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mrojc
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my bad, i read "rad" as "rev".mrojc said:@DuckAmuck I converted it to rad/s
The depression is defined as original height of the liquid when it is not spinning, minus the central height when it is spinning?mrojc said:@DuckAmuck Might I ask how did you get that, if that's ok?
It's possible I missed a factor of 2.mrojc said:Why is it 4g though? Should it not be 2g?
The surface of a rotating liquid forms a concave shape due to centripetal force, which pulls the liquid towards the center of rotation. This causes the liquid to rise at the edges and create a depression in the center.
The faster the rotation speed, the more pronounced the concave shape of the liquid's surface will be. This is because the centripetal force increases with higher speeds, pulling the liquid towards the center with greater force.
The Coriolis effect is a phenomenon where objects moving in a rotating frame of reference experience an apparent force perpendicular to their direction of motion. In the case of a rotating liquid, this leads to the formation of circular currents, causing the surface to ripple and form patterns.
The shape of the container can impact the surface of a rotating liquid in several ways. A wider and shallower container will result in a flatter surface, while a narrower and deeper container will have a more pronounced concave shape. Additionally, irregularly shaped containers can lead to uneven distribution of centripetal force, causing distortions in the surface.
Yes, the shape of the surface of a rotating liquid can be used to determine the rotation rate of the container. By measuring the depth of the concave shape and knowing the properties of the liquid, the rotation rate can be calculated using the equation for centripetal force.