How to Develop Required Amount of Centripetal Force

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Transcript How to Develop Required Amount of Centripetal Force

Centrifugal and
Centripetal Force
Centripetal versus centrifugal force
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Centripetal is an inward seeking force while
centrifugal force is an outward pulling force.
The ground exerts centripetal force on a runner
(via the foot) or cyclist (via the wheel) when
they lean into a curve.
The amount of centripetal force necessary to
prevent a runner from toppling outward
(outward pulling force, centrifugal) is directly
related to the mass and velocity of the runner.
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The centrifugal force is producing an opposite
pull to centripetal force.
In the case of both the runner and cyclist, the
axis of rotation is either the foot or the bicycle
wheel.
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A hammer thrower exerts an inward directed force
(centripetal) on the hammer via the wire.
In addition, an outward-pulling force (centrifugal) is
exerted by the hammer on the thrower.
Centripetal force is also important in swinging moves
in gymnastics, discuss throwing, or any rotatory
activities.
Once an implement (i.e., discuss, hammer) is
released, its inertia will allow it to follow a linear
path.
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Remember, centripetal and centrifugal force
are exerted whenever a body moves on a
curved path.
Because centripetal and centrifugal forces act
opposite each other and possess the
same magnitude, the equation is same for
both.
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According to the Newton’s first law of motion
a moving body if left alone travels uniformly
in a straight line.
To make the body to leave the straight path
requires force.
When an objects swings around and at the end
of a piece of a string it moves in a circular
path.
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The force causing the object to move in a
circular path and change its direction
continuously is called centripetal force.
It is a constant force acting to move the object
at right angles to the direction it is moving at
any instant and therefore causing it to move in
a circular path.
Even though the velocity of the constant object
is constant its direction changes continuously.
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This means that acceleration is occurring.
Since by definition the acceleration is rate of
change in velocity, the acceleration occurring
as an objects moves around a circle at a
constant speed is of the magnitude v2/r
Where:
v = linear velocity of object
r = radius of rotation
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From Newton’s second law we know that
F= ma
Therefore
Centripetal or centrifugal Force (FC)
FC = mv²/r
Where,
m = mass of object
v = velocity of object squared
r = distance of object’s center of
gravity from axis of rotation
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The centripetal force has to be applied to the
object moving in a circular path by another
object.
Newton’s third law states that the second
object which applies the force must be acted
on by an equal and opposite force.
In the case of the object on a string, the fingers
applies the force to the object through string.
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The finger in contrast also feels a pulling force
on it and this force is called centrifugal force.
If centripetal force ceases, there is no longer an
inward pull on the object and then the object
flies off on a tangent to the direction in which
it was moving at the instant force was stoped.
Without centripetal force there will be no
centrifugal force and the object will now move
in a straight line.
How to Develop Required Amount
of Centripetal Force
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By acquiring an inward lean.
By providing artificial lean.
By pulling towards center of rotation.
By reducing radius radius of rotation.
By providing sufficient amount of friction.