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Further Mechanics
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What is angular displacement?
The
angle
something
rotates
through about a
fixed
point.
(Δθ)
Arc length is equal to...
radius
x
angular displacement
(Δs=
rΔθ
)
What is angular speed, ?
Rate of change of rotation, rate of change of angular displacement.
For a full cycle, ω is equal to
change in
angular displacement
divided
by change in
time
For a full cycle, ω is equal to
2π/T
where
T
is the time period
or
2πf
where
f
is the frequency
Do objects in circular motion have the same linear and angular speed?
No.
Linear speed, v, is equal to
the change in displacement divided by time (v=s/t)
[
radius
x
change
in
angle
]
divided
by time (v=rΔθ/t)
radius
x
angular
speed
(v=r)
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