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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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Answer: 375 seconds

Step-by-step explanation:

Diameter = 8 feet, therefore Radius(r) = 8/2 = 4 feet

Speed = 6.7 feet per second

Circumference of a circle = 2πr

diameter (d) = 2r

Circumference = dπ

Circumference = 8π feet (distance traveled)

Time = distance ÷ speed

Time = 8π feet / 6.7 feet/sec

Time = 1.1940298π sec

1 revolution takes 1.1940298π seconds

Therefore 100 revolutions :

100 × 1.1940298π second

= 119.40298π second

374.92537 seconds

= 375 seconds

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