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constant rate with exhaust velocity of 182 m/s), a) Write & solve the differential equation b)...
A rocket expels exhaust at a rate of 50 m/s for 50 seconds. The rocket weighs...
A rocket expels exhaust at a rate of 50 m/s for 50 seconds. The rocket weighs 15,000 kg when empty. The rocket can hold 120,000 kg of fuel. At rest, weightless: 1. What speed is the rocket traveling when all the fuel is gone 2. How fast is the rocket traveling when only 30,000 kg of fuel has been used 3. When the rocket reaches 40 m/s how much fuel is left
1.) The rocket equation in 1 dimension is ert dt dt where u is the exhaust...
1.) The rocket equation in 1 dimension is ert dt dt where u is the exhaust velocity (in the rocket frame) and Fe is the net external force on the rocket Consider a space probe that is traveling through an interstellar cloud (far from any large gravitational masses). The probe experiences a linear drag force FD - -bv. Let us also assume that u is constant and dm/dt =-γ is constant. (a) The probe runs out of fuel when the...
A rocket consumes fuel at a rate of 5840 kg/s. The exhaust speed is 1670m/s. The...
A rocket consumes fuel at a rate of 5840 kg/s. The exhaust speed is 1670m/s. The acceleration of gravity = 9.8 m/s^2. What is the thrust of the rocket?
1. For an ideal rocket with a characteristic velocity of c 1220 m/s, a mass flow...
1. For an ideal rocket with a characteristic velocity of c 1220 m/s, a mass flow rate of 73 kg/s, a thrust coefficient of 1.5 and a nozzle throat area (A0.0248 m2), compute a. The effective exhaust velocity, c b. The thrust, F c. The chamber pressure, pc d. And the specific impulse, Isp
Combustion Nozdc Exhaust Fud Exit - V - Velocity m- mass flow rate p- pressure Throat...
Combustion Nozdc Exhaust Fud Exit - V - Velocity m- mass flow rate p- pressure Throat 2.4 kg/s of liquid hydrogen and 24 kg/s of liquid oxygen enter a rocket engine where they are supposed to combust. A large leak in the combustion chamber allows 13 kg/s of the mixture to escape prior to combustion. (Assume that the leak is composed of the same proportion of Hz and Oz as flow into the engine.) The remaining gases combust, and the...
10: A rocket accelerates upward by burning its onboard fuel, so its mass decreases with time....
10: A rocket accelerates upward by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket in meters per second after t seconds is given by the equation r(t)--gt-ve In (mmrt) where g is the acceleration due...
2. An object of 5 kg is released from rest 1000 meters above the ground level...
2. An object of 5 kg is released from rest 1000 meters above the ground level and allowed to fall under the influence of gravity. Assuming that the force due to air resistance is proportional to the velocity of the object with proportionality constant k = 50 kg/sec determine the formula for the velocity of the object 3. A rocket having an initial mass mo kg is launched vertically from the surface of the Earth. The rocket expels gas at...
PLEASE ALSO SOLVE USING THE SIMPSONS 1/3RULE.PLEASE DONT ATTEMPT THE QUESTION IF YOU CANT SOLVE BOTH GUASS AND SIMPSONS...
PLEASE ALSO SOLVE USING THE SIMPSONS 1/3RULE.PLEASE DONT
ATTEMPT THE QUESTION IF YOU CANT SOLVE BOTH GUASS AND
SIMPSONS
Q2. The upward velocity of a rocket can be computed by the following formula: mo v= uln gt gt mo where v= upward velocity, velocity at which fuel is expelled relative to the rocket, mg= initial mass of the rocket at time t= 0, fuel consumption rate, and downward acceleration of gravity (assumed constant 9.81m/s2). If u= 2500 kg/s, determine how...
? When is it applied? Write the equation of a differential mass balance in its most...
? When is it applied? Write the equation of a differential mass balance in its most general form showing the notation used. 2 (a) What is a differential mass balance 3 marks] Methanol is added to a storage tank containing 900 kg of methanol at a rate of 1500 kg b1 and is simultaneously withdrawn at a rate that increases linearly with time. The initial rate of withdrawal of methanol is 600 kg h1. Five hours later the rate of...
QB: The Rocket Equation The velocity of a rocket t seconds after liftoff from earth can be modeled by v(t) = -g*t - v_e...
QB: The Rocket Equation The velocity of a rocket t seconds after liftoff from earth can be modeled by v(t) = -g*t - v_e * Ln( (m-r*t)/m ) where g = 9.8 m/s^2, the usual earth gravity value, v_e = exhaust velocity, 3000 m/s (the e here isn't related to 2.71828...) m = initial mass of the rocket+fuel: 30,000 kg r = rate of using fuel = 160 kg/s i) Find a formula for the acceleration function a(t) and graph...
1.) The rocket equation in 1 dimension is ert dt dt where u is the exhaust velocity (in the rocket frame) and Fe is the net external force on the rocket Consider a space probe that is traveling through an interstellar cloud (far from any large gravitational masses). The probe experiences a linear drag force FD - -bv. Let us also assume that u is constant and dm/dt =-γ is constant. (a) The probe runs out of fuel when the...
1. For an ideal rocket with a characteristic velocity of c 1220 m/s, a mass flow rate of 73 kg/s, a thrust coefficient of 1.5 and a nozzle throat area (A0.0248 m2), compute a. The effective exhaust velocity, c b. The thrust, F c. The chamber pressure, pc d. And the specific impulse, Isp
Combustion Nozdc Exhaust Fud Exit - V - Velocity m- mass flow rate p- pressure Throat 2.4 kg/s of liquid hydrogen and 24 kg/s of liquid oxygen enter a rocket engine where they are supposed to combust. A large leak in the combustion chamber allows 13 kg/s of the mixture to escape prior to combustion. (Assume that the leak is composed of the same proportion of Hz and Oz as flow into the engine.) The remaining gases combust, and the...
10: A rocket accelerates upward by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket in meters per second after t seconds is given by the equation r(t)--gt-ve In (mmrt) where g is the acceleration due...
2. An object of 5 kg is released from rest 1000 meters above the ground level and allowed to fall under the influence of gravity. Assuming that the force due to air resistance is proportional to the velocity of the object with proportionality constant k = 50 kg/sec determine the formula for the velocity of the object 3. A rocket having an initial mass mo kg is launched vertically from the surface of the Earth. The rocket expels gas at...
PLEASE ALSO SOLVE USING THE SIMPSONS 1/3RULE.PLEASE DONT
ATTEMPT THE QUESTION IF YOU CANT SOLVE BOTH GUASS AND
SIMPSONS
Q2. The upward velocity of a rocket can be computed by the following formula: mo v= uln gt gt mo where v= upward velocity, velocity at which fuel is expelled relative to the rocket, mg= initial mass of the rocket at time t= 0, fuel consumption rate, and downward acceleration of gravity (assumed constant 9.81m/s2). If u= 2500 kg/s, determine how...
? When is it applied? Write the equation of a differential mass balance in its most general form showing the notation used. 2 (a) What is a differential mass balance 3 marks] Methanol is added to a storage tank containing 900 kg of methanol at a rate of 1500 kg b1 and is simultaneously withdrawn at a rate that increases linearly with time. The initial rate of withdrawal of methanol is 600 kg h1. Five hours later the rate of...
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