What Does 'Jerk' Mean in Physics?

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SUMMARY

Jerk is defined as the third derivative of the position vector in physics, representing the rate of change of acceleration. It is crucial in scenarios involving non-constant acceleration, such as rollercoaster design, where understanding jerk enhances the safety and thrill of the ride. The discussion highlights practical examples, including the launch of the space shuttle and the acceleration of a car from a stop. Overall, jerk plays a significant role in analyzing motion dynamics in various engineering applications.

PREREQUISITES
  • Understanding of derivatives in calculus
  • Familiarity with basic physics concepts such as velocity and acceleration
  • Knowledge of motion dynamics in engineering
  • Experience with real-world applications of physics, such as rollercoaster design
NEXT STEPS
  • Research the mathematical formulation of jerk in physics
  • Explore the applications of jerk in mechanical engineering
  • Learn about the effects of jerk on passenger comfort in transportation systems
  • Investigate the role of jerk in the design of amusement park rides
USEFUL FOR

Physics students, mechanical engineers, and professionals involved in the design and analysis of dynamic systems will benefit from this discussion on jerk and its applications in real-world scenarios.

AMF8
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What is Jerk? I have a rough idea of what it is, but I would like to know more.
 
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Maybe try running a quick search. I know that this was addressed recently somewhere in PF, and I believe the response came from Astronuc.
 
It is the rate of change of acceleration.
 
arildno said:
It is the rate of change of acceleration.
Given the nature of our GD interactions, I'm surprised that my name didn't enter into your response.:biggrin:
 
Danger said:
Given the nature of our GD interactions, I'm surprised that my name didn't enter into your response.:biggrin:
I knew you knew it, but you know so much that it takes a while even for you to rummage through all your knowledge. You're only superhuman. :smile:
 
I didn't mean that; I meant because I'm a jerk. (And I didn't know the answer. I just knew that I saw it mentioned somewhere.:redface: )
 
Jerk is the 3rd derivative of the position vector

1st derivatieve is velocity, 2nd is acceleration, 3rd is jerk, etc
 
I know all of that...what is its purpose?
 
There's very many posts on 'jerk' in the arhive, it's a recurring subject (you can sya I posted about jerk in this very forum just yesterday!).

Many important examples of objects in motion with a non-conatnt accelartion clearly exist in physics, for example simple harmonic motion, but simply becasue the accelartion is not necessarily mean that it is useful to know the jerk of the object.

There usual exmaple of an area (in engineering) where knowing the jerk is useful is rollercoaster design. It is generally agreed that non-constant accelartion in the car as it goes around the track is what gives the ride it's sense of danger, so it is useful to measure the jerk.
 
  • #11
AMF8 said:
I know all of that...what is its purpose?
To be mean?
 
  • #12
AMF8 said:
I know all of that...what is its purpose?
If you're... in a bumper car, and you're going at whatever constant acceleration, towards your stationary sleeping friend, and you smash into him, you're going to be changing your rate of acceleration.
 
  • #13
AMF8,
For a little more information, check this out :smile:
 
  • #14
Here's a simple example: when the space shuttle is launched, the mass decreases as fuel is used, causing the acceleration to increase.

edit: another simple example: starting off from a stop in your car, you push on the gas pedal and begin to accelerate.
 
Last edited:

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