What's the acceleration?

An accelerometer is made using tubular sections, as shown below. The accelerometer is placed in a rocket that travels in the \(\vec{x}\) direction, and the liquid levels are steady at \(\SI{20}{\centi\meter}\) and \(\SI{10}{\centi\meter}.\)

Find the magnitude of the rocket’s acceleration (in \(\text{m/s}^2\)). Submit your answer to 3 decimal places.

Details and Assumptions:

  • The diameter of the tube is much smaller than the heights of the liquid in the two arms.
  • \(g = 10 \text{ m/s}^{2}.\)

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