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A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?
  • a)
    750pi
  • b)
    1500pi
  • c)
    1875pi
  • d)
    3000pi
  • e)
    7500pi
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A point on the edge of a fan blade that is rotating in a plane is 10 c...
To find the distance traveled by the point on the fan blade, we need to calculate the circumference of the circular path it travels in 15 seconds.
First, let's find the number of revolutions the fan blade makes in 15 seconds:
Number of revolutions = (300 revolutions/minute) * (15 seconds/60 seconds) = 75 revolutions
Next, let's find the circumference of the circular path:
Circumference = 2πr, where r is the distance from the center to the point on the fan blade
Circumference = 2π * 10 = 20π centimeters
Finally, let's calculate the total distance traveled by the point on the fan blade:
Distance traveled = Number of revolutions * Circumference = 75 * 20π = 1500π centimeters
Therefore, the correct answer is option B: 1500π centimeters.
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Most Upvoted Answer
A point on the edge of a fan blade that is rotating in a plane is 10 c...
To find the distance traveled by the point on the fan blade, we need to calculate the circumference of the circular path it travels in 15 seconds.
First, let's find the number of revolutions the fan blade makes in 15 seconds:
Number of revolutions = (300 revolutions/minute) * (15 seconds/60 seconds) = 75 revolutions
Next, let's find the circumference of the circular path:
Circumference = 2πr, where r is the distance from the center to the point on the fan blade
Circumference = 2π * 10 = 20π centimeters
Finally, let's calculate the total distance traveled by the point on the fan blade:
Distance traveled = Number of revolutions * Circumference = 75 * 20π = 1500π centimeters
Therefore, the correct answer is option B: 1500π centimeters.
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A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?a)750pib)1500pic)1875pid)3000pie)7500piCorrect answer is option 'B'. Can you explain this answer?
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