The upward velocity of a rocket can be computed by the following formula: mo v = u ln mo gt qt | where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant =9.81 m/s²). %3D If u = 2200 m/s, m, = 160000 kg and q = 2680 kg/s, compute the time at which v = 1000 m/s using,

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
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The upward velocity of a rocket can be computed by the following formula:
m.
v = u ln
mo
gt
qt
where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket,
m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward
acceleration of gravity (assumed constant =9.81 m/s2).
%3D
If u = 2200 m/s, m, = 160000 kg and q
v = 1000 m/s using,
= 2680 kg/s, compute the time at which
1. The graphical method, take t = 0 to 30 s with step (10 s).
2. The false-position method to within ɛ, = 0.12%. Use initial guesses of t = 20 s and 30 s.
%3D
Transcribed Image Text:The upward velocity of a rocket can be computed by the following formula: m. v = u ln mo gt qt where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant =9.81 m/s2). %3D If u = 2200 m/s, m, = 160000 kg and q v = 1000 m/s using, = 2680 kg/s, compute the time at which 1. The graphical method, take t = 0 to 30 s with step (10 s). 2. The false-position method to within ɛ, = 0.12%. Use initial guesses of t = 20 s and 30 s. %3D
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