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 x\vec{x} direction, and the liquid levels are steady at 20 cm\SI{20}{\centi\meter} and 10 cm.\SI{10}{\centi\meter}.

Find the magnitude of the rocket’s acceleration (in m/s2\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 m/s2.g = 10 \text{ m/s}^{2}.

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