Expt1 - For Oral Report

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    Experiment 1

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    2005-12-31

    Course NameMore Description About the Course

    Your NameYour Title

    1st Line ofYourOrganization2nd Line ofYour

    Organization

    Certain devices are used to obtain accurate

    measurements of an object. During the course of

    the experiment, three measuring devices wereused to accurately measure the dimensions of the

    given object. Each measuring device can measure

    from a scale of centimeter to millimeter

    accurately up to two decimal places.

    Summary of the Experiment

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    Introduction

    The instruments used are:

    vernier caliper

    micrometer caliper

    foot rule

    Each are used to obtain

    precisely accurate

    measurements.

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    2005-12-31

    Course NameMore Description About the Course

    Your NameYour Title

    1st Line ofYourOrganization2nd Line ofYour

    Organization

    Objectives

    To study errors and how they propagate in a simple experiment

    To determine the average deviation of a set of experimental

    values obtained

    To determine the mean of a set of experimental values as wellas set of average deviation of the mean

    To familiarize the students with the vernier calliper, micrometer

    calliper and foot rule

    To compare the accuracy of the measuring devices used

    To compare the accuracy of the measuring devices used

    To Determine the density of an object given its mass and

    dimensions.

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    Theory

    Average Deviation

    Mean Deviation

    Mean Diameter

    Volume

    Density

    % Error Density

    a.d.= d

    n

    A D =d

    n

    d= re ding me n di meter

    V=4

    3 r

    3

    D=m

    V

    %E o =D

    EVD

    AV

    DAV

    100

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    Methodology

    The experiment was conducted with the giveninstruments mainly the vernier caliper,

    micrometer caliper and the foot rule.

    T

    he metal balls given to each group measuredits diameter.

    The objective was to find out what measuring

    device is more accurate by getting the % error

    of each measurement.

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    Vernier Caliper

    1. Inside jaws

    2. Retaineror locking screw3. Vernier scale (inch)

    4. Rail (inch)

    5. Depth probe

    Front end of the rail

    Main scale (mm)Vernier scale (mm)

    Sliding Jaw

    Outside jaws

    Fixed Jaw

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    Micrometer Caliper & Foot Rule

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    Results & Discussion

    Acitivity 1 Diameter of Sphere (cm)Trial Foot Rule Vernier Caliper Micrometer

    Caliper

    1 1.5 1.580 1.579

    2 1.5 1.775 1.5763 1.5 1.570 1.575

    4 1.5 1.550 1.580

    5 1.5 1.770 1.574

    6 1.5 1.565 1.5857 1.5 1.585 1.584

    8 1.5 1.580 1.579

    9 1.5 1.575 1.578

    10 1.5 1.585 1.580

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    Results & Discussion

    Acitivity 1 Diameter of Sphere (cm)

    Foot Rule Vernier Caliper Micrometer Caliper

    Mean Diameter 1.5 1.574 1.579

    (a. d.) 1.5 1.574 1.579

    (A. D.) 0.474 0.498 0.499

    Volume 1.767 cm 2.042 cm 2.061 cm

    Mass 16.28 g 16.28 g 16.28 g

    Experimental

    Value of density

    9.213 g/cm 7.973 g/cm 7.899 g/cm

    Accepted Value of

    Density

    7.86 g/cm 7.86 g/cm 7.86 g/cm

    % Error for Density 17.21 % 1.24% 0.50%

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    Results & Discussion

    Activity 2

    Group

    Member

    1 2 3 4 5

    Width of

    Thumb (in)

    0.64 0.82 0.60 0.62 0.66

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    Results & Discussion

    The possibilities of having a % error in the

    experiment are the accuracy of the used

    instruments. In the said data the foot rule isthe least accurate while the micrometer

    caliper deems to be the more efficient tool

    in measuring the metal ball.

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    Conclusion

    The group concluded that it is more efficient to

    use measuring devices that can measure

    objects up to 0.01mm.T

    he reason is that theless % error we obtain the more we are near to

    its true value.

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    Applications

    1) Which among the three measuring devicesgive you the least % error? Is the accuracy of a

    measurement affected by the least count of the

    measuring devices?

    The group concluded that it is more efficient to

    use measuring devices that can measure

    objects up to 0.01mm. The reason is that theless % error we obtain the more we are near to

    its true value.

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    Applications

    2) What do you mean by error? What are thetypes of error? What are the errors you

    encountered in this experiment?

    Error because the group was not able to perfectly

    reach the accepted value of density. There was a

    small margin of error. In measurement there are two

    types of error. These are random and systematic

    errors. The group were able to encounter random

    errors. Some of the values increased and decreased

    due to different approximations of each member.

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    Applications

    3) Sketch

    a. a vernier caliper that reads 3.48 cm

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    Applications

    3) Sketch

    b. a micrometer caliper that reads 7.05 mm

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    Applications

    4) A student weigh himself using a bathroomscale calibrated in kilograms. He reported his

    weight in pounds. What is the percentage error

    in his reported weight if he uses this

    conversion: 1 kg = 2.2 pounds? The standard

    kilogram is equal to 2.2046 pounds.

    0.21 %

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    Applications

    5) In an experiment on determination of mass ofa sample, your group consisting of 5 students

    obtained the following results: 14.34 g, 14.32 g,

    14.33 g, 14.30 g and 14.23 g. Find the mean,

    a.d. and A.D. Suppose that your group is

    required to make only four determinations for

    the mass of the sample. If you are the leader of

    the group, which data will you omit?Recalculate the mean, a.d. and A.D. without

    this data. Which results will you prefer?

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    Applications

    Answer #5

    Set 1 (with 5 data)

    mean=14.304g

    a.d.=14.304 gA.D=6.40g

    Set 2 (with 4 data)

    14.23 g was omittedmean=14.3225g

    a.d=14.3225g

    A.D=7.16g

    The group chose the 2nd set

    of data with only 4

    determinations for the massof the sample. The mass

    omitted from the data is

    poor in precision; therefore

    it is not reliable as comparedto other data. Including the

    omitted data will only

    increase the % error.

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    Applications

    6) Give other parts of the body that are beingused for measurement even today. What are

    some properties to be a standard of

    measurement?

    The use of the hand which is about three or

    four inches. This measurement is still used to

    reckon the height of horses. The thumb whichis probably the basis of the measurement now

    called an inch.

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    Prepared by: Group 1 III Bio 2

    Jack Danielle Abuan

    Jenn Marie Vannesa Alcalde

    Pocholo Mari Arabit Chariz Shane Atienza

    Aaron Agustine Aurelio