applies to all stag

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 2:
A rocket with structure 7.5 tons in mass needs to take a payload of 1,500 kg to an altitude of
36,000 km above Earth. (We just want to reach that altitude, not to place the payload in orbit.)
a) Calculate the minimum amount of fuel needed to do this in a single-stage process if the
propulsion has an Ip of 450 s.
b) Now recalling that multi-staging saves fuel, calculate how much fuel will be needed if we
divide the process into: i) 2 stages; ii) 4 stages; iii) 10 stages, cach time discarding the
empty tank/compartment/stage. Assume the same Im applies to all stages.
Problem 3:
Consider the same rocket from the previous problem (with structure 7.5 tons in mass and Ip=
450 s) needing to carry a payload of 1,500 kg to an altitude of 36,000 km above Earth.
Calculate how much energy (in Joule and in equivalent gasoline liters) will be needed in both
the above single-stage and multi-stage launches:
a) to go from Earth's surface to the 36,000 km of altitude;
b) to put the payload/satellite into (circular) orbit at that altitude.
Transcribed Image Text:Problem 2: A rocket with structure 7.5 tons in mass needs to take a payload of 1,500 kg to an altitude of 36,000 km above Earth. (We just want to reach that altitude, not to place the payload in orbit.) a) Calculate the minimum amount of fuel needed to do this in a single-stage process if the propulsion has an Ip of 450 s. b) Now recalling that multi-staging saves fuel, calculate how much fuel will be needed if we divide the process into: i) 2 stages; ii) 4 stages; iii) 10 stages, cach time discarding the empty tank/compartment/stage. Assume the same Im applies to all stages. Problem 3: Consider the same rocket from the previous problem (with structure 7.5 tons in mass and Ip= 450 s) needing to carry a payload of 1,500 kg to an altitude of 36,000 km above Earth. Calculate how much energy (in Joule and in equivalent gasoline liters) will be needed in both the above single-stage and multi-stage launches: a) to go from Earth's surface to the 36,000 km of altitude; b) to put the payload/satellite into (circular) orbit at that altitude.
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