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IB Physics Parachute Investigation

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A Design investigation for International Baccalaureate (IB) Physics HL.
11
  NAVRACHANA INTERNATIONAL SCHOOL VADODARA GROUP 4 EXPERIMENTAL SCIENCES PHYSICS HL STUDENT LABORATORY REPORT  Name of the student: Harshil Patel Candidate number : 002605-030 Examination session: May 2012 Date of investigation: 1 st  December 2012 Internal Assessment Criteria: Design Supervisor’s Name: Mary Chacko Title: Decent time of the Parachute
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  • NAVRACHANA INTERNATIONAL SCHOOL VADODARA

    GROUP 4 EXPERIMENTAL SCIENCES

    PHYSICS HL

    STUDENT LABORATORY REPORT

    Name of the student: Harshil Patel

    Candidate number : 002605-030

    Examination session: May 2012

    Date of investigation: 1st December 2012

    Internal Assessment Criteria: Design

    Supervisors Name: Mary Chacko

    Title: Decent time of the Parachute

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Parachute Investigation

    Title: Observations on the decent time of the Parachute

    Topic: Mechanics

    Background: Parachute is a device designed to reduce the decent time of a body in

    atmosphere, by providing drag. Drag is a force which resists the motion of an object through

    a fluid. In a parachute drag is created when the air fills the canopy of the parachute.

    Parachutes are of utmost importance in flooded areas to drop food packages and for other

    recreational purposes. Various shapes and sizes of parachute are designed to serve different

    purposes.

    Research Question: How does changing the shape of the parachute affect its decent time, if

    the height of releasing the parachutes and the surface area of the parachutes is kept constant?

    Hypothesis: It is predicted that for varying shapes of the canopy of the parachute, there

    would be a significant change in the timings of the fall of the two parachutes. This is because

    different shapes have different drag coefficients; therefore, the force of drag is proportional to

    the drag coefficient and the relationship between these two can be given by the formula:

    Where

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Variables:

    Independent Shape of the canopy of the Parachute

    How was it manipulated?

    First, a circular shaped parachute is designed. Then, calculations

    regarding surface areas are made to find the dimensions of a

    rectangular (ram-air) parachute. A rectangular (ram-air) parachute

    is then designed such that the surface areas of both the parachutes

    are same. These parachutes are then used to investigate the

    dependent variable. The investigation involves the parachutes to

    be released from a constant height of several meters and recording

    their decent time

    Dependent Decent time of the parachute

    How was it recorded?

    The stopwatch is checked for zero offset error. Then, the time

    taken for the trial falls is recorded using a stopwatch (which has

    an uncertainty of 0.01s) to reduce the effect of reaction time. The

    stopwatch is started as soon as the parachute is released and

    stopped when it just reaches the floor. The fall should timed by

    two students. One person should be asked to time the fall by

    standing on top of the terrace and other on the ground (where the

    parachute landed.) The two timings are then recorded in the data

    table. It should be made sure that the timings are recorded by the

    same two people to avoid any human error associated with the

    persons reflexes.

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Controlled Variable Surface Area of the canopy

    Mass hung.

    The height of releasing the parachute.

    Length of strings.

    Material of the parachute.

    Area in which the investigation is carried out.

    How were they controlled? The dimensions and surface area of the circular

    parachutes canopy are calculated, and keeping the

    surface area constant, the second parachutes (ram-air)

    canopy is designed.

    Calibrated masses of 0.1 kg are hung to each of the

    parachutes. The whole system, i.e. the parachute and

    the mass should weigh about 0.165kg. If it does not,

    clay could be added to increase the mass.

    The height of releasing the parachutes is measured

    using a graduated measuring tape. Both the parachutes

    are released from the same height, hence keeping it

    constant.

    10 inextensible strings of 25cm each are cut out from

    the thread roll.

    A synthetic cloth is used to make the canopies of the

    parachutes.

    An ideal place with minimum wind and maximum

    height is selected to carry out the trials and the whole

    investigation was performed here.

    How would they affect the

    results if they were not

    controlled?

    If the surface areas of the canopies re not controlled,

    the force of drag created would vary significantly and

    hence results would be ambiguous. The formula

    (where A is the

    frontal/surface area of the parachute) illustrates this

    relationship.

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    If unequal masses are used, the downward force

    would vary and would influence the results.

    If the height of release is changed, the distances the

    parachutes travel will vary which will in turn affect the

    decent time.

    Different materials trap air and create drag uniquely.

    This is due to the difference in spaces between

    individual threads which constitute the material,

    allowing for the air to be cut differently. If different

    materials are used, the results obtained will not be

    reliable and comparable.

