A person has a measuring wheel that records the distance the wheel is rolled along the ground. The circumference of the wheel is one yard. If the wheel is pushed half a mile, how many times will the wheel go around (1mi=5280 ft)?
- find out how many feet are in 1 yard
- divide 5280 feet by 2 (which would equal half a mile)
- take that number and divide by how many feet the circumference of the wheel is
880
To find out how many times the wheel will go around, we need to first convert half a mile into yards since the circumference of the wheel is given in yards.
1 mile is equal to 1760 yards (since 1 mile = 5280 ft and 1 yard = 3 ft).
So, half a mile is equal to 880 yards (since half of 1760 is 880).
Now, since the circumference of the wheel is one yard, we can say that for every complete rotation of the wheel, it covers a distance equal to its circumference, which is one yard.
Therefore, the number of times the wheel will go around is equal to the distance covered divided by the circumference of the wheel.
The distance covered is 880 yards, and the circumference of the wheel is one yard.
Thus, the wheel will go around 880 times.