To determine the distance traveled by a car wheel based on rotations made, will you be working with area or circumference?
11 answers
You will be working with circumference. The circumference of a circle is the distance around the outside of the circle, which in this case represents the distance traveled by the car wheel with each rotation.
What is the circumference of a tire with a diameter of 16 in.? **Tips: C= n*d OR C=2*п*r.
The circumference of a tire can be found using either formula.
Using the formula C = π * d, where d is the diameter of the tire:
C = π * 16 in.
C = 3.14 * 16 in.
C ≈ 50.24 inches
Using the formula C = 2 * π * r, where r is the radius of the tire (half of the diameter):
r = 16 in. / 2 = 8 in.
C = 2 * π * 8 in.
C = 2 * 3.14 * 8 in.
C ≈ 50.24 inches
Therefore, the circumference of a tire with a diameter of 16 inches is approximately 50.24 inches.
Using the formula C = π * d, where d is the diameter of the tire:
C = π * 16 in.
C = 3.14 * 16 in.
C ≈ 50.24 inches
Using the formula C = 2 * π * r, where r is the radius of the tire (half of the diameter):
r = 16 in. / 2 = 8 in.
C = 2 * π * 8 in.
C = 2 * 3.14 * 8 in.
C ≈ 50.24 inches
Therefore, the circumference of a tire with a diameter of 16 inches is approximately 50.24 inches.
How many times does a tire with a diameter of 25 in. rotate when it travels a mile? **Tip: As there are 63,360
inches in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole number
inches in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole number
The circumference of a tire with a diameter of 25 inches can be found by using the formula C = π * d, where d is the diameter of the tire.
Given:
d = 25 inches
C = π * 25
C ≈ 3.14 * 25
C ≈ 78.5 inches
To determine how many times the tire rotates when traveling a mile, we need to divide the total distance in inches in a mile by the circumference of the tire:
Total distance in a mile = 63,360 inches
Number of rotations = 63,360 inches / 78.5 inches ≈ 808.76
Since we need to round up to the next whole number, the tire with a diameter of 25 inches would rotate 809 times when traveling a mile.
Given:
d = 25 inches
C = π * 25
C ≈ 3.14 * 25
C ≈ 78.5 inches
To determine how many times the tire rotates when traveling a mile, we need to divide the total distance in inches in a mile by the circumference of the tire:
Total distance in a mile = 63,360 inches
Number of rotations = 63,360 inches / 78.5 inches ≈ 808.76
Since we need to round up to the next whole number, the tire with a diameter of 25 inches would rotate 809 times when traveling a mile.
What is the circumference of a tire with a diameter of 36 in.? **Tips: C= n*d OR C=2*п*r.
To find the circumference of a tire with a diameter of 36 inches, we can use either formula:
1. Using the formula C = π * d, where d is the diameter of the tire:
C = π * 36 in
C ≈ 3.14 * 36 in
C ≈ 113.04 inches
2. Using the formula C = 2 * π * r, where r is the radius of the tire (half of the diameter):
r = 36 in / 2 = 18 in
C = 2 * π * 18 in
C ≈ 2 * 3.14 * 18 in
C ≈ 113.04 inches
Therefore, the circumference of a tire with a diameter of 36 inches is approximately 113.04 inches.
1. Using the formula C = π * d, where d is the diameter of the tire:
C = π * 36 in
C ≈ 3.14 * 36 in
C ≈ 113.04 inches
2. Using the formula C = 2 * π * r, where r is the radius of the tire (half of the diameter):
r = 36 in / 2 = 18 in
C = 2 * π * 18 in
C ≈ 2 * 3.14 * 18 in
C ≈ 113.04 inches
Therefore, the circumference of a tire with a diameter of 36 inches is approximately 113.04 inches.
How many times does a tire with a diameter of 36 in. rotate when it travels a mile? **Tip: As there are 63,360
in. in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole
number.
in. in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole
number.
Given that the circumference of a tire with a diameter of 36 inches is approximately 113.04 inches, we can calculate the number of rotations the tire makes when traveling a mile.
Total distance in a mile = 63,360 inches
Number of rotations = 63,360 inches / 113.04 inches ≈ 561.00
Since we need to round up to the next whole number, the tire with a diameter of 36 inches would rotate 562 times when traveling a mile.
Total distance in a mile = 63,360 inches
Number of rotations = 63,360 inches / 113.04 inches ≈ 561.00
Since we need to round up to the next whole number, the tire with a diameter of 36 inches would rotate 562 times when traveling a mile.
Based on the tire experiment, will it take more, fewer, or the same rotations for a monster truck with 6ft (72 inches) tires to travel one mile compared to the other 3 tires from before? (1 point)
To determine the number of rotations a monster truck with 6 ft (72 inches) tires would make when traveling one mile, we need to find the circumference of the larger tires and compare it to the circumference of the tires mentioned earlier.
Given:
- Diameter of monster truck tires = 6 ft = 72 inches
- Circumference of monster truck tires = π * 72 ≈ 226.08 inches
Comparing the circumference of the monster truck tires to the other tires:
- The tire with a diameter of 16 inches had a circumference of approximately 50.24 inches.
- The tire with a diameter of 25 inches had a circumference of approximately 78.5 inches.
- The tire with a diameter of 36 inches had a circumference of approximately 113.04 inches.
It is evident that the monster truck tires with a circumference of 226.08 inches will require fewer rotations compared to the other tires to cover the same distance of one mile.
Given:
- Diameter of monster truck tires = 6 ft = 72 inches
- Circumference of monster truck tires = π * 72 ≈ 226.08 inches
Comparing the circumference of the monster truck tires to the other tires:
- The tire with a diameter of 16 inches had a circumference of approximately 50.24 inches.
- The tire with a diameter of 25 inches had a circumference of approximately 78.5 inches.
- The tire with a diameter of 36 inches had a circumference of approximately 113.04 inches.
It is evident that the monster truck tires with a circumference of 226.08 inches will require fewer rotations compared to the other tires to cover the same distance of one mile.
1 answer