Calculate the average force exerted on the driver by the seat belt

In summary, the conversation discusses a car collision where the driver, weighing 85kg, is brought to a stop by the seat belt in 400ms while traveling at 24m/s. The conversation then goes on to calculate the average force exerted on the driver by the seat belt and compares it to his weight. They also discuss the 'g-force' or the acceleration to gravitational acceleration ratio and its relation to potential energy. The conversation ends with clarification on how to calculate 'g-force'.
  • #1
terainfizik
28
0

Homework Statement


A car is involved in a collision when it is traveling at 24m/s. The driver , of mass 85kg, is brought to rest by the seat belt in a time of 400 ms . Calculate the average force exerted on the driver by the seat belt . Compare this force with his weight , and hence calculate the 'g-force' to which he's subjected by the crash, and comment on the likelihood of his sustaining serious injury.


Homework Equations





The Attempt at a Solution


Well, I' use F=m (v-u)/t to find the average force exerted on the driver, am I correct ? Second question , can I use formula of work done to calculate the 'g-force' ? Logically, is it impossible the 'g-force' means the potential energy stored in the car ? Guide me please .
 
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  • #2
F = ma so you are on the right track with the first part. "g-force" just means the ratio of the acceleration to gravitational acceleration, which is the same as the ratio of force to weight. We commonly say a force is "7 Gs" if a force on an object is 7 times its weight.
 
Last edited:
  • #3
'g-force' , how 'd i calculate ?
 
  • #4
terainfizik said:
'g-force' , how 'd i calculate ?

He just explained : g force is the ratio of acceleration to gravitational acceleration.


marlon
 

Related to Calculate the average force exerted on the driver by the seat belt

1. How do you calculate the average force exerted on the driver by the seat belt?

The average force exerted on the driver by the seat belt can be calculated using the formula F_avg = m x a, where F_avg is the average force, m is the mass of the driver, and a is the acceleration. This formula is derived from Newton's second law of motion, which states that force is equal to mass times acceleration.

2. What factors affect the average force exerted by the seat belt on the driver?

The average force exerted by the seat belt on the driver can be affected by several factors, including the speed of the vehicle, the weight and size of the driver, the type and condition of the seat belt, and the type of collision. Other factors such as the angle of impact and the presence of airbags may also play a role in determining the average force.

3. Why is it important to calculate the average force exerted on the driver by the seat belt?

Calculating the average force exerted on the driver by the seat belt is important for several reasons. Firstly, it helps in understanding the level of protection provided by the seat belt in the event of a collision. It also helps in determining the effectiveness of different types of seat belts and in making improvements to seat belt designs. Additionally, this calculation can be used in accident reconstruction to determine the cause and severity of injuries sustained by the driver.

4. Is the average force exerted on the driver by the seat belt the same in every type of collision?

No, the average force exerted on the driver by the seat belt can vary depending on the type of collision. In a rear-end collision, for example, the force exerted may be higher as the seat belt has to restrain the driver's body from moving forward with the vehicle. In a side-impact collision, the force exerted may be more lateral as the seat belt has to protect the driver from being thrown to the side.

5. How can the average force exerted on the driver by the seat belt be reduced?

The average force exerted on the driver by the seat belt can be reduced by using advanced seat belt technologies such as pre-tensioners and force limiters. These devices work to reduce the force exerted on the driver's body during a collision by tightening the seat belt to limit body movement and by allowing the seat belt to stretch slightly to absorb some of the impact force. Properly adjusting the seat belt and wearing it correctly can also help in reducing the average force exerted on the driver.

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