A man travels 22 miles in a motorcycle. If the diameter of the wheel is 2 ft then how many times the wheel has rotated?

circumference = π × diameter

In this case, the diameter of the wheel is 2 feet, so the circumference of the wheel is:

circumference = π × 2 = 6.28 feet

To find out how many times the wheel has rotated, we need to divide the distance traveled by the circumference of the wheel:

number of rotations = distance traveled / circumference of the wheel

Since the distance traveled is given as 22 miles, we need to convert it to feet:

22 miles = 22 x 5280 feet (1 mile = 5280 feet) = 116,160 feet

Now we can substitute the values in the formula:

number of rotations = 116160 / 6.28 = 18,487.58 (rounded to two decimal places)

Therefore, the wheel has rotated approximately 18,487.58 times.