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A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...
Instead of just an oscillating field, a permanent field could also be present. In such a situation, the force equation of a charged particle becomes: ¨ = + To solve the above equation, we can make a similar assumption as we did for the case when () =. This gives a generalized expression for the drift motion of the particle:
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.
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 ...
In celestial mechanics, the specific relative angular momentum (often denoted or ) of a body is the angular momentum of that body divided by its mass. [1] In the case of two orbiting bodies it is the vector product of their relative position and relative linear momentum, divided by the mass of the body in question.
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 ...
Gardner's relation, or Gardner's equation, named after Gerald H. F. Gardner and L. W. Gardner, is an empirically derived equation that relates seismic P-wave velocity to the bulk density of the lithology in which the wave travels. The equation reads:
As a simple approximate equation, the physical value of is usually very close to 1/3 of the detonation velocity of the explosive material for standard explosives. [1] For a typical set of military explosives, the value of D 2 E {\displaystyle {\frac {D}{\sqrt {2E}}}} ranges from between 2.32 for Tritonal and 3.16 for PAX-29n.