How Much Rope is Needed for Towing a Plankton Net at a Specific Depth?

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SUMMARY

The discussion focuses on calculating the length of rope needed to tow a plankton net at a depth of 10 meters while the boat moves at 2.3 mph. The net weighs 8.5 lbs, and the solution requires understanding the forces acting on the net, including weight, buoyancy, tension, and drag. Participants emphasize the need for simplifying assumptions, particularly neglecting turbulence and possibly tension, to arrive at an estimate for practical applications in current sampling techniques.

PREREQUISITES
  • Basic trigonometry principles (sine, cosine, tangent)
  • Understanding of forces (weight, buoyancy, tension, drag)
  • Knowledge of dynamics in fluid mechanics
  • Familiarity with practical applications in marine biology sampling techniques
NEXT STEPS
  • Study the principles of buoyancy and how they affect submerged objects
  • Learn about drag forces in fluid dynamics and their impact on towing
  • Explore basic trigonometric applications in real-world scenarios
  • Research current sampling techniques used in marine biology
USEFUL FOR

This discussion is beneficial for marine biologists, physics students, and anyone involved in designing or utilizing towing systems for underwater sampling.

Natedogg
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Homework Statement



I have a boat moving at 2.3 mph towing a plankton net in water weighting 8.5lbs. I want the net to be towed at a depth of 10m from the surface. How much rope do I need to let out from the boat?

Homework Equations


basic trig sin=cos=tan



The Attempt at a Solution


I cannot find the angle of the rope in the water from the surface of the water.
 
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In general the answer will depend on the actual dynamics of the net and water. How many simplifying assumptions are we allowed to make?

The net has some weight so there's a force going down, it might have some buoyancy so there could be a (smaller) force pointing up, there's the tension in the rope pointing towards the boat, and there might be drag forces due to the water (let's not talk about turbulence!) pointing backwards away from the direction of motion. Which, if any, of these are we allowed to neglect?
 
Thanks for the response. Basically in a perfect world you could use all the parameters to calculate this but for the matter of getting an estimate I think we could neglect the turbulence and maybe tension. I'm am by now means a physics major but this problem is going to be used in current sampling techniques.
 

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