# Paper Cone Investigation

Lisa Han 10MF

Design

Research Question: This investigation will determine how the sector sizes of the piece of the filter paper affect the terminal velocity for the cone to fall. The following will be kept constant meter ruler, stopwatch, and filter paper.

Hypothesis: ‘If the sector size is the increase, then the terminal velocity will decrease.’ The reason is that if the sector size is bigger, the surface area of the cone will become smaller. If the surface area is smaller, than the friction will be less, so there will be less terminal velocity.

Variables Table:

Variables | How it is controlled | Values Used *Filter Paper |By reusing the filter paper| 8cm, 7.5cm, 7cm, 6.5cm, 6 cm *Terminal Velocity | Using the same person and stopwatch to calculate the time. Using the same meter ruler to know where the terminal velocity is reached. | 1m *Meter Ruler, Ruler, Tape, Electronic Stopwatch| Using the same equipments *Paper Cone | Using the same filter paper to make the cone

Specific Measurements:

The paper cone is going to be cut 0.5cm by 0.5cm. They are going to start falling from 1.7m and going to reach ‘terminal velocity’ at 1m.

Equipment List:

* Piece of filter paper

* Piece of tape

* Meter ruler

* Stand

* Boss

* Clamp

* Stamp

Method:

1. Get a piece of filter paper, a piece of tape, a meter ruler, a stand, a boss, a clamp, and a stamp. 2. Cut a sector out of the paper

3. Tape the straight edges of the paper together

4. Measure the diameter of the cone when the sides are stuck together 5. Mount a meter ruler vertically using a stand, boss, and clamp 6. Release the cone from a short distance above the top of the meter rule 7. Get a piece of filter paper, a piece of tape, a meter ruler, a stand, a boss, a clamp, and a stamp. 8. Cut a sector (to get 6cm of diameter) out of the paper 9. Tape the straight edges of the paper together

10. Measure the diameter of the cone when the sides are stuck together 11. Mount a meter ruler vertically using a stand, boss, and clamp 12. Release the cone from a short distance above the top of the meter rule 13. Make and record measurements to determine the time t for the cone to fall through a distance h (1.7m) from the top of the meter ruler 14. Calculate the terminal velocity v of the cone

15. Remove the tape from the paper and cut away a larger sector 16. Repeat the process from the start for a new diameter d of the cone (each sector to get 6.5, 7, 7.5, 8cm of the diameter)

Safety Precautions:

* Do not throw the scissors around

* Do not sit down while doing experiment

Sources of Error:

* Cutting the wrong size of the sector

* Releasing from a ‘not short’ distance away from the 1m ruler * Stopping the timer, then pressing again, and stopping again and recording the time after stopping twice

Data Collecting and Processing

Trial 1

Diameter (cm)| Radius (cm)| Time (s)| Dropping Point (m)| Terminal Velocity Point (m)| Slant Length (m)| Surface Area (cm^2)| Velocity (m/2)| 8| 4| 0.72| 1.7| 1| 5| 62.83| 1.39|

7.5| 3.75| 0.44| 1.7| 1| 5| 58.9| 2.27|

7| 3.5| 0.56| 1.7| 1| 5| 54.98| 1.79|

6.5| 3.25| 0.34| 1.7| 1| 5| 52.05| 2.94|

6| 3| 0.38| 1.7| 1| 5| 47.12| 2.63|

Trial 2

Diameter (cm)| Radius (cm)| Time (s)| Dropping Point (m)| Terminal Velocity Point (m)| Slant Length (m)| Surface Area (cm^2)| Velocity (m/2)| 8| 4| 0.72| 1.7| 1| 5| 62.83| 1.39|

7.5| 3.75| 0.53| 1.7| 1| 5| 58.9| 1.89|

7| 3.5| 0.44| 1.7| 1| 5| 54.98| 2.27|

6.5| 3.25| 0.56| 1.7| 1| 5| 52.05| 1.79|

6| 3| 0.25| 1.7| 1| 5| 47.12| 4.00|

Trial 3

Diameter (cm)|...

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