If speed was calculated for both a 40-yard run and a 200-yard run on a track,...
If speed was calculated for both a 40-yard run and a 200-yard run on a track, would you see differences throughout the run? Why or why not?
Homework Answers
Yes, there will be a difference in the speed throughout the run in 40 yard and 200 yard track.
We know that, V = r w
Where V is the velocity, r is the radius and w is the angular velocity.
Since r is different in both the cases, even if the w is same, there will be a difference in velocity.
In a special case, when
r1 / r2 = w2 /w1 , then the velocities in both the cases will be same.
In this discussion, we are considering the magnitudes only. If we consider the directions also, then the case will be different. That means the magnitudes may be same but the directions will be always different.
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