The velocity vector v
is at each instant of time t given by
the time derivative of the position vector
r.
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v(t) =
dr(t)/dt =
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(
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)
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=
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(
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)
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since
dx(t)/dt
= d( R cos(ωt) )/dt
= -ωR sin(ωt)
and
dy(t)/dt
= d( R sin(ωt) )/dt
= ωR cos(ωt)
The resulting velocity vector is indicated in the above video.
Notice that v and r
are perpendicular.
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