Can Spinning Water Measure Gravity?

[yeung2743]

Homework Statement

I've just done a experiment about the curved water surface when spinning.
I want to ask

(1) what theory involve in it?

also, I use some software to mersure the curved water surface and i get the equation of the curve, I get the rotation speed (w) The coeff. of x^2 (k) Can I use these information to find gravity?

Homework Equations

Can I calculate it by the equation k= (w^2)/(2g) if g is the gravity?



Thank You

 

[NateD]

.The AnswerYes, you can calculate the gravity using the equation k= (w^2)/(2g), where g is the gravity and w is the rotation speed. This equation comes from theory called the Centrifugal Force Theory, which states that the centrifugal force is proportional to the square of the angular velocity and inversely proportional to the radius. The relationship between these two forces is expressed by the equation F = mrw^2/R, where m is the mass of the object, r is the distance from the center of rotation, R is the radius of rotation, and w is the angular velocity. By rearranging this equation, you can obtain the equation for gravity, which is g = w^2/2R.