Your bike tire has a radius of 14 inches. If you travel a distance of 56 feet on your bike, how many complete revolutions did your bike tire make?
To calculate the number of complete revolutions your bike tire made, we need to understand the relationship between the tire's circumference and a complete revolution.
The circumference of a circle is given by the formula:
C = 2πr,
where C represents the circumference and r represents the radius of the circle.
In this case, the radius of your bike tire is given as 14 inches. Plugging this value into the formula, we get:
C = 2π(14) = 28π inches.
Since there are 12 inches in a foot, we need to convert the distance traveled from feet to inches. To do this, we multiply the distance by 12:
Distance in inches = 56 feet × 12 inches/foot = 672 inches.
Now, we can find the number of complete revolutions by dividing the distance traveled by the tire's circumference:
Revolutions = Distance in inches / Circumference = 672 inches / 28π inches ≈ 24 revolutions.
Therefore, your bike tire made approximately 24 complete revolutions.
To find the number of complete revolutions your bike tire made, we need to convert the distance traveled into a distance along the circumference of the tire.
First, we need to convert the distance traveled into inches, as the radius of the tire is given in inches. Since 1 foot is equal to 12 inches, we can multiply the distance traveled by 12:
56 feet * 12 inches/foot = 672 inches
Next, we need to calculate the circumference of the tire, which is given by the formula:
Circumference = 2 * π * radius
Where π is a constant approximately equal to 3.14159.
Plugging in the radius of 14 inches, we can calculate the circumference:
Circumference = 2 * 3.14159 * 14 inches = 87.9644 inches (rounded to four decimal places)
Finally, we can find the number of complete revolutions by dividing the total distance traveled by the circumference of the tire:
Number of revolutions = Total distance traveled / Circumference of the tire
Number of revolutions = 672 inches / 87.9644 inches ≈ 7.63
Therefore, your bike tire made approximately 7.63 complete revolutions.