Question

the massive rear tire of a tractor rotates and moves the tractor 100 yards across a field in 4 minutes. Determine the linear velocity of the outer edge of the massive tire. Is the linear velocity of the outer edge of the smaller tire faster or slower than the massive tire? Which has a greater angular velocity?

Answer 1

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Answer:

a) 25 yards per minute

b) linear velocity is the same

c) smaller tire has greater angular velocity

Explanation:

a) The linear velocity of the edge of the tire is the same as the linear velocity of the tractor: (100 yd)/(4 min) = 25 yd/min

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b) All parts of the tractor have the same linear velocity. The outer edge of the smaller tire is moving at the same linear velocity.

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c) Because the smaller tire must make more turns to cover the same distance in the same time, its angular velocity (turns/time) is greater.

The smaller tire has greater angular velocity.