    If different lengths of strings are used for a parachute,

    it would result in instability of the parachute, and hence

    the parachute will tremble down its path, giving

    inaccurate readings.

    If the trials are taken in different places, it is very likely

    to affect the path of the parachute. E.g. in windy places,

    the parachute would be blown away by the wind.

    Apparatus Uncertainty

    A synthetic cloth roll of 2m x 2m

    1 Compass

    1 Scissors/cutters

    1 Cello tape

    Inextensible nylon thread roll

    10 Broom sticks

    2 0.1kg calibrated mass g

    1 Punching machine

    2 Digital Stopwatch s

    1 Metre rule cm

    A digital balance g

    Clay

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Procedure:

    1. A place with low wind speed and a considerably high altitude is selected. (This

    investigation was performed on the terrace of the school building.)

    2. Using a measuring tape, measure the height of the releasing the parachute.

    In the laboratory:

    3. On a digital balance, press Tare button and wait till the display reads 0.000g.

    4. Weigh the calibrated masses on the digital balance to ensure they are of g

    (i.e. 0.1kg).

    For the circular parachute:

    5. With the help of a compass, draw a 0.25 m (i.e. 25 cm) circle on a synthetic cloth and

    cut it out with a pair of scissors.

    6. Punch eight equally spaced holes (near the circumference) on the cloth (See Diagram

    1).

    7. Cut eight strings of 0.27 m from the nylon thread roll and tie them to the punched

    holes.

    8. Tie the free ends of the strings to a calibrated mass of 0.1 kg.

    9. Ensure, by measuring with a meter rule, that the lengths of strings from the knots at

    holes to the knots on the calibrated mass is 0.25m.

    10. Reset the stopwatches and check for zero error.

    11. Release the parachute. Simultaneously start the stopwatches. When the parachute hit

    the ground, stop the stopwatches. Record the timings by the two stopwatches in the

    data table. (See Diagram 4)

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    12. Repeat Step 10 and 11 nine times.

    Calculations:

    The circular canopied parachute has a radius:

    m

    Surface area of the circular canopy:

    ( *

    +)

    m2

    NOTE: The surface area of both the parachutes should be constant. Therefore the dimensions

    for rectangle (ram-air) parachute are:

    Surface area of rectangular (ram-air) parachute:

    Diagram 1: Canopy of Circular

    Parachute

    Diagram 1: Canopy of Circular

    Parachute

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    m

    For the Rectangular Parachute:

    1. Cut out a 0.72 m x 0.27 m of rectangular cloth from the synthetic cloth. The edges

    should be made to be rounded edges, so as to make the parachute a ram-air type

    parachute (See Diagram 2 and 3).

    2. Glue the thin broom sticks to the parachutes edges.

    3. Punch the holes on the positions marked red on Diagram 2.

    4. Cut out eight strings of 0.27 m from the nylon thread roll and tie them to the punched

    holes.

    5. Tie the free ends of the strings to a calibrated mass of 0.1kg.

    6. Ensure, by measuring with a meter rule, that the lengths of strings from the knots at

    holes to the knots on the calibrated mass is 0.25 m.

    7. Check both the stopwatches for zero error.

    8. Release the parachutes from a constant height and simultaneously start the

    stopwatches (See Diagram 4). When the parachute hits the ground, stop the

    stopwatches and record the timings in the data table.

    9. Repeat Step 7 and 8 nine times.

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Diagram:

    Diagram 3

    (taken from http://www.armedforces-

    int.com/suppliers/jpads-parachutes.html 12/02/12)

    Diagram 3

    (taken from http://www.armedforces-

    int.com/suppliers/jpads-parachutes.html 12/02/12)

    Diagram 2: Canopy of Rectangular

    Parachute

    Diagram 2: Canopy of Rectangular

    Parachute

    Diagram 4 Diagram 4

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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    Explanations:

    The holes were carefully punched so as to keep the parachute sturdy and not allowing

    it to collapse inside.

    The broom sticks provided a skeleton for the parachute not allowing it to collapse.

    Data Table

    Processed Data Table:

    Circular Parachute

    Trial # Timings/s 0.21 s

    Stopwatch 1 Stopwatch 2

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Rectangular (ram-air) Parachute

    Trial # Timings/s 0.21s

    Stopwatch 1 Stopwatch 2

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Circular Parachute

    Trial # Average time of two

    stopwatches/s 0.21 s

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Rectangular (ram-air) Parachute

    Trial # Average time of two

    stopwatches/s 0.21s

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

  • Candidate Name: Harshil Patel Candidate Number: 002605-030

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