Question: Problem 3 ( 2 0 points ) : We are designing an underwater Roomba - like robot to clean pools, but we're a little worried

Problem

3 (20

points

)

: We are designing an underwater Roomba

-

like robot to clean pools, but we're a little worried about how hard the robot will hit the bottom of the pool if somebody just tosses it into the water. The robot is spherical, has a diameter of

0.15

meters, and has a density of

1900 k \frac{g}{m^{3}} .

What is the terminal velocity of the robot when it is falling through pool water? Assume the water in a pool has a viscosity of

1 c P

and a density of

1000 k \frac{g}{m^{3}},

and that the drag coefficient at the terminal velocity is

C d = 0.15 .

Problem 3(20 points): We are designing an underwater Roomba-like robot to

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