Edits to “Statement”, “Solution”, “Answer”
en/4.2.25.md
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| ### Statement | |||
| − | $4.2.25.$ [sphere in rotating cylinder with water] | ||
| + | $4.2.25^*.$ A cylindrical vessel of radius $R$ filled with liquid of density $\rho$ rotates with angular velocity $\omega$ about its axis. In the vessel there is a ball of radius $r$ and density $2\rho$. Find the force with which the ball presses on the side wall of the vessel. | ||
| ### Solution | |||
| − |  | ||
| − | |||
| − | |||
| #### Answer | |||
| + | $$ | ||
| + | F=(4/3)\pi r^3(R-r)\rho\omega^2. | ||
| + | $$ | ||
| @@ -1,12 +1,13 @@ | |||
| ### Statement | ### Statement | ||
| $4.2.25.$ [sphere in rotating cylinder with water] | $4.2.25^*.$ A cylindrical vessel of radius $R$ filled with liquid of density $\rho$ rotates with angular velocity $\omega$ about its axis. In the vessel there is a ball of radius $r$ and density $2\rho$. Find the force with which the ball presses on the side wall of the vessel. | ||
| ### Solution | ### Solution | ||
|  | ||
| #### Answer | #### Answer | ||
| $$ | |||
| F=(4/3)\pi r^3(R-r)\rho\omega^2. | |||
| $$ | |||