To the nearest hundredth, how many revolutions does a wheel with a diameter of 20 inches make if it travels 500 feet?
circumference is .... π * diameter
one circumference per revolution
12 inches in a foot
Circumference = pi * dia. = 3.14 * 20 = 62.8 in. = 5.233 Ft.
d = 500Ft. * 1rev./5.233Ft =
To determine the number of revolutions, we need to find the circumference of the wheel and divide the distance traveled by it.
The circumference of a circle is given by the formula:
Circumference = π * Diameter
Let's calculate the circumference:
Circumference = π * 20 inches
Circumference ≈ 62.83 inches
Now, we can convert the distance traveled from feet to inches since the circumference is in inches:
Distance traveled = 500 feet * 12 inches/foot
Distance traveled = 6000 inches
Next, we can calculate the number of revolutions by dividing the distance traveled by the circumference of the wheel:
Number of revolutions = Distance traveled ÷ Circumference
Number of revolutions ≈ 6000 inches ÷ 62.83 inches
Calculating this gives us:
Number of revolutions ≈ 95.61 revolutions
Therefore, to the nearest hundredth, a wheel with a diameter of 20 inches will make approximately 95.61 revolutions if it travels 500 feet.
To determine the number of revolutions a wheel makes when it travels a certain distance, we need to take into account the relationship between the diameter of the wheel and the distance it travels.
First, we know that the circumference of a circle is found by multiplying the diameter by π (pi), which is approximately 3.14159. So the circumference (C) of the wheel is:
C = π * d
C = 3.14159 * 20
C ≈ 62.8318 inches
Next, we can calculate the number of inches per revolution by dividing the distance traveled by the circumference of the wheel:
Inches per revolution = distance traveled / circumference of wheel
Inches per revolution = 500 feet * 12 inches / 62.8318 inches
Inches per revolution ≈ 96.1317 inches
Finally, we can find the number of revolutions by dividing the total distance traveled by the inches per revolution:
Number of revolutions = distance traveled / inches per revolution
Number of revolutions = 500 feet * 12 inches / 96.1317 inches
Number of revolutions ≈ 62.0024 revolutions
To the nearest hundredth, a wheel with a diameter of 20 inches will make approximately 62.00 revolutions when it travels 500 feet.