Respuesta :
Answer
given,
largest diameter of balls = 9.52 mm = 0.00476 m
radius = 0.00476
smallest diameter of ball = 2.38 mm = 0.00238 m
radius = 0.00119
viscosity = 1.5 Pa.s
density of the ball = 1.42 g/cm
[tex]F = 6\pi \eta r V_t[/tex]
[tex]F = \dfrac{mv}{t}[/tex]
[tex]F = \dfrac{\dfrac{4}{3}\pi\ r^3\times (\rho-\sigma) \times 0.99 V_T}{t}[/tex]
[tex]6\pi \eta r V_t = \dfrac{\dfrac{4}{3}\pi\ r^3\times rho \times 0.99 V_T}{t}[/tex]
[tex]t = \dfrac{\dfrac{4}{3}\pi\ r^3\times rho \times 0.99 V_T}{6\pi \eta r V_t}[/tex]
[tex]t= \dfrac{0.22 r^2 (\rho-\sigma) }{\eta}[/tex]
for small balls
[tex]t= \dfrac{0.22\times 0.00119^2 (1460-1300)}{1.5}[/tex]
t = 0.033 ms
for larger ball
[tex]t= \dfrac{0.22\times 0.00476^2 (1460-1300)}{1.5}[/tex]
t = 0.531 ms
