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 = πd
Since it revolved twice = 2πd
Insert values and calculate.
To determine the stopping distance of a bicycle with 26-inch diameter wheels after the wheels have revolved 2 times, we need to understand a few important concepts.
First, we need to find the circumference of the bicycle wheels. The circumference of a circle can be calculated using the formula:
Circumference = π * Diameter
Given that the diameter of the wheels is 26 inches, we can calculate the circumference as follows:
Circumference = π * 26 inches
Next, we need to determine how far the bicycle travels with each revolution of the wheels. Since the circumference of the wheels represents the distance traveled in one revolution, by multiplying this value by the number of wheel revolutions, we can find the total distance traveled. In this case, we are given that the wheels revolve 2 times, so the total distance traveled can be calculated as follows:
Total Distance Traveled = 2 * Circumference
Now, we have all the information needed to find the stopping distance. The stopping distance is the distance traveled by the bicycle after the brakes have been applied. Assuming the bicycle comes to a complete stop after 2 wheel revolutions, the stopping distance will be the same as the total distance traveled.
To approximate the value of π, we will use the commonly accepted approximation of 3.14.
Using this approximation and the calculations we performed earlier, we can find the stopping distance as follows:
Circumference = π * 26 inches = 3.14 * 26 inches = 81.64 inches
Total Distance Traveled = 2 * Circumference = 2 * 81.64 inches = 163.28 inches
Therefore, the approximate stopping distance for the bicycle is 163.28 inches.