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.
