A rocket (from Italian: rocchetto, lit. 'bobbin/spool') is a projectile that spacecraft, aircraft or other vehicles use to obtain thrust from a rocket engine. Rocket engine exhaust is formed entirely from propellant carried within the rocket. Rocket engines work by action and reaction and push rockets forward simply by expelling their exhaust in the opposite direction at high speed, and can therefore work in the vacuum of space.
In fact, rockets work more efficiently in space than in an atmosphere. Multistage rockets are capable of attaining escape velocity from Earth and therefore can achieve unlimited maximum altitude. Compared with airbreathing engines, rockets are lightweight and powerful and capable of generating large accelerations. To control their flight, rockets rely on momentum, airfoils, auxiliary reaction engines, gimballed thrust, momentum wheels, deflection of the exhaust stream, propellant flow, spin, or gravity.
Rockets for military and recreational uses date back to at least 13th-century China. Significant scientific, interplanetary and industrial use did not occur until the 20th century, when rocketry was the enabling technology for the Space Age, including setting foot on the Earth's moon. Rockets are now used for fireworks, weaponry, ejection seats, launch vehicles for artificial satellites, human spaceflight, and space exploration.
Chemical rockets are the most common type of high power rocket, typically creating a high speed exhaust by the combustion of fuel with an oxidizer. The stored propellant can be a simple pressurized gas or a single liquid fuel that disassociates in the presence of a catalyst (monopropellant), two liquids that spontaneously react on contact (hypergolic propellants), two liquids that must be ignited to react (like kerosene (RP1) and liquid oxygen, used in most liquid-propellant rockets), a solid combination of fuel with oxidizer (solid fuel), or solid fuel with liquid or gaseous oxidizer (hybrid propellant system). Chemical rockets store a large amount of energy in an easily released form, and can be very dangerous. However, careful design, testing, construction and use minimizes risks.
Homework Statement
15. (4) A rocket is launched vertically from Earth's surface with a velocity of 3.4 km/s. How high does it go from Earth's centre?
Homework Equations
Ek = 1/2mv^2
Eg = -GMm/r
The Attempt at a Solution
1/2mv^2 = -GMm/r
1/2(3400)^2 =...
Here is the problem: In free space, what would the answer to number 2 be?
Number 2 is a=((Vrk)/(1-kt))-g.
I think that since there is no gravity in free space the answer is a=((Vrk)/(1-kt)). Is this correct and is my reason for it correct?
Here is what I know a = (-Vr/m)(dm/dt)-g, I also know that 6. : m=m(initial)(1-kt). Under the conditions of 6: Show that a = ((Vr)(k))/(1-(kt))-g. I have tried to solve this problem by substituting dm/dt=-km(initial) into the first equation I have listed (a = etc.) but I have had no luck. Please...
Suppose the rate of ejection mass by a rocket is a constant, dm/dt = -kmo. I need to show that m=mo(1-kt). I know -mg=m(dv/dt)-Vr(dm/dt). I thought that I could just substitute for (dm/dt) and get the solution but I am having no luck. Please help me show this property.
First off this is not homework or coursework, just general interest.
I've been looking to derive the rocket equation which includes the effects of Universal Gravitation. I've been able to derive it assuming near Earth gravity where g is taking as constant acceleration...
Homework Statement
A 20000kg spacecraft carrying 17000kg of fuel starts at the surface pf the earth, (Mass=6*1024kg, radius of 6.3*10^6 m). The liquid oxygen and kerosene rocket provides an exhaust velocity of 3500m/s.
a.) How much high can the rocket go above the Earth's surface?
b.)Once...
Homework Statement
Calculate the maximum height and the initial speed of the rocket. Show The equaltions and then show your substitutions. The total flight time was 6.52 seconds. the height time will be expressed in meters and feet and the velocity will be expressed at m/s, feet/second...
Homework Statement
A rocket of mass 4.70E+5 kg is in flight. Its thrust is directed at an angle of 50.8° above the horizontal and has a magnitude of 7.39E+6 N. Calculate the magnitude (enter first) and direction of the rocket's acceleration. Give the direction as an angle above the...
I'm currently developing a game using a pre-existing physics library called Box2D and I've stumbled into some unexpected behavior that I can't pinpoint being actual physics or an artifact of the programming.
My spaceship is traveling through a 2D vacuum facing straight along it's velocity...
At what horizontal velocity would a satellite have to be launched from the top of Mt. Everest to be placed in a circular orbit around the earth?
The book earlier in the chapter provides two things relating to Mt. Everest:
1. g at the top of Mt. Everest is 9.77 m/s2
2. The top of Mt. Everest...
Homework Statement
A polaris missile has a mass of 1.4 x 10^4 kg and its engine has a thrust of 2 x 10^5 N. If its engines fire in the vertical direction for 1 min starting from rest, to what vertical height would it rise in the absence of air resistance?
