Lab
Falling Coffee Filters
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Background Information:
The amount of air resistance an object encounters is directly proportional to its surface area and velocity. Terminal velocity,
v
_{t}
, is achieved when the air resistance equals the object's weight and the object can no longer accelerate. It reaches a state of dynamic equilibrium.
Experimental Procedure/Data:
Each group needs three members: holder, measurer, recorder. Each group needs three stacks of filters (1 filter, 2 filters, 4 filters) and two meter sticks.
The
purpose
of the lab is to discover the release height for each group of filters that will enable two groups, which have reached terminal velocity, to reach the floor at the same time.
Data Table I: 2 filters
Holder:
Experiment with simultaneously releasing the groups containing 1 filter and 2 filters to determine a best estimate for the appropriate release heights that allow the two groups to strike the ground simultaneously. When ready, hold each group steady so that their distance above the ground can be measured. Make sure that the flat side is facing the ground.
Measurer:
Measure the mass of each group of filters. Do NOT multiply the total by the mass of one filter - MEASURE each group and record your information in the data table provided below. Then measure how high each group of filters is above the ground just as they are released. ALL filters should be released AT OR ABOVE 1.5 meter. Record to the nearest 1.0 cm.
Recorder:
Record your heights in Data Chart #1. Repeat two more times. Input the best trial's results in the final column. If all trials seem equivalent, calculate an average value.
Data Table I
trial 1
trial 2
trial 3
best results
number
height (m)
height (m)
height (m)
height (m)
one filter
two filters
Data Table II: 4 filters
Holder:
Experiment with simultaneously releasing the groups containing 2 filters and 4 filters to determine a best estimate for the appropriate release heights that allow the two groups to strike the ground simultaneously. When ready, hold each group steady so that their distance above the ground can be measured. Make sure that the flat side is facing the ground.
Measurer:
Measure the mass of each group of filters. Do NOT multiply the total by the mass of one filter - MEASURE each group and record your information in the data table provided below. Then measure how high each group of filters is above the ground just as they are released. ALL filters should be released AT OR ABOVE 1.5 meter. Record to the nearest 1.0 cm.
Recorder:
Record your heights in Data Chart #1. Repeat two more times. Input the best trial's results in the final column. If all trials seem equivalent, calculate an average value.
Data Table II
trial 1
trial 2
trial 3
best results
number
height (m)
height (m)
height (m)
height (m)
two filters
four filters
Data Table III: Mass Data
Measurer:
Measure the mass of each group of filters. Do NOT multiply the total by the mass of one filter - MEASURE each group and record your information in the data table provided below.
number of
mass
filters
(kg)
one filter
two filters
four filters
Conclusions
Answer the following questions using the information from Data Tables #1, #2 and #3, and the accompanying resource lessons on
air resistance
and
terminal velocity
.
Refer to the following information for the next three questions.
Freebody diagrams of a falling coffee filter:
A
B
C
D
E
... when first released, v = 0
A
B
C
D
E
... after falling a short time, v is small
A
B
C
D
E
... after reaching terminal velocity, v = v
_{t}
A
B
C
D
E
Part I
Part II
% difference
Since one set of data produced a better result that the other, postulate on what conditions may have produced the poorer result.
Describe how the filters "behaved" when they were moving at terminal velocity so that someone who was not present during the experiment could use filters "at home" to see the same phenomena.
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Resource Lesson:
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
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Forces Acting at an Angle
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Freebody Diagrams
RL -
Gravitational Energy Wells
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Inclined Planes
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Inertial vs Gravitational Mass
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Newton's Laws of Motion
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Non-constant Resistance Forces
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Properties of Friction
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Springs and Blocks
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Springs: Hooke's Law
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Static Equilibrium
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Systems of Bodies
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Tension Cases: Four Special Situations
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The Law of Universal Gravitation
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Universal Gravitation and Weight
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RL -
Work and Energy
Worksheet:
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Big Fist
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Family Reunion
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The Antelope
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The Box Seat
APP -
The Jogger
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Gravitational Interactions
CP -
Incline Places: Force Vector Resultants
CP -
Incline Planes - Force Vector Components
CP -
Inertia
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Falling Rock
NT -
Falling Spheres
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Ice Boat
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Calculating Force Components
WS -
Charged Projectiles in Uniform Electric Fields
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Combining Kinematics and Dynamics
WS -
Distinguishing 2nd and 3rd Law Forces
WS -
Force vs Displacement Graphs
WS -
Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
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Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
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Lab Discussion: Inertial and Gravitational Mass
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net F = ma
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Practice: Vertical Circular Motion
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Ropes and Pulleys in Static Equilibrium
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Standard Model: Particles and Forces
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Static Springs: The Basics
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Vocabulary for Newton's Laws
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Work and Energy Practice: Forces at Angles
TB -
Systems of Bodies (including pulleys)
TB -
Work, Power, Kinetic Energy
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