A bicycle has 26-inch diameter wheels. If the wheels revolved 2 times after the brakes were applied, the stopping distance is approximately _____.
What's the answer? Provide a thorough explanation as well, please.
circumference is 26*pi
wheel turned twice, traveling 26*pi*2 inches
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To determine the stopping distance of a bicycle with 26-inch diameter wheels when the wheels revolve 2 times, we will need to calculate the circumference of the wheels and then multiply it by 2.
First, let's find the circumference of the wheels. The formula to calculate the circumference of a circle is given by:
Circumference = π * diameter
Given that the diameter of the wheels is 26 inches, we can substitute it into the formula:
Circumference = π * 26 inches
Now, we can determine the value of π (pi), which is a mathematical constant approximately equal to 3.14159. By multiplying it with the diameter, we can calculate the circumference:
Circumference = 3.14159 * 26 inches
Calculating further, we get:
Circumference ≈ 81.6814 inches
Since the wheels revolved 2 times, we will need to find the total distance covered by the wheels. When the wheels complete one revolution, they cover a distance equal to the circumference. Therefore, for 2 revolutions, the distance covered will be twice the circumference:
Total distance = 2 * Circumference
Substituting the value of the circumference, we get:
Total distance ≈ 2 * 81.6814 inches
Calculating further:
Total distance ≈ 163.3628 inches
Therefore, the stopping distance of the bicycle is approximately 163.3628 inches when the wheels revolve 2 times after the brakes are applied.