Homework Equations
F=ma
W=mg...
If a rocket doubles it's relative exhaust velocity while do tripling the "burn rate" of fuel, the thrust...
A) doubles
B) Triples
C) increases 5 times
D) increases 6 times
E) none of the above!
Thrust=dv/dt=lVe(dM/dt)l
I just plugged in 2 for V and 3 for dM and 1 for dt giving me 6
Homework Statement
In class we made rockets out of 2L bottles and launched them using pressurized water.
The angle that ours went at was 50 degress. Height was 26m. Hangtime 5.18s
acceleration 3.8m/s2 and the mass of the rocket was .52kg
Homework Equations
I am trying to find the...
1. A solid bar of length L = 0.5m and with W = 0.1m weighs 2kg. It also has two constant-thrust rockets attached on either end. Each rocket is small enough to be considered a point mass of 0.25kg. If the bar is initially at rest and in two seconds after the rockets are fired it achieves a...
Homework Statement
Your school science club has devised a special event for homecoming. You've attached a rocket to the rear of a small car that has been decorated in the blue-and-gold school colors. The rocket provides a constant acceleration for 9s. As the rocket shuts off, a parachute opens...
ok here's the problem. i really need on this. its not a calculation but more of an explanation.
Consider a rocket engine. It delivers a constant thrust, which is the force exerted on the rocket by the expanding exhaust gases from the burning fuel.This typically is true in real life:both the...
Homework Statement
A person wants to shoot a rocket off of a mountain 3.26 km high so that the rocket, when shot at 31.3° above the horizontal from the very top of the mountain, lands at the foot of the mountain 9.37 km (horizontal distance) away. What initial speed must the rocket have...
Homework Statement
A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed u. Assume that the rate at which mass is expelled is given by dm/dt = km, where m is the instantaneous mass of the rocket and k is a constant, and that the rocket is retaded...
Homework Statement
A rocket of initial mass m_{0} accelerates from rest in vacuum in the absence of gravity. As it uses up fuel, its mass decreases but its speed increases. For what value of m is its momentum p = mv maximum?Homework Equations
Tsiolkovsky rocket equation:
v(m) = v_e ln \left(...
Homework Statement
A faulty model rocket moves in the xy-plane. The rocket's acceleration has components: ax(t) = 2.5t² and ay(t) = 9 - 1.4t
At t= 0, the rocket is at the origin and has velocity V0 = 1i + 7j
(a) calculate the velocity and positions vectors as functions of time
(b) What is the...
Homework Statement
A rocket rises vertically, from rest, with an acceleration of 4.0 until it runs out of fuel at an altitude of 1500 . After this point, its acceleration is that of gravity, downward.
How long does it take to reach this point?
What maximum altitude does the rocket...
Homework Statement
Consider the case of a rocket taking off vertically from rest in a gravitational field g. The differential equation is given by
m\dot{v} = -\dot{m}v_{ex}-mg
Assume the rocket ejects mass at a constant rate, \dot{m}=-k (where k is a positive constant), so that m=m_{0}-kt...
Rocket Problem, please help :)
Homework Statement
A rocket rises vertically, from rest, with an acceleration of 3.2 m/s^2 until it runs out of fuel at an altitude of 950 meters. After this point, it's acceleration is that of gravity, downward. a) What is the velocity of the rocket when it runs...
1. Problem
A launched rocket emitting gas with a speed of 1500 m/sec relative to rocket and with flowrate of 100 kg/sec.
If net mass of rocket is 5000 kg, find it's acceleration.
2. Equations
F=ma
F=d(mv)/dt
Conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
3.Attempt
Flowrate = 100...
Suppose that you are at the top of a (rigid) rocket which is half a light
year tall. If the rocket is accelerating such that your proper acceleration
is 1g,
What is the proper acceleration at the bottom of the rocket?
B =
F c2
c2 F
:
This is one of the equations given:
alpha...
Homework Statement
A rocket is launched at an angle of 53 above the horizontal with an initial speed of 100 m/s. It moves along its initial line of motion with an acceleration of 30 m/s^2 for 3 s. A this time its engines fail and the rocket proceeds to move as a free body.
a. Find maximum...
Homework Statement
A rocket is launched at an angle of 53 degrees above the horizontal with an intial speed of 100 m/s. It moves along its initial line of motion with an accel. of 30 m/s^2 for 3 s. At this time its engines fail and the rocket proceeds to move as a free body. Find the maximum...
I wanted to get some opinions on this, I am serious considering designing a ramjet rocket hybrid engine for my 3rd year mechanical engineering degree project and have started doing the research to see exactly how much work it entails I still can't quite decide... is this a realistic project? (my...
