A bike wheel has a radius of 40 inches. If Mary rides the bike 1 mile (63,360mi.), approximately how many times has the wheel rotated?
Are you sure? I've never seen a bike with a wheel diameter of almost 7 feet.
4.01449x10^9 inch is One Mile
(4.01449x10^9) / 40 =
100,362,250 wheel rotations in one mile
To calculate the number of rotations, we need to find the circumference of the bike wheel and then divide the distance Mary rides by the circumference.
The circumference of a circle can be calculated using the formula: circumference = 2 * π * radius.
Given that the radius of the bike wheel is 40 inches, we can calculate the circumference as follows:
circumference = 2 * π * 40 inches
Now, let's convert the distance Mary rides from miles to inches:
1 mile = 63,360 inches
Finally, we can calculate the number of rotations by dividing the distance by the circumference:
number of rotations = distance / circumference
number of rotations = 63,360 inches / (2 * π * 40 inches)
Simplifying the expression, we get:
number of rotations ≈ 1,000
Therefore, approximately 1,000 rotations have been made by the wheel as Mary rides the bike 1 mile.