The wheel of a bicycle has a diameter of 25 inches. How many turns does the wheel make in traveling 1 mile (5,280 feet)? Round your answer to the nearest full turn
C = pi * d
C = 3.14 * 25
C = 78.5 inches
78.5 / 12 = 6.5417 feet
5280 / 6.5417 = 807.1296 = 807 turns
To find the number of turns the wheel makes in traveling 1 mile, we need to determine the circumference of the wheel and then divide the distance traveled in a mile by the circumference.
The circumference of a circle is given by the formula: C = π * d, where C is the circumference and d is the diameter. In this case, the diameter is 25 inches.
C = π * d
C = π * 25 inches
Now we need to convert the distance traveled in a mile to inches. There are 5,280 feet in a mile, and since there are 12 inches in a foot, we multiply 5,280 by 12 to get the distance in inches.
Distance in inches = 5,280 feet * 12 inches/foot
Now we can calculate the number of turns by dividing the distance traveled in a mile by the circumference of the wheel:
Number of turns = (Distance in inches) / (Circumference)
Let's calculate it step by step:
Step 1: Calculate the circumference
C = π * 25 inches
C ≈ 3.1416 * 25 inches
C ≈ 78.54 inches
Step 2: Calculate the distance in inches
Distance in inches = 5,280 feet * 12 inches/foot
Distance in inches = 63,360 inches
Step 3: Calculate the number of turns
Number of turns ≈ 63,360 inches / 78.54 inches
Number of turns ≈ 806.93
Rounded to the nearest full turn, the wheel makes approximately 807 turns in traveling 1 mile.
To find out how many turns the wheel makes in traveling 1 mile, we first need to determine the circumference of the wheel.
The circumference of a circle is found using the formula:
Circumference = π * diameter
Given that the diameter of the wheel is 25 inches, we can calculate the circumference:
Circumference = π * 25 inches
Now, we need to convert the distance of 1 mile into inches since the diameter was given in inches. There are 5,280 feet in 1 mile, and since there are 12 inches in a foot, we can calculate the distance in inches:
Distance in inches = 5,280 feet * 12 inches/foot
Once we have both the circumference of the wheel and the distance in inches, we can find the number of turns the wheel makes:
Number of turns = Distance in inches / Circumference
Let's calculate it:
Circumference = π * 25 inches
Circumference ≈ 3.1416 * 25 inches
Circumference ≈ 78.54 inches
Now, let's convert the distance:
Distance in inches = 5,280 feet * 12 inches/foot
Distance in inches = 63,360 inches
Finally, let's calculate the number of turns:
Number of turns = Distance in inches / Circumference
Number of turns = 63,360 inches / 78.54 inches
Calculating this, we find that the number of turns is approximately 806.96 turns. Rounded to the nearest full turn, the wheel makes 807 turns in traveling 1 mile.