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homework help 450

I found ##0.25m/s## and ##0.125″rad/s”##.

The linear speed will be:
##v=”distance”/”time”=5/20=0.25m/s##
The angular speed is:
##omega=”angle”/”time”=theta/t##
but…how do we find the angle described by our object????
We know that between radius, ##r##, angle ##theta## (in radians) and arc length ##s## there is a relationship as:
##s=rtheta##
so ##theta=s/r=5/2##rad
Finally then:
##omega=(5/2)/20=0.125″rad/s”##

The two speeds are also connected through the radius as:
##v=omega*r##…try it!!! 🙂

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