A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it tak

Question

A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second.

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1 week 2021-10-07T15:10:12+00:00 1 Answer 0

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  1. Charlotte
    0
    2021-10-07T15:11:13+00:00

    Answer:

    375 seconds.

    Step-by-step explanation:

    Step 1

    The first step is to find the Circumference of the paddle.

    The Circumference of a paddle = Circumference of a circle = 2πr or πD

    Where D = Diameter of the circle or Diameter of the paddle

    In the question above,

    Diameter of a paddle = 8 feet

    Circumference of the paddle= πD

    = π × 8

    = 25.132741229 feet

    Step 2

    We have to find out first, the time it would take for the paddle to complete one revolution.

    This is calculated using the formula:

    Time(t) = distance travelled ÷ Speed travelled by the fins along the outer edge of the paddle

    In the question,

    Speed travelled by the fins along the outer edge of the paddle = 6.7 feet per second

    It is important to note that the distance travelled is = Circumference of the paddle = 25.132741229 feet

    Time taken to complete one revolution = 25.132741229 feet ÷ 6.7 feet per second

    Time taken to complete one revolution. = 3.7511554073 seconds

    Approximately = 3.75 seconds.

    Step 3

    If , 1 full revolution of the paddle takes = 3.75 seconds

    100 revolutions =

    100 × 3.75 seconds

    = 375 seconds.

    Therefore, it takes the paddle wheel 375 seconds to complete 100 full revolutions.

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