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Consider two spinning tops with different radii. Both have the same linear instantaneous velocities at their edges. Which top has a smaller angular velocity? the top with the smaller radius because the radius of curvature is inversely proportional to the angular velocity the top with the smaller radius because the radius of curvature is directly proportional to the angular velocity the top with the larger radius because the radius of curvature is inversely proportional to the angular velocity The top with the larger radius because the radius of curvature is directly proportional to the angular velocity

Sagot :

Answer:

the top with the largest radius because the radius of curvature is inversely proportional to the angular velocity

Explanation:

Angular and linear velocity are related

         v = w r

         w = v / r

Therefore, if the linear velocity of the two is the same, the one with the smaller radius has the higher angular velocity.

When reviewing the answers, the correct one is:

the top with the largest radius because the radius of curvature is inversely proportional to the angular velocity

The top that has a smaller angular velocity is D. the top with the larger radius because the radius of curvature is directly proportional to the angular velocity.

It should be noted that the top that has a higher angular velocity will be the top with the smaller radius because the radius of curvature is inversely proportional to the angular velocity

On the other hand, since the two spinning tops have different radii while both have the same linear instantaneous velocities at their edges, then the top that has a smaller angular velocity is the top with the larger radius because the radius of curvature is directly proportional to the angular velocity.

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