How Can You Determine the Shape Factor for Falling Paper Cake Cases?

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SUMMARY

The discussion focuses on designing an experiment to determine the shape factor for falling paper cake cases, utilizing the drag force equation D=fpAv², where p is the air density (1.2 kg/m³), v is the terminal velocity, A is the cross-sectional area, and f is the shape factor. Participants suggest dropping the cake cases from various heights to measure terminal velocity and analyze the results to derive the shape factor. Key components of the experiment include identifying variables, apparatus, and a structured procedure to ensure accurate data collection.

PREREQUISITES
  • Understanding of drag force and terminal velocity concepts
  • Familiarity with basic physics principles related to motion
  • Knowledge of experimental design and data collection methods
  • Ability to calculate cross-sectional area for different shapes
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  • Research methods for measuring terminal velocity in free fall experiments
  • Explore the relationship between shape factors and drag coefficients
  • Investigate the impact of varying heights on terminal velocity outcomes
  • Learn about data analysis techniques for experimental physics
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Students in physics, educators designing experiments, and anyone interested in fluid dynamics and motion analysis.

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Homework Statement


When a paper cake case falls right way up through the air it quickly reaches terminal velocity. The drag force ,D, acting on the paper cupcake case is given by D=fpAv2(v is squared)
Where p is the density of air which is 1.2 kgm-3
v is the terminal velocity
A is the cross sectional area of the base of the cake case
f is a number having no units called the shape factor

Hi can you help me please. I need to design an experiment to determine the shape factor for empty paper cake cases when they fall
title
hypothesis
Theory
variables
Apparatus
Procedure and the results
IF you cannot provide the answers then questions which would lead me to the answer would be greatly appreciated
 
Physics news on Phys.org
Design an experiment where you drop the object from different heights. Determine the terminal velocity from the times. Once you have the terminal velocity, what does that tell you?
 

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