Calculating the Distance a Car Travels in 60 Tire Rotations
To determine how far a car will travel in 60 rotations of the tire, we need to start with the calculation of the tire's circumference, which is the distance the car covers in one complete rotation.
The Importance of Tire Circumference
The formula to calculate the circumference (C) of a circle is given by:
Circumference Formula
C πd, where d is the diameter of the tire.
Calculating the Circumference of the Tire
Given that the diameter of the tire is 30 inches, we can calculate the circumference as follows:
C π × 30Using the approximation π ≈ 3.14, we get:C ≈ 3.14 × 30 ≈ 94.2 inchesDetermining the Total Distance Traveled in 60 Rotations
To find the total distance the car travels in 60 rotations, we multiply the circumference by 60:
Total Distance Formula
Total Distance Circumference × Number of Rotations
Total Distance 94.2 inches × 60Total Distance ≈ 5652 inchesConverting the Distance to Feet
To convert the distance from inches to feet, we use the conversion factor that 1 foot 12 inches:
Total Distance in feet 5652 inches ÷ 12 ≈ 471 feetAdditional Calculations for Verification
For further verification, let's perform the same calculations using other values:
Tire diameter 30 inchesCircumference 30π inches ≈ 30 × 3.142 94.285 inchesTotal Distance in 60 rotations 94.285 inches × 60 ≈ 5657 inches ≈ 469 feet ≈ 156.33 yardsSummary
In conclusion, the car will travel approximately 5652 inches or 471 feet in 60 rotations of the tire. This calculation is performed using the standard formula for circumference and simple multiplication.