Calculating Cork Volumes for Amusement Park Water Slide

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SUMMARY

The discussion focuses on calculating the volume of cork required to keep 20% of a 40 kg child above water using cork floats with a density of 0.28 g/cm³. Applying Archimedes' principle, the buoyant force must equal the weight of the submerged portion of the child. The necessary volume of cork can be determined by calculating the weight of the child that needs to be supported and the corresponding volume of cork needed to achieve this buoyancy.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Basic knowledge of density and volume calculations
  • Familiarity with buoyancy concepts
  • Ability to perform unit conversions (grams to kilograms, cm³ to m³)
NEXT STEPS
  • Calculate the buoyant force required to support a 40 kg child using Archimedes' principle
  • Determine the volume of cork needed based on its density of 0.28 g/cm³
  • Explore the implications of using different materials for flotation devices
  • Research safety standards for flotation devices in amusement parks
USEFUL FOR

Engineers, amusement park designers, and safety regulators involved in the design and implementation of water attractions for children.

tiz_07
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An amusement park is planning to build a water slide, and the park owners would like to use giant corks with density 0.28 g/cm^3 as "floats" for young children. What volume of cork is needed to keep 20% (by volume) of a 40 kg child above the water at the base of the slide (assuming the density of the child is 1.01 g/cm^3).
 
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This is an Archimedes principle problem. What have you done?
 

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