Overflow from a Water Tank During Acceleration

When a water tank undergoes acceleration, the water inside experiences an apparent force in the opposite direction of the acceleration. This causes the water surface to tilt, with the water level rising on the side opposite to the direction of acceleration and lowering on the side in the direction of acceleration.

If the acceleration is strong enough, the water may reach the top edge of the tank and overflow.

The amount of overflow depends on factors such as the tank’s shape, initial water level, and the magnitude of acceleration. This phenomenon is commonly analyzed using fluid dynamics and Newton’s laws of motion.

Acceleration :

Tangent :

(az=0 as there is no acceleration in the z-direction)

Increase in length to avoid spillage:

 

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