Question

Проволка длинной 1км и диаметром 4мм имеет массу 98 кг 596 г. Найдите плотность металла, из которого изготовлена проволка.

Answer 1

V = L * S
S = πd/2 = 3,14 * 0,4 = 1,256 : 2 = 0,628 кв.см 
d - диаметр 4 мм = 0,4 см
L = 1 км = 1000 метров = 100000 см
V = 100.000 * 0,628 = 62800 куб.см
p = m/V = 98 кг 596 г / 62800 = 1,57 плотность

Answer 2

Calculating the Density of the Metal Wire

To calculate the density of the metal from which the wire is made, we can use the formula:

Density = Mass / Volume

First, we need to calculate the volume of the wire using the given length and diameter. Then, we can use the mass of the wire to find the density of the metal.

Calculating the Volume of the Wire

The volume of the wire can be calculated using the formula for the volume of a cylinder:

Volume = π * (radius)^2 * length

Given: - Length of the wire = 1 km = 1000 m - Diameter of the wire = 4 mm

First, we need to convert the diameter to radius: - Radius = Diameter / 2 = 4 mm / 2 = 2 mm = 0.002 m

Now, we can calculate the volume: - Volume = π * (0.002 m)^2 * 1000 m - Volume = π * 4e-6 * 1000 - Volume = 0.004π m^3

Calculating the Density

Now that we have the volume of the wire, we can use the given mass to calculate the density: - Mass = 98 kg 596 g = 98.596 kg

Using the formula: - Density = Mass / Volume - Density = 98.596 kg / 0.004π m^3 - Density ≈ 7850 kg/m^3

The density of the metal from which the wire is made is approximately 7850 kg/m^3.