The wheel in a bicycle has a diameter of 2 feet. if the wheel is turning at 50 rpm (revolutions per minute), how far, in feet, will the bicycle travel in 20 minutes?
2π ft/rev * 50 rev/min * 20 min = 2000π ft
To find how far the bicycle will travel in 20 minutes, we need to calculate the distance covered per revolution and then multiply it by the total number of revolutions in 20 minutes.
First, let's find the circumference of the wheel. The circumference of a circle can be found using the formula: circumference = π × diameter.
Given that the diameter of the wheel is 2 feet, we can calculate the circumference as follows:
Circumference = π × diameter
Circumference = π × 2 feet
Circumference = 2π feet
Next, we need to find the distance covered per revolution. Since the circumference of the wheel is equal to the distance traveled in one revolution, we can say that the distance covered per revolution is 2π feet.
Now, let's find the total number of revolutions in 20 minutes. We know that the wheel is turning at 50 rpm (revolutions per minute). So, in 20 minutes, the total number of revolutions can be calculated as follows:
Total revolutions = 50 rpm × 20 minutes
Finally, to determine how far the bicycle will travel in 20 minutes, we multiply the distance covered per revolution by the total number of revolutions:
Distance = distance per revolution × total revolutions
Distance = 2π feet × (50 rpm × 20 minutes)
Now we can calculate the answer:
Distance = 2π × 50 × 20 feet
Distance ≈ 6283.185 feet
Therefore, the bicycle will travel approximately 6283.185 feet in 20 minutes.