What is the output given by an accelerometer if the instrument is acc...
Accelerometer is used to measure acceleration of the vehicle and thus must be corrected for the Earth’s gravitational effect. If the accelerometer is being accelerated upward with an acceleration of 7g, then (a-G) = 7g – (-1g), and the instrument reads 8g.
View all questions of this test
What is the output given by an accelerometer if the instrument is acc...
Output of an accelerometer when accelerated upward with an acceleration of 7g
Accelerometers are instruments used to measure acceleration. They work based on the principle of inertia, where a mass is suspended inside the instrument and its displacement is measured when the instrument experiences acceleration. The output of an accelerometer is typically given in terms of "g," which is the acceleration due to gravity.
Given:
Acceleration = 7g
To find:
Output of the accelerometer
Solution:
The output of an accelerometer can be calculated using the formula:
Output = (Acceleration - Gravity) / Gravity
where Gravity is the acceleration due to gravity, typically considered as 1g.
Substituting the given values:
Output = (7g - 1g) / 1g
Output = 6g / 1g
Output = 6g
Therefore, the output of the accelerometer when accelerated upward with an acceleration of 7g is 6g.
Reasoning:
When the accelerometer is accelerated upward with an acceleration of 7g, it means that the net acceleration acting on the accelerometer is 7 times the acceleration due to gravity. The accelerometer measures this net acceleration and gives an output proportional to it.
Since the acceleration due to gravity is typically considered as 1g, the output of the accelerometer is calculated by subtracting the acceleration due to gravity from the net acceleration and dividing it by the acceleration due to gravity.
In this case, the net acceleration is 7g and the acceleration due to gravity is 1g. Substituting these values into the formula, we find that the output of the accelerometer is 6g.