The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
Find the circumference of the tire.
About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
C = πd ft
so, in one mile, it goes around 5280/C times
To find the circumference of the tire, we use the formula:
Circumference = π * Diameter
Given that the diameter is 2.5 ft, we can substitute this value into the formula:
Circumference = π * 2.5 ft
To evaluate this, we need to know the value of π. Let's use the approximation of 3.14 for π:
Circumference ≈ 3.14 * 2.5 ft
Circumference ≈ 7.85 ft
Therefore, the circumference of the tire is approximately 7.85 ft.
To find how many times the tire will have to rotate to travel 1 mile, we need to convert the distance from feet to the circumference of the tire:
1 mile = 5,280 ft
Number of rotations = (Distance traveled in feet) / (Circumference of the tire)
Number of rotations = 5,280 ft / 7.85 ft
Number of rotations ≈ 672.77
Therefore, the tire will have to rotate approximately 672.77 times to travel 1 mile.
To find the circumference of the tire, you can use the formula circumference = π * diameter.
Step 1: Write down the given information:
- Diameter of the tire: 2.5 ft
Step 2: Calculate the circumference using the formula:
Circumference = π * diameter
First, let's plug in the values:
Circumference = π * 2.5
Step 3: Calculate the circumference:
Circumference ≈ 3.14 * 2.5
Circumference ≈ 7.85 ft
The circumference of the tire is approximately 7.85 feet.
To find out approximately how many times the tire will have to rotate to travel 1 mile (5280 feet), you can use the equation:
Number of rotations = distance / circumference
Step 1: Write down the given information:
- Distance to travel: 1 mile = 5280 ft
- Circumference of the tire: 7.85 ft
Step 2: Calculate the number of rotations using the equation:
Number of rotations = distance / circumference
Plugging in the values, we get:
Number of rotations = 5280 / 7.85
Step 3: Calculate the number of rotations:
Number of rotations ≈ 672.61
Therefore, the tire will have to rotate approximately 672.61 times to travel 1 mile.