This is a difficult question to ask, because it does not have a clearly defineable answer.
Power as physical quantity is defined as the amount of expended work divided by the time it took to do that work:
P = dW/dt
Work, however, is a more complex animal than you might have thought when setting the question. Work is a quantity that measures the expenditure of energy; any energy expended is measured as work:
W = -E
Thus, we need to consider how much energy the space shuttle is gaining (or how much work its engines are doing) at a given time.
The total mechanical energy of the space shuttle would in this example consist of potential energy and kinetic energy:
E(t) = Ep(t) + Ek(t) = mgh(t) + ½mv(t)2
where m is the mass of the vehicle, assumed to be close enough to constant during the ten seconds specified in the question;
g is the gravitational acceleration of 9.81 m/s2;
h(t) is the altitude of the vehicle as function of time, and
v(t) is the velocity of the vehicle as function of time.
To define the energy of the vehicle as function of time, we need to define the altitude and velocity as functions of time. To do this in meaningful way, we'll simplify the example with a few assumptions:
-the shuttle will travel upward only (constrained to one axis of motion)
-mass is constant or close enough to constant to not significantly matter, at 2,000,000 kg gross lift-off weight for the entire system stack
-the shuttle will have constant acceleration of 3g (it is limited to this acceleration for safety reasons).
Now to resolve the kinetic equations of the vehicle:
a = 3g
a = dv/dt
dv = a dt ∫(...)
∫dv = a ∫dt
v(t) = at + v0
v = dh/dt
dh/dt = at + v0
dh = at dt + v0 dt ∫(...)
∫dh = a∫t dt + v0∫dt
h(t) = ½ a t2 + v0t + h0
Thus, the energy of the vehicle at time t is
E(t) = mgh(t) + ½mv(t)2
E(t) = mg(½ a t2+ v0t + h0) + ½m(at + v0)2
To simplify things further, we can define initial velocity and altitude as zero:
h0 = 0, v0 = 0
E(t) = ½ mga t2 + ½m a2 t2 = (½ mga + ½ ma2) t2
Now, here's our function for the total mechanical energy of the vehicle. To determine the rate of energy consumption at ten seconds, we need to derivate the function by t:
E'(t) = (mga + ma2) t
Since E'(t) = dE/dt and P = dW/dt, we have our answer here by substituting our assumed values into this simple equation:
( 2,000,000 kg * 4 * 9.81 m/s2 + 2,000,000 kg * [3 * 9.81 m/s2]2 ) * 10 s
≈18.11 x 109 W = 18.11 GW
Based on this very simplified calculation, the space shuttle launch vehicle's total power output at T+10s is approximately 18 gigawatts, which translates to:
* 24,138,397.6 hp
* Full installed power output of Three Gorges Dam
* Eleven and a quarter of the projected power output of Olkiluoto 3 fission reactor (which will be the most powerful nuclear reactor in the world upon completion)
These comparisons should make it obvious why "power", especially axial power, is not especially valid or relevant quantity of capacity when you are talking about rockets, jet engines or other similar systems which rely on the reaction principle rather than mechanical traction for providing locomotion. Furthermore, the amount of chemical energy expended by the rocket motors of the space shuttle is significantly larger than the value achieved in this example; not all of the thermal energy generated in the chemical reactions is converted into potential energy and kinetic energy.
As a further exercise, you could try to define the power of a car with static 5 m/s2 acceleration. You will find that the "power" of the car varies as a function of time, rather than being a constant, clear-cut value.
The Endeavor space shuttle weighs 296,576 pounds.
A shuttle launch does not create energy. Instead, it expends stored energy from its fuel sources to propel the shuttle into space.
The space shuttle ride in Enchanted Kingdom utilizes the principles of mechanics and physics, specifically centripetal force and acceleration. The ride's movement creates a feeling of weightlessness and acceleration, mimicking the experience of space travel. Riders experience forces acting on their body as the shuttle moves along its circular path.
The space shuttle is protected from burning up when returning to Earth by its heat-resistant tiles and thermal protection system. These tiles are designed to withstand the extreme heat generated during re-entry into Earth's atmosphere.
A change in velocity due to a change in direction in a space shuttle is caused by the application of thrust from its engines. By adjusting the direction of thrust, the shuttle can alter its velocity vector, changing its speed and/or direction of travel. This allows the shuttle to adjust its course, orbit, or perform maneuvers in space.
The Challenger space shuttle exploded 73 seconds after liftoff on January 28, 1986.
The space shuttle disaster in 1986 was the Challenger disaster. The Challenger space shuttle broke apart 73 seconds after liftoff, resulting in the loss of all seven crew members.
A space shuttle's weight at liftoff is approximately 4.5 million pounds.
Christa McAuliffe, the teacher selected to fly on the Challenger space shuttle, was in space for just over a minute before the shuttle tragically exploded on January 28, 1986. The accident occurred 73 seconds after liftoff.
The space shuttle Challenger exploded 73 seconds after liftoff at 11:39 a.m. Eastern Time on January 28, 1986.
the space shuttle challenger blew up on January 28, 1986
The space shuttle Challenger disintegrated 73 seconds after liftoff on January 28, 1986, due to the failure of an O-ring seal in its right solid rocket booster. The crew, including teachers Christa McAuliffe and Sharon Christa McAuliffe, died in the explosion before the orbiter plummeted into the ocean.
Space Shuttle Challenger, on January 28, 1986, tragically broke apart 73 seconds after liftoff, leading to the loss of all seven crew members.
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Horsepower is not used in space shuttles. Instead, the thrust produced by the engines is measured in Newtons or pounds-force. This thrust is essential for propelling the shuttle into space and overcoming Earth's gravity.
1986
It depends on whether you're in space or not