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Old June 24th, 2009, 06:31 PM
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Default Car crash, Seatbetls, impulse

Also ive been trying to get my head around an equation for seatbelts. Hyperphysics has an auto calculator and ive been trying to do it algebraically and still cannot get the same answer.

Here is what i have done...

In relation to a car travelling at 50mph with a driver which weighs 75kg and stops with in 1 foot.
Car Crash Example

m = 75 kg, initially travelling at 50kmph = 13.88888889m/s d= 30 cm
Distance time interval =
dt = 0.3 m / 13.88888889 m/s = 0.022 s

During this 220th’s of a second it is decelerated from 13.88888889 m/s to zero, so
a = dv/dt = 13.88888889 m/s / 0.022 s = 631 m/s^2

So the impact force is
F = m x a = 75 kg x 631 m/s^2 = 47348N ....


But it is completely different answer
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  #2  
Old June 24th, 2009, 07:03 PM
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Quote:
Originally Posted by Dingo View Post
Also ive been trying to get my head around an equation for seatbelts. Hyperphysics has an auto calculator and ive been trying to do it algebraically and still cannot get the same answer.

Here is what i have done...

In relation to a car travelling at 50mph with a driver which weighs 75kg and stops with in 1 foot.
Car Crash Example

m = 75 kg, initially travelling at 50kmph = 13.88888889m/s d= 30 cm
Distance time interval =
dt = 0.3 m / 13.88888889 m/s = 0.022 s

During this 220th’s of a second it is decelerated from 13.88888889 m/s to zero, so
a = dv/dt = 13.88888889 m/s / 0.022 s = 631 m/s^2

So the impact force is
F = m x a = 75 kg x 631 m/s^2 = 47348N ....


But it is completely different answer
your acceleration calculation is incorrect ... should be about 316 m/s^2
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Old June 24th, 2009, 07:20 PM
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Quote:
Originally Posted by skeeter View Post
your acceleration calculation is incorrect ... should be about 316 m/s^2
How?
or how else should i calculate it?
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Old June 24th, 2009, 07:24 PM
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v_f^2 = v_0^2 + 2ad
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Old June 24th, 2009, 07:30 PM
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Quote:
Originally Posted by skeeter View Post
v_f^2 = v_0^2 + 2ad
Where Vf and V0 represent?
and what forumla is this?
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Old June 24th, 2009, 07:39 PM
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Originally Posted by Dingo View Post
Where Vf and V0 represent?
and what forumla is this?
v_f is final velocity ... 0

v_0 is initial velocity ... 50 kph

this is the well-known "no time" kinematics equation.
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Old June 24th, 2009, 08:08 PM
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I get to.... Ive been working on this all night and now swear im brain dead...

0 = 192.9 + 2*A*0.3

do i...
0 =192.9 + 2*A*0.3 -2*A*0.3
- 2*A*0.3 = 192.9
-2*A*0.3/0.3 = 192.9/0.3
-2*A = 643

-2*A/-2*A = 643/-2*A
0 = 643 / -2*A/A
0/A = 643 /-2
A = 643/-2

A = 643 / -2
A = 321.5 ms^2 (- Negative due to deceleration...
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Old June 24th, 2009, 08:19 PM
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50 kph = 125/9 m/s

1 ft = .3048 m

0 = (125/9)^2 + 2a(.3048)

a = -(125/9)^2 / [2(.3048)] = -316.439 m/s^2
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