A bike tire has a radius of 30 cm. If the tire makes one rotation every 4 seconds, how far will the rider travel in 1 minute?

Question

 A bike tire has a radius of 30 cm. If the tire makes one rotation every 4 seconds, how far will the rider travel in 1 minute?

Answer 1

First let's see how many complete revolutions the tire will make in 1 min

Since there are 60 seconds in a minute then

how many 4 second intervals do we get in 60 secs?

4x = 60

x = 15

The tire makes 15 revolutions in a minute

 

Now we need to know how much distance each revolution will cover so we need the

circumference of the tire

C = 2πr = 2π(30cm) = 60π cm per revolution

 

Since we make 15 revolutions we have the total distance of

15(60π cm) = 900π cm

Using 3.14 for pi we have 900(3.14) = 2826 cm travelled