Homework Statement
A toy rocket moving vertically upward passes by a 2.2 m high window whose sill is 9.0m above the ground. The rocket takes 0.17s to travel the 2.2m height of the window. What was the launch speed of the rocket, and how high will it go? Assume the propellant is burned very...
Homework Statement
Given a rocket that is accelerating upward until escape velocity, find m_gas/m_rocket. Should be near 300, I'm getting 6.5.Homework Equations
The Attempt at a Solution
Here's a pdf in google docs...
1. Two rockets, A and B, leave a space station with velocity vectors va and vb relative to the station frame S, perpendicular to each other.
(a) Determine the velocity of A and to B, vba.
(b) Determine the velocity of B relative to A, vab.
(c) Explain why vab and vba do not point in...
Homework Statement
The 3rd and 4th stages of a rocket, mass 40kg and 60kg respectively, coast in space with a velocity of 15,000kmh when the 4th stage ignites, with thrust T and causes separation. If the velocity of the 4th stage is 10m/s greater than the 3rd stage at the end of the 0.5...
In the consideration of rocket motion we always use the principle of the Conservation of Linear Momentum.This principle holds true only for isolated systems.But the initial stage of rocket motion is strongly affected by gravity-----which is definitely an external force [if we consider the rocket...
Homework Statement
The missile has maximum horizontal range of 160km. What is the maximum altitude it can reach if launched vertically?
Homework Equations
v2=u2 +2as
The Attempt at a Solution
v=0 (because the velocity is zero when it is not rising anymore)
u=0
a= -9.8 (up is the positive...
Homework Statement
A rocket is fired upward from Earth with initial velocity v measured in m/s. Then maximum height in m is reached by the rocket is given by the function h(v)=Rv^2/2gR-v^2
Radius is 6.4(10^6)m and acceleration due to gravity g is 9.8m/s^2 (R and g are constants and v is the...
I am attempting to work out the changing velocity of a rocket on Excel. However, I cannot use the simple:
\int{a} dt = v.
at + C = v.
If thrust is constant at 20 000 and the rocket is 2000kg with 600kg not made of fuel and 20kg lost every second, then would the equation be...
The rocket equation given by Delta V = Ve ln (Mo/M) says that Ve is the exhaust velocity of the rocket.
The orbital velocity for Low Earth Orbit is about 7.8 Km/s. How then, is this velocity attained by a rocket which is fuelled only by a bipropellant rocket engine producing an exhaust...
Hey Guys,
I have a problem,
Say I have a rocket that has a mass about 350kg and produces 1250kg of thrust and I launch it horizontally, I know that 1250/350 gives me the acceleration in m/s2 (roughly 3.6 m/s2) but how do I then work out the speed?
Also if I where to launch the rocket...
A rocket is launched vertically upwards until it uses up its fuel. It then falls back to Earth. Find the time when the rocket uses up its fuel from the graph.
My answer was 20s. Is it correct?
hye..
i'm working on my FYP project on designing and building a rocket controller which will react on altitude change thus shifting the angle of its fin to make sure the rocket fly to the right altitude. can anyone help me with the topic?
Hello all,
I recently made some model rockets and thought it would be fun to predict their height before setting them off this weekend. I thought it would also be interesting to compare the difference in the predictions of a model with no drag and a model with quadratic drag. Surprisingly...
Are there any possible performance gains or advantages in a rocket using a colloid as fuel propellant? If so, what might these be, and are there any examples of such rockets having been tried?
Solid-fueled rockets are known to offer advantages in higher thrust, while liquid-fueled rockets...
I am currently constructing a supersonic rocket and am trying to empirically calculate the heat transferred onto all different parts of the missile body to know what materials to buy. However, I do not know how to calculate the heat transferred onto the fins of the rocket as it travels (the fins...
I have an idea of creating a rocket using mentos and diet coke, but the failure rate is really high. I also tried reacting HCL + Mg in order to create pressurized Hydrogen Gas in the bottle, in order to make the rocket thrust upwards. I also used alka seltzer in creating a potential rocket, but...
Homework Statement
A rocket has launched straight up, and its altitude is h = 10t2
feet after t seconds. You are on the ground 1000 feet from the launch site. The line
of sight from you to the rocket makes an angle θ with the horizontal. By how many
Radians per second is θ changing ten seconds...
Homework Statement
A rocket of mass 0.5kg is shot vertically and burns for 1.5s, providing a constant force of 22N.
After 1.5s what is the height of the rocket above the ground?
The Attempt at a Solution
by taking m*g of the rocket (downwards force) away from the 22N force...
I decided to draw this up when the idea came to me just so I could visualize it.
I am no rocket scientist so I thouhgt I would post the concept and get some feedback: