UNIFORM CIRCULAR MOTION
Uniform circular motion is the motion of an object traveling at a constant speed
on a circular path. The velocity vector is not constant since the direction of velocity is
continually and uniformly changing as the object moves around the circle. In uniform
circular motion, the magnitudes of the velocity and centripetal acceleration are
constant.
Centripetal Acceleration. Any change in the velocity vector, even if it is only a
change in direction, means that an acceleration is occurring. This particular
acceleration is called “centripetal acceleration”, because it points toward the center of
the circle and is perpendicular to the velocity at each instant. As the direction of the
velocity changes, the direction of the acceleration also changes. The centripetal
acceleration is proportional to the square of its speedand inversely proportional to the
radius of its path.
ac = v
2
/r (Centripetal Acceleration)
In circular motion, the frequency is the number of revolutions N per unit time t.
f = N/t (Frequency)
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