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86. (ρ
= 1100 kg/m3) is held in a reservoir where a high pressure pushes
it out. The pressure on the surface of the vaccine in one gun is 4.1 x 106
Pa above the atmospheric pressure outside the narrow opening. The dosage is
small enough that the vaccine’s surface in the reservoir is nearly stationary
during an inoculation. The vertical height between the vaccine’s surface in
the reservoir and the opening can be ignored. Find
the speed at which the vaccine emerges. |
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Bernoulli’s equation is |
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We assume 1 is the gun
reservoir and 2 is the air right above the skin. Make the assumption the speed of the
vaccine inside the gun reservoir is zero, v1 = 0 and the heights h1
and h2 are the same, so they cancel out. |
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Solve for v2 |
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P1 is the amount of
pressure in the gun reservoir which is atmosphere
plus 4.1 x 106 Pa, while P2 is atmospheric pressure. |
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