Seat Belt constraints in a crashing car

In summary, the conversation discusses the chances of survival in a car collision when wearing a properly constrained over-the-shoulder seat belt and the distance over which the front end of the car must be designed to collapse in a crash. The calculation involves finding the time it takes to go from a speed of 80 km/h to 0 km/h, and then using a specific kinematic equation to determine the distance traveled by a person during that time.
  • #1
atbruick
20
0

Homework Statement


A person who is properly constrained by an over-the-shoulder seat belt has a good chance of surviving a car collision if the deceleration does not exceed about 30 "g's" (1.0 g = 9.80 m/seconds squared).

Assuming uniform deceleration of this value, calculate the distance over which the front end of the car must be designed to collapse if a crash brings the car to rest from 80 km/h.

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
How long does it take to go from a speed of 80 km/h to 0 km/h, if the speed decreases by 30x9.80 m/s every second?
What distance would one travel if moving from stand still at acceleration 30x9.80 m/s in this time?
 
  • #3
For the first I got 22 m/s (instead of 80km/h) then divided that by 30*9.80m/s and got 0.075, which is the time it would take to go from 22 m/s to 0 m/s in the crash.

Then I found in that time frame a person could travel 1.65, or 1.7 meters. I hope these calculations are right; I entered 1.7 into the answer and it was wrong.
 
  • #4
"30*9.80 m/s" (velocity) is not the same as "30*9.80 m/s per second" (acceleration)

There exists a specific kinematic equation that you should be using to get a better answer.
 
  • #5
It appears you assumed that the car was going 22m/s the whole time during that 0.076 seconds, but the car is decelerating during that time.
 

1. What is the purpose of seat belt constraints in a crashing car?

The purpose of seat belt constraints in a crashing car is to keep the occupants securely in their seats during a collision. This helps to prevent them from being thrown out of the vehicle or hitting the interior structures, reducing the risk of serious injury or death.

2. How do seat belt constraints work in a crashing car?

Seat belt constraints work by using a combination of webbing, buckles, and retractors to secure the occupant's body to the seat. During a crash, the seat belt will stretch slightly to absorb some of the energy and then lock in place, preventing the occupant from being thrown forward.

3. What types of crashes are seat belt constraints most effective for?

Seat belt constraints are most effective for frontal and side-impact crashes. They are less effective for rear-end collisions, but can still help prevent the occupant from being thrown forward and hitting the steering wheel or dashboard.

4. Can seat belt constraints cause injuries in a crashing car?

While seat belt constraints are designed to prevent injuries, they can sometimes cause minor bruising or abrasions during a crash. However, these injuries are far less severe than those that would occur if the occupant was not wearing a seat belt.

5. Are there any other safety measures that can be used in addition to seat belt constraints in a crashing car?

Yes, there are other safety measures that can be used in addition to seat belt constraints. These include airbags, which can provide additional protection in a crash, and crumple zones in the car's structure, which help absorb some of the impact energy.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Classical Physics
2
Replies
46
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
3K
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
5K
  • Introductory Physics Homework Help
Replies
8
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
13K
Back
Top