Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches

Respuesta :

The distance the blades travel in 1/5 of a rotation is 32.67 in

Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length

What is the length of an arc?

The length of an arc is given by

L = Ф/360° × 2πr where

  • Ф = angle of rotation and
  • r = length of blades of fan

Since

  • Ф = 1/5 of a rotation = 1/5 × 360° = 72° and
  • r = 26 in

The distance the blades travel

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πr

L = 72°/360° × 2π × 26 in

L = 1/5 × 52π in

L = 10.4π in

L = 32.67 in

So, the distance the blades travel in 1/5 of a rotation is 32.67 in

Learn more about length of an arc here:

https://brainly.com/question/8402454

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