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From the foregoing, you can see that the time domain equations are simply scaled forms of the angle domain equations: is unscaled, ′ is scaled by ω, and ″ is scaled by ω². To convert the angle domain equations to time domain, first replace A with ωt , and then scale for angular velocity as follows: multiply x ′ {\displaystyle x'} by ...
Making a speed mouse trap car involves extracting the most energy you can from the mousetrap spring in a short distance. The lever arm needs to be shorter than the distance car's because the shorter the arm is, the quicker the spring will snap, and thus more torque gets extracted from the spring.
Energy–maneuverability theory is a model of aircraft performance. It was developed by Col. John Boyd, a fighter pilot, and Thomas P. Christie, a mathematician with the United States Air Force, [1] and is useful in describing an aircraft's performance as the total of kinetic and potential energies or aircraft specific energy.
[1] [2] He measured elapsed time with a water clock, using an "extremely accurate balance" to measure the amount of water. [note 1] The equations ignore air resistance, which has a dramatic effect on objects falling an appreciable distance in air, causing them to quickly approach a terminal velocity. The effect of air resistance varies ...
A radar speed gun, also known as a radar gun, speed gun, or speed trap gun, is a device used to measure the speed of moving objects. It is commonly used by police to check the speed of moving vehicles while conducting traffic enforcement , and in professional sports to measure speeds such as those of baseball pitches , [ 1 ] tennis serves , and ...
At Mach 0.65, u is 65% of the speed of sound (subsonic), and, at Mach 1.35, u is 35% faster than the speed of sound (supersonic). An F/A-18 Hornet creating a vapor cone at transonic speed just before reaching the speed of sound. The local speed of sound, and hence the Mach number, depends on the temperature of the surrounding gas.
A diagram showing the relationship for flow depth (y) and total Energy (E) for a given flow (Q). Note the location of critical flow, subcritical flow, and supercritical flow. The energy equation used for open channel flow computations is a simplification of the Bernoulli Equation (See Bernoulli Principle ), which takes into account pressure ...
The blue line represents the ion path in the transversal (or radial) direction of a linear trap, while the orange line is the secular (slow) motion resulting from the ponderomotive force due to the electric field onto the ion. Micromotion is the fast oscillatory motion around the secular motion [1]