SOLVED: A rocket with a mass ratio(MR) of 15a change in velocity of 8 km/s,and produces a thrust of 200,000 N.Calculate the specific impulse lsp (2024)
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The specific impulse, Isp, with dimensional units of seconds, is the total impulse divided by the amount of propellant that produced that amount of impulse. It is also the ratio of the thrust to the propellant flow rate, I sp = F / m . .
Specific thrust is the thrust per unit air mass flowrate of a jet engine (e.g. turbojet, turbofan, etc.) and can be calculated by the ratio of net thrust/total intake airflow.
Some typical values of the exhaust gas velocity ve for rocket engines burning various propellants are: 1.7 to 2.9 km/s (3800 to 6500 mi/h) for liquid monopropellants. 2.9 to 4.5 km/s (6500 to 10100 mi/h) for liquid bipropellants. 2.1 to 3.2 km/s (4700 to 7200 mi/h) for solid propellants.
By using momentum change: The formula to calculate impulse through momentum change is by calculating the mass of the body and the velocity. In this case, Impulse will be equal to the product of mass and velocity. So J= m*v. Here v will be calculated by subtracting the final velocity from the initial velocity.
Determine the object's original velocity by dividing the time it took for the object to travel a given distance by the total distance. In the equation V = d/t, V is the velocity, d is the distance, and t is the time.
Thrust and specific impulse should not be confused. Thrust is the force supplied by the engine and depends on the amount of reaction mass flowing through the engine. Specific impulse measures the impulse produced per unit of propellant and is proportional to the exhaust velocity.
The specific impulse of a rocket can be calculated by dividing the thrust force by the weight flow rate of propellants. To calculate the thrust I take the product of mass flow rate and exhaust velocity. This gives 7000*280=1,960,000lbf.
Thrust is the amount of push a rocket engine provides to the rocket. Propulsion works when matter (something you can touch--like a gas or a liquid) is pushed out the back of a spacecraft.
By using force and time: We need to find the force applied on an object and the time interval. Then it is calculated by multiplying the force and that time. So, J= F*T. Here F represents force (in newton) and T represents time.
Applying Newton's second law to the rocket gives Fthrust − mg = ma ⇒ a=vemΔmΔt−g a = v e m Δ m Δ t − g , where m is the mass of the rocket and unburnt fuel.
Δ p = F net Δ t . F net Δ t F net Δ t is known as impulse and this equation is known as the impulse-momentum theorem. From the equation, we see that the impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum.
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