Online Experiment 1: Error and data Analysis
Lab Group: 13
Phys 2125- 11149
The instruction pages:
To study the concept of significant figures, and to calculate errors in measurements.
THEORY AND EQUATIONS:
ANSWERS TO QUESTIONS:
Q1) In an experiment to measure the value of π , the following results are obtained:
3.12 3.10 3.19 3.09 3.10
Q2) One of the equations of one-dimensional motion is: X = Xo + V T, where X is the position of the object in meters at time T (in seconds), Xo is the initial position of the object in meters (i.e. at time = 0.0), and V is the average velocity during this time in meters per second. Since this is a linear equation, the plot between X (on the y-axis) and T (in the x-axis) should be a straight line, with the slope being the value of the velocity V.
In an experiment, the following data has been obtained for position of an object at different times.
Time (seconds) T 0 1 2 3 4 5
Position (meters) X 0 2.7 3.6 6.4 7.3 9.4
E-01 Error and data Analysis
h=5.0 cm d=1.26cm
Volume of Cylinder: pi*r^2*h r=d/2
so V= pi*(d/2)^2*h ----> V= (pi*d^2*h)/4 ----> V= (3.14159*1.26^2*5)/4 ----> V=6.2 cm^3
C=pi*d ----> pi=C/d ---> pi =20.11/6.37 ----> pi= 3.16
Theoretical Value: Vth= 3.142
Calculated Value: Vc=3.16
Fractional Error= (Vc-Vth)/Vth----> (3.16-3.142)/3.142 ----> Fractional Error= 0.0057
X1 = 9.67 m/s2
X2= 9.88 m/s2
Percent Difference: [(X2-X1 )/((X2+X1 )/2)]*100----> [(9.88-9.67)/((9.88+9.67)/2)] Percent Difference= 2.15%
3.14 3.11 3.20 3.06 3.08
Standard Value is 7.86. So we can see data in set B are more close K standard value than set A. Hence Set B is more accurate
Area of Rectangle----> A= ab----> 8.3cm * 6.4 cm----> 53.12cm2
Change in area= A[(△a/a)+ (△b/b)]
----> 53.12cm2*[(0.2/8.3)+(0.2/6.4)]----> 2.94 cm2
Perimeter: z= 2(a+b)----> 2(8.3+6.4)----> 29.4cm
△p= ± (△L+△b)----> 0.2 cm ± 0.2cm---> ±0.4cm
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