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The SI unit of impulse is the newton second (N⋅s), and the dimensionally equivalent unit of momentum is the kilogram metre per second (kg⋅m/s). The corresponding English engineering unit is the pound-second (lbf⋅s), and in the British Gravitational System, the unit is the slug-foot per second (slug⋅ft/s).
In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. [2] [3] [4] Thus it can be represented heuristically as
The newton-second (also newton second; symbol: N⋅s or N s) [1] is the unit of impulse in the International System of Units (SI). It is dimensionally equivalent to the momentum unit kilogram-metre per second (kg⋅m/s). One newton-second corresponds to a one-newton force applied for one second.
impulse: kilogram meter per second (kg⋅m/s) jerk: meter per second cubed (m/s 3) imaginary unit (electrical) unitless ȷ ^ Cartesian y-axis basis unit vector unitless kinetic energy: joule (J) wave vector: radian per meter (m −1)
Magnetic flux generated per unit current through a circuit henry (H) L 2 M T −2 I −2: scalar Irradiance: E: Electromagnetic radiation power per unit surface area W/m 2: M T −3: intensive Intensity: I: Power per unit cross sectional area W/m 2: M T −3: intensive Linear density: ρ l: Mass per unit length kg⋅m −1: L −1 M: Luminous ...
If mass is used, specific impulse is an impulse per unit of mass, which dimensional analysis shows to be equivalent to units of speed; this interpretation is commonly labeled the effective exhaust velocity. If a force-based unit system is used, impulse is divided by propellant weight (weight is a measure of force), resulting in units of time.
The impulse can be modeled as a Dirac delta function for continuous-time systems, or as the discrete unit sample function for discrete-time systems. The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral (thus giving an infinitely high peak).
Impulse (physics), in mechanics, the change of momentum of an object; the integral of a force with respect to time; Impulse noise (disambiguation) Specific impulse, the change in momentum per unit mass of propellant of a propulsion system; Impulse function, a mathematical function of an infinitely high amplitude and infinitesimal duration