1.1 To measure the Cross Sectional area of a Solid Cylinder with Vernier Callipers
Observation and Calculations
Least Count (L.C) = 1/10 mm = 0.1 mm Or 0.01cm
Zero error = 0.00 cm
Zero correction ZC = ± 0.00 cm
| No. | Main scale Reading M cm |
No of Vanier Division Coinciding with the MS division n |
Fraction to be added X=nxL.C |
Observed Diameter Y=M+X cm |
Corrected Diameter D=Y±ZC |
| 1 | 0.9 | 5 | 0.05 | 0.95 | 0.95 |
| 2 | 0.9 | 4 | 0.04 | 0.94 | 0.94 |
| 3 | 0.9 | 3 | 0.03 | 0.93 | 0.93 |
Mean diameter D= (0.95+0.94+0.93)/3
D = 0.94 cm
Radius of cylinder r = D/2
r= 0.94/2 = 0.47 cm
Result
Cross Sectional Are of Cylinder
A = πr2
= (3.14)(0.47)2 = 0.694 cm2
1.2 Determine the Volume of a Solid Cylinder by Measuring its Length and diameter with Vernier Calliper
Observations and Calculations
Least Count (L.C) = 1/10 mm = 0.1 mm Or 0.01cm
Zero error = 0.00 cm
Zero correction ZC = ± 0.00 cm
| Quantity | No. | Main scale Reading M cm |
No of Vanier Division Coinciding with the MS division n |
Fraction to be added X=nxL.C |
Observed Value Y=M+X cm |
Corrected Value D=Y±ZC |
|
Length L |
1 | 2.5 | 3 | 0.03 | 2.53 | 2.53 |
| 2 | 2.5 | 2 | 0.02 | 2.52 | 2.52 | |
| 3 | 2.5 | 2 | 0.02 | 2.52 | 2.52 | |
| Diameter
M |
1 | 0.8 | 5 | 0.05 | 0.85 | 0.95 |
| 2 | 0.8 | 4 | 0.04 | 0.84 | 0.94 | |
| 3 | 0.8 | 3 | 0.03 | 0.83 | 0.93 |
Mean length L= (2.53+2.52+2.52)/3
L = 2.52 cm
Mean diameter D= (0.85+0.84+0.83)/3
D = 0.84 cm
Radius of cylinder r = D/2
r= 0.84/2 = 0.42 cm
Result
Volume of Solid Cylinder
V = πr2L
V = (3.14)(0.42)2(2.52) = 1.39 cm3
1.3 To Measure the Thickness of a Metal Strip or Wire by Screw Gauge
Observation and Calculations
Pitch of screw gauge = 1 mm
Number of division of circular scale = 100
Least Count (L.C) = 1/100 mm = 0.01 mm
Zero error = 0.00 mm
Zero correction ZC = ± 0.00 mm
| No. | Main scale Reading M mm |
No of Vanier Division Coinciding with the MS division n |
Fraction to be added X=nxL.C |
Observed Diameter Y=M+X mm |
Corrected Diameter T=Y±ZC |
| 1 | 6 | 41 | 0.41 | 6.41 | 6.41 |
| 2 | 6 | 43 | 0.43 | 6.43 | 6.43 |
| 3 | 6 | 45 | 0.45 | 6.45 | 6.45 |
Result
Mean Thickness of wire T= (6.41+6.43+6.45)/3
T = 6.43 mm