Determine dimension of R and H

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Reference no: EM132697110

Laboratory Report

From the data in Table-1, considering the object-1 to be a cube, take the final average of the all average values to determine dimension of "a" with its uncertainty. Then calculate V ± ΔV and explicitly show the details of your calculation.

a ± Δa = cm

V ± ΔV = cm3

From the data in Table-2, considering the object-1 to be a cube, take the final average of the all average values to determine dimension of "a" with its uncertainty. Then calculate V ± ΔV and explicitly show the details of your calculation.

a ± Δa = cm

V ± ΔV = cm3

Data Table-3: Measuring the volume of the object-1 by graduated cylinder.

Initial Volume (cm3) Final Volume (cm3) Volume Water Displaced (cm3) Volume of Object (cm3)
100 190 ? ?
(Find ?)

Data Table-4: Measuring mass of the object-1.
by equal arm balance
(in unit of gram) by digital balance
(in unit of gram)
Data Number m ± Δm m ± Δm
1 129.38 ±0.1 129.34 ±0.1
2 129.37±0.1 129.34 ±0.1
3 129.50±0.1 129.34 ±0.1
Average ? ?


(Find ?)

From the data in Table-6, take the final average of the all average values to determine dimension of a, b and c with their uncertainties. Then calculate V ± ΔV and explicitly show the details of your calculation.

a ± Δa = cm b ± Δb = cm
c ± Δc = cm

V ± ΔV = cm3

From the data in Table-7, take the final average of the all average values to determine dimension of a, b and c with their uncertainties. Then calculate V ± ΔV and explicitly show the details of your calculation.

a ± Δa = cm b ± Δb = cm
c ± Δc = cm


V ± ΔV = cm3

Data Table-8: Measuring the volume of the object-2 by graduated cylinder.

Initial Volume (cm3) Final Volume (cm3) Volume Water Displaced (cm3) Volume of Object (cm3)
140 230 ? ?

Data Table-9: Measuring mass of the object-2.
by equal arm balance
(in unit of gram) by digital balance
(in unit of gram)
Data Number m ± Δm m ± Δm
1 122.83±0.01 122.76±0.01
2 122.30±0.01 122.76±0.01
3 122.70±0.01 122.76±0.01
Average ? ?

From the data in Table-11, determine dimension of R, H, r1, h1, r2 and h2 with their uncertainties. Then calculate V±ΔV of the object-3 and explicitly show the details of your calculation.


V ± ΔV = cm3 (volume of the cylinder without the hole)


V ± ΔV =............................ cm3 (volume of the first hole)


V ± ΔV = cm3 (volume of the second hole)


V ± ΔV = cm3 (volume of the object-3)

 


From the data in Table-12, determine dimension of R, H, r1, h1, r2 and h2 with their uncertainties. Then calculate V±ΔV of the object-3 and explicitly show the details of your calculation.


V ± ΔV = ............................ mm3 = cm3 (volume of the cylinder without the hole)


V ± ΔV = ............................ mm3 = cm3 (volume of the first hole)


V ± ΔV =............................ mm3 = cm3 ((volume of the second hole)


V ± ΔV =............................ mm3 = cm3 (volume of the object-3)


Data Table-14: Measuring the volume of the object-3 by graduated cylinder.

Initial Volume (cm3) Final Volume (cm3) Volume Water Displaced (cm3) Volume of Object (cm3)
150 250 ? ?


Data Table-15: Measuring mass of the object-3.
by equal arm balance
(in unit of gram) by digital balance
(in unit of gram)
Data Number m ± Δm m ± Δm
1 131.98±0.01 131.83±0.01
2 132.10±0.01 131.83±0.01
3 132.02±0.01 131.83±0.01
Average ? ?


From the data in Table-16, determine dimension of R and H, with their uncertainties. Then calculate V ± ΔV of the object-4 and explicitly show the details of your calculation.

V ± ΔV = cm3


From the data in Table-17, take the final average of the all average values to determine dimension of R and H
with their uncertainties. Then calculate V ± ΔV of the object-4 and explicitly show the details of your calculation.

V ± ΔV = cm3


Data Table-19: Measuring the volume of the object-4 by graduated cylinder.

Initial Volume (cm3) Final Volume (cm3) Volume Water Displaced (cm3) Volume of Object (cm3)
210 240 ? ?


Data Table-20: Measuring mass of the object-4.
by equal arm balance
(in unit of gram) by digital balance
(in unit of gram)
Data Number m ± Δm m ± Δm
1 48.38±0.01 48.43±0.01
2 48.35±0.01 48.43±0.01
3 48.40±0.01 48.43±0.01
Average ? ?

From the data in Table-21, determine dimension of R, with its uncertainty for each measurements. Then calculate V ± ΔV of the object-5 and explicitly show the details of your calculations.
V ± ΔV =............................ mm3 = cm3 (by ruler)


V ± ΔV =............................ mm3 = cm3 (by caliper)


V ± ΔV =............................ mm3 = cm3 (by micrometer)

Data Table-23: Measuring the volume of the object-5 by graduated cylinder.

Initial Volume (cm3) Final Volume (cm3) Volume Water Displaced (cm3) Volume of Object (cm3)
100 110 ? ?

Data Table-24: Measuring mass of the object-5.
by equal arm balance
(in unit of gram) by digital balance
(in unit of gram)
Data Number m ± Δm m ± Δm
1 55.00±0.01 54.98±0.01
2 55.20±0.01 54.98±0.01
3 44.90±0.01 54.98±0.01
Average ? ?

We know that tall these four objects are made from the same material. Then, taking the average volume and mass data set from each independent measurements, plot the graph of the average volume and mass of the objects. For simplicity, put the volume values at the vertical axis, and the mass values at the horizontal axis. Draw the data points along with the corresponding error bars. By noting that the distribution of the data points on the graph paper suggests a straight line fitting, draw the best and worst straight lines. Find the slope m of the best line and the corresponding error Δm. What are the units of this slope? What physical quantity does the slope represent?.

mb = . . . . . . . . . .

mw = . . . . . . . . . .

Graph-1: The change in the mass of the objects with respect to the volume.

Report m ± Δm with the correct number of significant figures and units;

m ± Δm = . . . . . . . . . .

Attachment:- Experiment.rar

Reference no: EM132697110

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