•Forces that result when an object moves through a fluid, or when a fluid moves past an object.
•The concept of dynamic forces can be
explained with the help of Newton’s second law.when a fluid moves past an object.
•Dynamic forces
arise due
to the relative motion of an object in a fluid.
There must be motion.
•The concept of dynamic forces can be
explained with the help of Newton’s second law.
•The study of forces resulting from the
impact of fluid jets and when fluids are diverted round pipe bends involves the
application of Newton’s second law in the form of F = m.a. The
forces are determined by calculating the change of momentum of the flowing
fluids. In nature these forces manifest themselves in the form of
wind forces, and the impact forces of the sea on the harbour walls. The operation of
hydro-kinetic machines such as turbines depends on forces developed through
changing the momentum of flowing fluids.
•Newton’s Second Law can be stated as: The force acting on a body in a fixed direction is equal to rate of increase of momentum of the body in that direction.
•F= m.a
• =
m.du/t
• =
ρ.V.du/t
• =
Q.ρ.du
• =
Q.ρ.(v-u)
•The force act in the direction of change
in velocity dv.
•Power due to fluid
•P= F.u
• = Q.ρ.(v-u).u
Water Skiing
Two things happen to the particle of
water when it comes in contact with the ski.
Acceleration is change
in velocity over
time
F = m (DV/Dt)
The force must act in the same direction
as the acceleration vector, and the acceleration vector must act in the same
direction as the change in velocity vector determined above.
The Force on the Ski (Dynamic Fluid Force)
Newton’s 3rd
Law: for every force there is an equal
and opposite force
We’ve determined the force of the ski on
the water, therefore we now know the force of the water on the ski.
This force can be broken down into
components that act perpendicular and parallel to the direction of motion.
Lift:
Always perpendicular to motion. Not
necessarily in the up direction.
Drag :
Always parallel to motion.
Notations;
•F » ½CDrAv2
•CD = Drag
coefficient
•r
= Fluid density
•A
= Surface area perpendicular to
flow
•v
= Relative velocity of object and
fluid
THE PHYSICS OF SKIING
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