What is BEST to say about a runner who is running at a constant velocity? A. Their acceleration is positive. B. Their accelerati
2 answers:
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The tip of the fan moves through the outer side of the circle.
So it moves a distance of perimeter of circle in one revolution.
Perimeter of circle = 2r, where r is the radius of circle.
In this case radius of circular motion = 0.19 meter
So perimeter of circle = 2*0.19 = 0.38
= 1.194 m
So distance does the tip move in one revolution = 1.194 meter
The tension in the string B) It quadruples.
Explanation:
The ball is in uniform circular motion in a horizontal circle, so the tension in the string is providing the centripetal force that keeps the ball in circular motion. So we can write:
where:
T is the tension in the string
m is the mass of the ball
v is the speed of the ball
r is the radius of the circle (the lenght of the string)
In this problem, we are told that the speed of the ball is doubled, so
v' = 2v
Substituting into the previous equation, we find the new tension in the string:
Therefore, the tension in the string will quadruple.
Learn more about circular motion:
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