A ball with a mass of 3.7 grams and a diameter of 4.2 cm is hung vertically from the end of a string. A strong wind, travelling at a speed of 8.9 m/s blows past, causing the ball to hang at a nonzero angle with the vertical. Determine the angle that the ball will make with the vertical when it is in static equilibrium. Assume a drag coefficient of 0.45 for a spherical object and that the density of the air is 1.21 kg/m³. 3

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Chapter1: Units, Trigonometry. And Vectors
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A ball with a mass of 3.7 grams and a
diameter of 4.2 cm is hung vertically from the
end of a string. A strong wind, travelling at a
speed of 8.9 m/s blows past, causing the ball
to hang at a nonzero angle with the vertical.
Determine the angle that the ball will make
with the vertical when it is in static
equilibrium. Assume a drag coefficient of 0.45
for a spherical object and that the density of
the air is 1.21 kg/m³.
Transcribed Image Text:A ball with a mass of 3.7 grams and a diameter of 4.2 cm is hung vertically from the end of a string. A strong wind, travelling at a speed of 8.9 m/s blows past, causing the ball to hang at a nonzero angle with the vertical. Determine the angle that the ball will make with the vertical when it is in static equilibrium. Assume a drag coefficient of 0.45 for a spherical object and that the density of the air is 1.21 kg/m³.
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