A bicycle with tires .064 m in diameter travels 8.1 km.

1. How many revolutions do the wheels make?

(Distance traveled)/(wheel circumference)

= 8100 m/(pi*D)= ___

Make sure D is in meters also

To find the number of revolutions the wheels make, we need to know the circumference of the wheels and the distance traveled by the bicycle.

To calculate the circumference of a circle (which represents the path traced by the wheels), we can use the formula:

Circumference = 2 * π * radius

Given that the diameter of the wheels is 0.064 m, we can find the radius by dividing the diameter by 2:

radius = 0.064 m / 2 = 0.032 m

Substituting this value into the formula, we have:

Circumference = 2 * π * 0.032 m = 0.20106 m

The circumference of the wheels is approximately 0.20106 m.

Now, we have the distance traveled by the bicycle, which is 8.1 km. However, the circumference of the wheels is in meters. We need to convert the distance to meters before proceeding.

1 kilometer = 1000 meters

So, 8.1 km = 8.1 * 1000 m = 8100 m

To calculate the number of revolutions, we divide the distance traveled by the circumference of one revolution:

Number of revolutions = Distance traveled / Circumference

Number of revolutions = 8100 m / 0.20106 m ≈ 40298 revolutions

Thus, the wheels make approximately 40298 revolutions.