Final answer:
You should check your tires every 500 miles, or every 300 miles in very hot weather, to ensure their integrity and pressure levels are within safe limits. Tire condition can be affected by temperature and wear, so regular checks are crucial.
Step-by-step explanation:
You should check your tires every 500 miles or every 300 miles when driving in very hot weather. This recommendation ensures that you are aware of the tire pressure and condition, as both can be severely affected by temperature changes and extended use. Tires can lose pressure or get worn out faster in high temperatures, so it's essential to monitor them regularly to maintain safety and performance.
Revolutions of Tires
An automobile with 0.260 m radius tires that travels 80,000 km before wearing out will have completed a certain number of revolutions. To find this, you would convert the distance travelled into meters and then divide by the circumference of the tire, which you can calculate using the tire's radius r (Circumference = 2πr).
Checking Claims of Tire Durability
A particular brand of tires claims an average lifespan of at least 50,000 miles before needing replacement. To assess this claim, a statistical test, such as a t-test, can be used to determine if a sample mean (such as one from a survey of 28 tires with a mean lifespan of 46,500 miles) is significantly different from the claimed population mean, taking into consideration the known standard deviations and using a significance level (alpha).
Temperature Effects on Tire Pressure
The gauge pressure in your car tires can change significantly with temperature variations, which is described by the Ideal Gas Law. For instance, if the tire pressure is 2.50 × 105 N/m2 at 35.0°C and drops to a certain pressure at -40.0°C, you would use the gas law to determine the new pressure, keeping in mind that temperature must be converted into Kelvin.