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ASSignment
Calculation for Cd value
As we know,
𝐢𝑑 =
π΄π‘π‘‘π‘’π‘Žπ‘™ π·π‘–π‘ π‘β„Žπ‘Žπ‘Ÿπ‘”π‘’
π‘‡β„Žπ‘’π‘œπ‘Ÿπ‘’π‘‘π‘–π‘π‘Žπ‘™ π·π‘–π‘ π‘β„Žπ‘Žπ‘Ÿπ‘”π‘’
Experiment 1:
𝐢𝑑 =
π‘„π‘Ž
𝑄𝑑
𝐢𝑑 =
5.17π‘₯10^ βˆ’ 4 5.3π‘₯10^ βˆ’ 4
𝐢𝑑 = 0.98
Experiment 2:
𝐢𝑑 =
π‘„π‘Ž
𝑄𝑑
𝐢𝑑 =
4.5113π‘₯10^ βˆ’ 4 4.7023π‘₯10^ βˆ’ 4
𝐢𝑑 = 0.96


15 Experiment No. Actual Discharge,
Qax10^-4 (ms. Theoretical Discharge, Qt x (ms) Coefficient Of Discharge, Cd.
1 5.17 5.3 0.98 2
4.5113 4.7023 0.96 3
3.67 3.9 0.94 4
3.06 3.23 0.95 5
2.3324 2.58 0.91 6
1.572 1.823 0.86
Table 1.9: Results for Coefficient of Discharge Cd.


Calculation For Experimental Error
In order to calculate the experimental error for the value of Cd obtained experimentally to its theoretical value of 0.98, the following calculations are carried out. Experimental Value of Cd 0.94 Accepted Value of Cd 0.98 0.97-0.98 = -0.01
|- 0.01| = 0.01 0.01 0.98
= 0.0102 0.0102 x 100% = 0.1% Experimental error = 0.1%


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