Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
linear momentum and impulse equations
1.
2. Linear Momentum Equation
The linear momentum of a particle with mass ‘m’ moving
with velocity ‘v’ is defined as product of mass and velocity
.i.e:
p = mv
It is based on the law of conservation of momentum or on
the momentum principle, which states that the net force
acting on a fluid mass is equal to the change in momentum
of flow per unit time in that direction. The force acting on a
fluid mass ‘m’ is given by the Newton’s law of motion,
3. F=m*a
where a is the acceleration acting in the same direction as F.
IMPLUSE FORCE AND EQUATIONS
The impulse-momentum equation can be easily derived from
kinematics and Newton's Second Law. This equation is very closely
related to newton’s second law - in fact, it is often called the "Impulse-
Momentum form of Newton's Second Law".
So, to derive the equation we have,
a=
F=m*
= {m is constant and can be taken
inside the differential }
4. ∴ F= ……….. Eq(2)
Eq(2) is known as momentum principle.
Eq(2) can be written as : F.dt=d(mv) .........Eq(3)
Here Eq(3) is known as the impulse-momentum equation and
states that the impulse of a force F acting on a fluid of mass
‘m’ in a short interval of time dt which is called impulse force
is equal to the change of momentum d(mv) in the direction of
force.