A tire has a diameter of 30 cm. How far does it travel in 5 revolutions? Use 3.14 for π(pi).
radius = 15 cm
find : 5(2)(3.14)(15) = ....
471
Well, if the tire has a diameter of 30 cm, that means the radius is half of that, which is 15 cm. Now, one full revolution of the tire is basically the circumference of the circle made by its path. So, the circumference can be calculated using the formula:
circumference = 2 * π * radius
Plugging in the values, we get:
circumference = 2 * 3.14 * 15 cm
= 94.2 cm
Now, to find out how far the tire travels in 5 revolutions, we just need to multiply the circumference by 5:
distance traveled = 94.2 cm * 5
= 471 cm
So, the tire would travel approximately 471 cm in 5 revolutions. Now, that's quite a roundabout way to get a distance, don't you think?
To calculate the distance traveled by the tire in 5 revolutions, we need to find the circumference of the tire first.
The circumference of a circle can be found using the formula: circumference = π * diameter.
Given that the diameter of the tire is 30 cm, we can substitute this value into the formula:
circumference = 3.14 * 30 cm
circumference = 94.2 cm
Now, to find the distance traveled in 5 revolutions, we can simply multiply the circumference by the number of revolutions:
distance = circumference * number of revolutions
distance = 94.2 cm * 5
distance = 471 cm
Therefore, the tire travels a distance of 471 cm in 5 revolutions.
To find the distance traveled by the tire in 5 revolutions, we need to calculate the circumference of the tire and then multiply it by the number of revolutions.
The circumference of a circle can be calculated using the formula:
Circumference = π * diameter
Given that the tire has a diameter of 30 cm, we can substitute this value into the formula. Using π = 3.14, the equation becomes:
Circumference = 3.14 * 30 cm
We need to convert the number of revolutions into complete circles, so we multiply by 2π (where π is approximately 3.14). Therefore, the total distance traveled by the tire can be calculated as follows:
Distance = 5 revolutions * 2π * Circumference
Now, let's calculate it step by step:
1. Calculate the circumference:
Circumference = 3.14 * 30 cm
Circumference = 94.2 cm
2. Calculate the total distance traveled:
Distance = 5 revolutions * 2π * Circumference
Distance = 5 * 2 * 3.14 * 94.2 cm
Distance = 10 * 3.14 * 94.2 cm
Distance = 314 * 94.2 cm
Distance = 29554.8 cm
Therefore, the tire will travel approximately 29554.8 cm (or 295.54 meters) in 5 revolutions.