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Serggg [28]
3 years ago
12

A fan with a 14 in diameter is run for 20 min. It rotates at 400 revolutions per minute (rpm). 1 a. How far does the outermost p

oint of one of the fan blades travel during the run time?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

The distance travelled was 175840 inches.

Step-by-step explanation:

The outermost point on the fan blades is one radius away from the center of the blades, so we need to calculate the length of this circle and multiply it by the total of revolutions made in those 20 minutes. The length of the circle is given by:

length = 2*pi*r = pi*(d/2) = 3.14*(14/2) = 21.98 inches

Since the blade is rotating at a rate of 400 rev/min and the fan was running for 20 min the total of revolutions is:

revolutions = 400*20 = 8000 revolutions

Now we can calculate the distance the outermost point of the blades travelled during those 20 min. This is shown bellow:

distance = length*revolutions = 8000*21.98 = 175840 inches

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