Which motion map represents an object moving in uniform circular motion with the greatest tangential speed?
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Answer : Figure B shows maximum tangential speed.
Explanation :
When a body is moving in a circular path of radius r and angular velocity [tex]\omega[/tex], then its tangential speed is given by :
[tex]v=r\ \omega[/tex]
or it can also defined as :
In circular motion distance covered by particle is, [tex]d=2\pi r[/tex]
and if t is the time.
So, [tex]v=\dfrac{2\pi r}{T}[/tex]
In circular motion the object moves tangentially and the magnitude of tangential speed is same in all direction.
So, figure (B) shows the greatest tangential speed.