How to Calculate Force of Water in Rotating Pail | Physics Problem

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To calculate the force exerted by water on the bottom of a rotating pail, one must consider both the weight of the water and the centripetal force required for circular motion. At the bottom of the circle, the normal force (Fn) acting upward must balance the gravitational force (mg) acting downward, along with providing the necessary centripetal force. The net force equation can be expressed as Fnet = Fn - mg, leading to the conclusion that the total force exerted by the water is Fn = mg + Fc, where Fc is the centripetal force. The centripetal force can be calculated using the formula Fc = (m*v^2)/r. Understanding these principles is crucial for solving problems related to dynamics of uniform circular motion.
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a pail of water is rotated in a vertical circle of r=1.4m acceleration of gravity 9.8m/s^2

the pail is rotated at a constant rate so it has the minimum speed at all points along its circular path. the water has a mass m.
when the pail is at the bottom of the circle, what is the magnitude of the force exerted by the water on the bottom of the pail?

F=ma=0 since it is at a constant rate right?

but then i don't know what to do next?
 
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nrc_8706 said:
a pail of water is rotated in a vertical circle of r=1.4m acceleration of gravity 9.8m/s^2
the pail is rotated at a constant rate so it has the minimum speed at all points along its circular path. the water has a mass m.
when the pail is at the bottom of the circle, what is the magnitude of the force exerted by the water on the bottom of the pail?
F=ma=0 since it is at a constant rate right?
but then i don't know what to do next?

Nay! Draw out your free body diagrams, that should help.

Also, I notice a lot of people making this mistake. Saying F = ma is rarely true. Always remember to add your sigma

\sum F = ma
 
?

normal force is upward and weight is downward

Fnet=Fn-mg?
 
Help!

CAN ANYBODY HELP ME?!:cry:
 
nrc_8706 said:
CAN ANYBODY HELP ME?!:cry:

the water exerts two forces onto the pail... can you name them?
 
:confused: its weight and...:confused:
 
Centripital Force
 
...

ok so its F=4mg or F=2mg?
 
Centripital force is defined by equation:

Fc = (m*v^2)/r
 
  • #10
gracias

:rolleyes: thanks for everything but I am just not understanding
 
  • #11
What is your current curriculum/topic in class?
 
  • #12
Dynamics Of Uniform Circular Motion
 
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