Calculating acceleration offset by C.G.

In summary, the conversation discusses how to calculate the acceleration an accelerometer would read when placed at a location other than the center of gravity of an object. The link provided offers a possible solution, but the user is unsure about the transformation matrix used. They are advised to post their question on a general physics forum for better answers.
  • #1
The Don
11
1

Homework Statement


I'm trying to calculate the acceleration an accelerometer would read NOT placed in the Center of Gravity of the object. Let's look at the figure below. The accelerometer was placed in location (Xa,Za) and not in the CG of the object. Given that the accel's output is a_x and a_z at this location (Xa,Za)...what would've the accelerometers have read if placed on the C.G. of object?

upload_2015-12-7_17-31-32.png


Homework Equations

The Attempt at a Solution


Here is an attempt at the solution (http://basicairdata.blogspot.com/2014/05/inertial-measurement-unit-placement.html) however I don't fully understand how they got the transformation matrix.
 
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  • #2
Is this homework? If yes, you probably should not be using the Internet for your attempt. If no, you should put this on the general physics forum.
 
  • #3
The general physics forum usually gets better answers in my opinion.
 

Related to Calculating acceleration offset by C.G.

1. What is the definition of "acceleration offset by C.G."?

"Acceleration offset by C.G." refers to the calculation of the difference between the actual acceleration of an object and the acceleration that would be expected based on its center of gravity.

2. Why is it important to calculate acceleration offset by C.G.?

Calculating acceleration offset by C.G. is important because it allows scientists to understand the effects of an object's center of gravity on its motion. This information can be used to make more accurate predictions and improve the performance of objects, such as vehicles or spacecraft.

3. How is acceleration offset by C.G. calculated?

Acceleration offset by C.G. is calculated by subtracting the expected acceleration based on an object's center of gravity from the actual acceleration measured. This can be done using mathematical equations or through experimental methods.

4. What factors can affect the acceleration offset by C.G. of an object?

The acceleration offset by C.G. of an object can be affected by factors such as the object's shape, mass distribution, and external forces acting on it. Changes in these factors can impact the object's center of gravity and therefore its acceleration.

5. How can calculating acceleration offset by C.G. be applied in real-world situations?

The calculation of acceleration offset by C.G. has various real-world applications, such as in the design and testing of vehicles, aircraft, and spacecraft. It can also be used in sports science to analyze the performance of athletes and improve their techniques. Additionally, understanding acceleration offset by C.G. is crucial in fields like robotics and physics, where precise measurements and control of motion are necessary.

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