What is the maximum period of revolution for a cone filled with water?

In summary, the maximum period of revolution for a small cone filled with water of radius 4m to prevent the water from falling out is calculated by finding the minimum velocity at the top using the formula v = √gl and then solving for the time period using ω = 2π/T or ω = r x v. If the reaction force is zero, the water will fall out. The formulas can also be checked using dimensions.
  • #1
vipulgoyal
26
0

Homework Statement


A SMALL CONE FILLED WITH WATER OF RADIUS 4M AND THE WATER DOESNT FALL DOWN. WHAT MUST BE THE MAXIMUM PERIOD OF REVOLUTION


Homework Equations





The Attempt at a Solution



I AM CONFUSED!

HOW TO APPROACH THE PROBLEM? SHOULD FIRST CALCULATE THE MINIMUM VELOCITY AT TOP AND THEN FIND OUT THE t USING W=2PIE/T? (the answer is not cuming using this approach
 
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  • #2
hi vipulgoyal! :smile:

(have an omega: ω and a pi: π :wink:)

is this movement in a vertical circle?

the water will fall out if the reaction force is zero …

use F = ma and centripetal acceleration :smile:
 
  • #3


the speed at the top is √gl now have to find time period

the answer doest come by this method ω= 2π /T
ω =r x v
 
  • #4
hi vipulgoyal! :smile:

(just got up :zzz: …)
vipulgoyal said:
the speed at the top is √gl now have to find time period

yup! :biggrin:
the answer doest come by this method ω= 2π /T
ω =r x v

("doest"? :confused:)

nooo :redface:

v = ωr :rolleyes:
 
  • #5


yeah thnx... i always get mixed up in these formulas...
 
  • #6
me too :redface:, so i check by using dimensions :tongue2: …

v is L/T, r is L, ω is 1/T :wink:
 

1. What is the minimum velocity?

The minimum velocity is the lowest speed at which an object needs to travel in order to overcome forces such as friction and gravity and continue moving.

2. How is minimum velocity calculated?

The minimum velocity is calculated using the equation v = √(2μgr), where v is the minimum velocity, μ is the coefficient of friction, g is the acceleration due to gravity, and r is the radius of the object.

3. What factors affect the minimum velocity?

The factors that affect the minimum velocity include the object's mass, the coefficient of friction, the acceleration due to gravity, and the radius of the object. Other factors such as air resistance and surface texture may also play a role.

4. Why is minimum velocity important?

Minimum velocity is important in understanding the minimum speed required for an object to move and continue moving. It is also important in designing and engineering systems and structures to ensure they can withstand the forces exerted on them at different velocities.

5. Can minimum velocity be exceeded?

Yes, minimum velocity is simply the minimum speed required for an object to move. It is possible for an object to exceed this velocity, but it may require additional force or energy to do so.

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