A bicycle with a 26-inch wheel(diameter) travels a distance of 700 feet. How many revolutions does the wheel make?
seven
To find the number of revolutions the wheel makes, we need to know the circumference of the wheel.
The circumference of a circle can be found using the formula:
Circumference = π * diameter
In this case, the diameter of the wheel is given as 26 inches. We can calculate the circumference using the formula:
Circumference = π * 26
Next, we need to convert the distance traveled from feet to inches since the circumference is in inches.
Since there are 12 inches in a foot, we can multiply the distance traveled (700 feet) by 12 to get the distance in inches:
Distance in inches = 700 * 12
Once we have the circumference and the distance in inches, we can calculate the number of revolutions using the formula:
Number of revolutions = Distance in inches / Circumference
Let's plug in the values and calculate the number of revolutions:
Circumference = π * 26
Distance in inches = 700 * 12
Number of revolutions = Distance in inches / Circumference
Therefore, we can solve for the number of revolutions by substituting the respective values in the formula.
Note: We will assume π (pi) to be approximately 3.14 for this calculation.
Circumference = 3.14 * 26 inches
Distance in inches = 700 * 12 inches
Number of revolutions = (700 * 12) / (3.14 * 26)
By calculating this expression, we get the number of revolutions made by the wheel.