# Gyro vs Accelero : Why is that assessment false?

Can we say that the Accelerometer's values are somewhat the integral of the Gyroscope's values ?

I think that because I know that the velocity is the derivative of the position with respect to time and the acceleration is the derivative of the velocity with respect to time.

Let's say I turn in circles. If my assessment is true, then my accelerometer should tell me my velocity is getting bigger and bigger. And it will, even if my velocity doesn't change.

So, I know my assessment is false, but I don't understand why ...

Would you happen to know ?

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Velocity is the derivative of position. Acceleration is the derivative of velocity. If you turn in a perfect constant velocity circle the magnitude of velocity (speed) is constant however the direction is changing. Because the direction is changing there will be a constant magnitude acceleration pointing towards the center of the circle. –  OSE May 15 '13 at 13:47