How does the viscous force of the liquid affect momentum in this problem?

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SUMMARY

The discussion focuses on the impact of viscous forces on momentum in fluid dynamics, specifically in relation to a cone submerged in a liquid. The conservation of momentum equation, ΣM = Min - Mout = 0, is central to the analysis. Participants emphasize the need to consider the entire surface area of the cone affected by the liquid's force and the application of calculus to determine changes in momentum. Understanding macroscopic momentum balances is crucial for solving this problem effectively.

PREREQUISITES
  • Fluid dynamics principles, particularly viscous forces
  • Conservation of momentum equations
  • Calculus for analyzing changes in momentum
  • Geometry of cones and surface area calculations
NEXT STEPS
  • Study the effects of viscous forces in fluid dynamics
  • Learn about macroscopic momentum balances in fluid systems
  • Explore calculus applications in momentum analysis
  • Review surface area calculations for geometric shapes, specifically cones
USEFUL FOR

Students in physics or engineering courses, particularly those studying fluid dynamics and momentum analysis, as well as educators seeking to enhance their teaching of these concepts.

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Homework Statement


Please see attached file for problem statement

Homework Equations


ΣM = Min - Mout = 0

The Attempt at a Solution


I have tried using the equation of conservation of momentum on this problem but I'm getting stuck at how the viscous force of the liquid is playing a role in this problem. In addition, would I take in affect that the force of the liquid that is applied on the cone is applied throughout the whole area of the cone, therefore, meaning that I need to find the area of the surface of the cone that the liquid is acting upon?
 

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You need to use calculus to do the change in momentum.
 
Are you learning about macroscopic momentum balances in your course? In your relevant equation, does M stand for mass or for momentum?
 

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