Question

A paddle wheel on a boat is 4 feet in diameter. The fins along the outer edge travel at a speed of 1.3 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second.

Answer 1

Answer:

Time taken to complete 100 revolutions will be 964 s

Step-by-step explanation:

Diameter of paddle wheel = 4 ft

So, circumference of wheel = C = π d

=> C = 4π

We know, the formula of speed s = d/t

where d is distance traveled and t is time taken.

We are given speed s= 1.3

Distance of wheel is equal to its circumference so, time taken will be:

s= d/t

=> t = d/s

=> t = 4π / 1.3

=> t = 3.07 * 3.14 s

=> t = 9.64 s

So, time taken to complete 100 revolutions will be:

9.64 * 100 = 964 s

Time taken to complete 100 revolutions will be 964 s