Answer:
Explanation:
According to Newton's second law, the tension in the string is equal to the centripetal force, since the mass is under an uniform circular motion:
Here is the centripetal acceleration, which is defined as:
So, replacing:
In this case we have , and . Thus, the tension required to mantain uniform circular motion is:
Explanation:
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The circumference of a circle is (pi) x (the diameter).
If the diameter of the wheel is 18 inches (1.5 feet), then its circumference is
(pi) x (1.5 feet) = 1.5π feet .
Every time the wheel rotates once, the car moves 1.5π feet.
1 mile = 5,280 feet
In order for the car to move 5,280 feet, the wheel has to rotate
(5,280 / 1.5π) times.
(5,280 / 1.5π) = 1,120.4508 times
Rounded to the nearest whole number: <em>1,120 revolutions</em>