Exploring the Effects of Temperature & Pressure on Tire Pressure

In summary, the gauge pressure of a tire on an automobile is affected by both atmospheric pressure and temperature. At the top of a mountain, with an atmospheric pressure of 1.7 atm and an air temperature of 300K, the gauge pressure of the tire is 30 psi. When driven down to sea level with an atmospheric pressure of 1.0 atm and an air temperature of 350K, the gauge pressure of the tire will be higher due to the increase in temperature. However, there was a typo in the initial conversation where the atmospheric pressure at the top of the mountain was actually 0.7 atm. With this correction, the gauge pressure of the tire at sea level would be lower.
  • #1
amandamarie29
4
0
1. A tire of an automobile has a gauge pressure of 30 psi at the top of a mountain, and the air temperature inside the tire is 300K. The atmospheric pressure at the top of the mountain is 1.7 atm. The car is driven down to sea level, where the atmospheric pressure is 1.0 atm and the air inside the tire is heated to 350 K. At sea level, assuming no leaks, the gauge pressure of the tire will be:

A) lower.
B the same.
C) higher.




2. I put C. higher because the pressure increases when temperature increases. But that was wrong and i don't have a clue why...
 
Physics news on Phys.org
  • #2
Who makes up these problems?

Atmospheric pressure 1.7 atm @ top of a mountain and 1 atm @ Sea Level ? !
 
  • #3
Well, are you sure that atmospheric pressure at the top of the mountain isn't 0,7 atm, rather than 1.7 atm.

That would make a BIG difference.
 
  • #4
oh yes.. its 0.7 atm.. sorry typo =)
 
  • #5


I can explain why the correct answer is B) the same. The relationship between temperature, pressure, and volume is described by the ideal gas law, which states that pressure and temperature are directly proportional when volume is held constant. In this scenario, the volume of the tire remains constant as there are no leaks mentioned. Therefore, the increase in temperature from 300K to 350K at sea level will cause an increase in pressure, but this increase will be offset by the decrease in atmospheric pressure from 1.7 atm to 1.0 atm. This results in the gauge pressure remaining the same at both locations. It is important to note that this assumes ideal gas behavior, and in real-world scenarios, there may be slight variations due to factors such as tire composition and air composition.
 

Related to Exploring the Effects of Temperature & Pressure on Tire Pressure

1. What is the relationship between temperature and tire pressure?

The relationship between temperature and tire pressure is direct. As temperature increases, the molecules inside the tire have more energy and move faster, causing them to exert more pressure on the walls of the tire. This leads to an increase in tire pressure. On the other hand, as temperature decreases, the molecules have less energy and move slower, resulting in a decrease in tire pressure.

2. How does pressure affect tire performance?

Proper tire pressure is crucial for optimal tire performance. If the tire pressure is too low, there will be increased rolling resistance, which can lead to poor fuel economy and premature tire wear. On the other hand, if the tire pressure is too high, there will be less contact with the road, resulting in reduced traction and handling. It is important to regularly check and maintain proper tire pressure for safe and efficient driving.

3. Can temperature and pressure affect tire longevity?

Yes, temperature and pressure can have a significant impact on tire longevity. Extreme temperatures, whether hot or cold, can cause the rubber in the tire to degrade and crack, leading to a shorter lifespan. Additionally, over or under-inflated tires can also cause uneven wear, reducing the overall lifespan of the tire. It is important to keep tires properly inflated and avoid exposing them to extreme temperatures to extend their longevity.

4. How can I measure the effects of temperature and pressure on tire pressure?

To measure the effects of temperature and pressure on tire pressure, you can use a tire pressure gauge. This tool measures the air pressure inside the tire and gives an accurate reading. To measure the effects of temperature, you can check the tire pressure when the tires are cold and again when they are hot. The difference between the two readings will show the change in tire pressure due to temperature.

5. What are the implications of driving with incorrect tire pressure?

Driving with incorrect tire pressure can have several implications. For instance, over-inflated tires can lead to reduced traction and handling, making it difficult to control the vehicle. It can also cause uneven wear on the tires, leading to the need for frequent replacements. Under-inflated tires, on the other hand, can increase the risk of blowouts and decrease fuel efficiency. It is important to regularly check and maintain proper tire pressure to ensure safe and efficient driving.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
800
  • Introductory Physics Homework Help
Replies
5
Views
458
  • Introductory Physics Homework Help
Replies
10
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
367
  • Introductory Physics Homework Help
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
11
Views
1K
Replies
68
Views
3K
  • Introductory Physics Homework Help
Replies
9
Views
3K
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top