Question

Коли у воду опустили на досить малу глибину скляну трубку, то в неї зайшла вода масою 23 мг. Знайдіть внутрішній радіус трубки.

Answer 1

Відповідь:

σ=73*10^-3 Н/м    d=10^-3 м   m=?

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Высота подъёма воды

h=2*σ/(ρ*g*r)

r=d/2

h=4*σ/(ρ*g*d)

m=ρ*V

V=S*h=π*d²*h/4

m=π*σ*d/g=3.14*73*10^-3*10^-3/10≈23*10^-6 кг    (23 мг)

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Пояснення:

Answer 2

Calculating the Inner Radius of the Tube

To find the inner radius of the tube, we can use the given information that when the tube is submerged to a shallow depth, it contains water with a mass of 23 mg.

Let's calculate the inner radius of the tube using the provided information.

The mass of the water can be used to calculate the volume of the water, and from there, we can find the radius of the tube.

Calculation Steps

1. Calculate the Volume of Water: - The density of water is approximately 1 g/cm³ or 1 g/mL. - Therefore, the volume of water can be calculated using the formula: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

2. Calculate the Inner Radius of the Tube: - The volume of water will be equal to the volume of the cylindrical portion of the tube. - The volume of a cylinder is given by the formula: \[ \text{Volume} = \pi r^2 h \] - Where: - \( r \) = radius of the tube - \( h \) = height of the water column in the tube

By equating the volume of water to the volume of the cylindrical portion of the tube, we can solve for the inner radius of the tube.

Let's proceed with the calculations.