VIPSolutionsBy Tanners lac: 3 ’0 ° ¢t Re) - a (25) 0 cvoluve of (guid creplel - s7 ml SSR? RCs ¥ = olens?ty of lagu = 9¢e Kgm™ Wika Gad Cs = 0:68 Pas t= 97 Aec Rodius often 27 dec = k (21) 1 - R27) g ky (Ly . Z 3 Vie) = (57 re) fo / 96% X27 0.l68 = 0:092286m R(x) = 92.906 mm
Question:
By Tanners lac: 3
’0
° ¢t
Re) - a (25)
0 cvoluve of (guid creplel - s7 ml
SSR? RCs
¥ = olens?ty of lagu = 9¢e Kgm™
Wika Gad Cs = 0:68 Pas
t= 97 Aec
Rodius often 27 dec = k (21)
1
- R27) g ky (Ly
. Z
3 Vie)
= (57 re) fo / 96% X27
0.l68
= 0:092286m
R(x) = 92.906 mm
This is AI generated Response.
Asked by: Md Israrul Haque
Created at: 2025-10-20 18:44:46
Asked by: Md Israrul Haque
Created at: 2025-10-20 18:44:46
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# Calculation of Radius after 27 Seconds
## Given Data:
- Liquid dro volume, \(\Omega = 5.7 \text{ mL} = 5.7 \times 10^{-6} \text{ m}^3\)
- Density of liquid, \(\rho = 968 \text{ kg/m}^3\)
- Dynamic viscosity, \(\eta = .108 \text{ Pa·s}\)
- Time, \(t = 27 \text{ sec}\)
## Formula:
\[
R(t) = \Omega^{3/10} \left( \frac{\partial t}{\partial z} \right)^{1/10}
\]
Where:
\[
\left( \frac{\partial t}{\partial z} \right) = \frac{\rho \times R}{\eta}
\]
## Calculation:
\[
R(27) = \Omega^{3/10} \times \left( \frac{\rho \times 27}{\eta} \right)^{1/10}
\]
\[
R(27) = \left( 5.7 \times 10^{-6} \right)^{3/10} \times \left( \frac{968 \times 27}{.108} \right)^{1/10}
\]
\[
R(27) \approx .0923 \text{ meters} = 92.3 \text{ mm}
\]
**Note:** The final computed radius is approximately **92.286 mm** as per the calculation.
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## Summary:
- **Radius after 27 sec:** approximately **92.286 mm**
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