Monday, January 30, 2012

Why water sticks to the bottom of a bucket in circular motion?

I have read some stuff about circular motion and acceleration towards the center but everthing basically says what is happenning but i want to know why its happening. Please explain in detail.Why water sticks to the bottom of a bucket in circular motion?Friction between the different layers of water in the bucket is the reason.



The another name for this force is viscous force.



Since the layer of the bottom most water layers is sticking to the vessel, the friction is greater than other layers.



Between the layers of liquid the friction is constant.



Thus there is velocity gradient from bottom to the top of the water layer.



Under certain conditions, the lower most layer is at rest, and the velocity of layer In circular motion above the bottom surface is greater than this and so on for different layers.



Since frictional force is constant for different layers, the velocity difference between layers separated by same distances will be the same.Why water sticks to the bottom of a bucket in circular motion?What you read is called the centripetal force. This is the same force that keeps the moon rotation about the earth, the earth around the sun. The central force is a postulate of Newton.. And the way he derived it is as follows:



Imagine if you have a circular path, and a little mass is travelling in a sqare that fits on the circumference of the mass. If you assume that when the mass hits of the circle, there is perfectly elastic collision, such that the mass bounces off in the same reflective angle as the incident angle, the speed before and after are the same, but just the direction has changed. The "impulse" which is an instantaneous force required to change the direction, for all the 4 corners of the square is mv^2 / r. Now if you change the square into a regular polygon, same thing happens. In the limit of the polygon having infinite sides, which is a circle, the total force required to keep the particle with the same speed on the circular path is still mv^2/r pointing toward the center of the circle.Why water sticks to the bottom of a bucket in circular motion?force is exerted on it

No comments:

Post a Comment