Acceleration to Velocity by area integration

In summary, The conversation is about integrating acceleration data from a MEMS accelerometer to calculate velocity. The person discussing the topic found an app note by freescale that provides a formula for calculating velocity, but it appears to ignore the sampling time. The correct formula should be Vx= V(x-1)+[N-(N-1) * T], but the app note has it written as Vx = V(x-1)+N+[((N-(N-1))/2]. The person questioning the formula points out that it doesn't make sense and suggests that a parenthesis may have been misplaced. They also mention that even with the correct formula, the result still needs to be multiplied by time.
  • #1
likephysics
636
2
I know this has been asked many times.
I am integrating acceleration data from MEMS accelerometer to get velocity.

I found an app note by freescale - http://cache.freescale.com/files/sensors/doc/app_note/AN3397.pdf

It ignores the sampling time to calculate the area.
The formula should be sample: Vx= V(x-1)+[N-(N-1) * T]. Right?
But the app note it is -
Vx = V(x-1)+N+[((N-(N-1))/2]

V(x-1) is the previous integration result.
 
Engineering news on Phys.org
  • #2
It ignores the sampling time to calculate the area.
... you still have to multiply by time somewhere.

N+[((N-(N-1))/2]
... nonsense: did you misplace a parenthesis?

N+[((N-(N-1))/2]=N+1/2
 

1. What is "Acceleration to Velocity by area integration"?

"Acceleration to Velocity by area integration" is a mathematical method used to find the change in velocity of an object over time, by calculating the area under the acceleration curve. It is commonly used in physics and engineering to analyze the motion of objects.

2. How does area integration relate to acceleration and velocity?

In simple terms, acceleration is the rate of change of velocity, and velocity is the rate of change of position. Area integration allows us to find the change in velocity by finding the area under the acceleration curve, similar to how we use basic integration to find the area under a curve.

3. Why is "Acceleration to Velocity by area integration" useful?

This method is useful because it allows us to analyze the motion of objects in a more precise and accurate way, compared to using simpler equations such as average acceleration. It takes into account changes in acceleration over time, which can greatly affect an object's velocity.

4. What are the limitations of using area integration to find velocity?

One limitation is that it assumes a constant acceleration over small intervals of time, which may not always be the case in real-world scenarios. It also requires a precise and detailed measurement of acceleration, which may be difficult to obtain in some situations.

5. Can "Acceleration to Velocity by area integration" be used for objects with non-uniform acceleration?

Yes, it can still be used for objects with non-uniform acceleration, but it will require more advanced mathematical techniques such as calculus to find the area under the curve. This method can still provide a more accurate result compared to simpler equations, even for non-uniform acceleration scenarios.

Similar threads

B Kinematic equations ##\textbf{purely}## from graphs
    • Mechanics
2
Replies
49
Views
1K
B In uniform acceleration, mean velocity ##\bar v = \frac{v_0+v}{2}##?
    • Classical Physics
Replies
23
Views
1K
Power absorbed and B vs H plot for microwave oven transformer
    • Electrical Engineering
Replies
3
Views
865
B Calculating shaded area: I'm getting discrepancies between methods
    • Calculus
Replies
3
Views
305
I Express drag force/acceleration/velocity as function of time
    • Classical Physics
Replies
14
Views
282
B Explain Integration to me, please
    • Calculus
Replies
5
Views
2K
I Integrating Discrete Data for Navigation: A Comprehensive Guide
    • Calculus
Replies
2
Views
2K
I Is There a Better Model for the Relationship Between Friction and Velocity?
    • Classical Physics
2
Replies
63
Views
3K
Velocity and Acceleration Relationship
    • Introductory Physics Homework Help
Replies
13
Views
2K
Integrating Velocity: Questions on Displacement & Position
    • Mechanics
Replies
6
Views
15K

Hot Threads

Recent Insights

Back
Top