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snubbly
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Air in a sphere has density "x" kg/m3
If radius is halved and air is compressed... does density double? ("2x" km/m3)
If radius is halved and air is compressed... does density double? ("2x" km/m3)
What's the magical 7.9? Or did you just do 11 kg/m3 / 1.4kg/m3snubbly said:Multiplying 1.4 by 7.9 gives me the answer, but I don't understand.
mg0stisha said:What's the magical 7.9? Or did you just do 11 kg/m3 / 1.4kg/m3
Air enclosed in a sphere has density p = 1.4 kg/m3. What will the density be if the radius of the sphere is halved, compressing the air within?
ideasrule said:A intuitive way to think about this: Think about a cube. If you cut the side lengths in half, what happens to volume? Halve one dimension and volume halves. Halve the second and volume decreases by a factor of 4. Halve the third and volume goes down how many times?
The same thing happens to a sphere.
The formula for calculating the mass density of a sphere is: ρ = m/V, where ρ represents mass density, m represents mass, and V represents volume.
The mass of a sphere can be determined by using a scale or balance, while the volume can be measured by using a displacement method or by using the formula V = (4/3)πr³, where r represents the radius of the sphere.
The unit of measurement for mass density is typically grams per cubic centimeter (g/cm³) in the metric system or pounds per cubic inch (lb/in³) in the imperial system.
The mass density of a sphere is directly related to its buoyancy. If the mass density of a sphere is greater than the density of the fluid it is submerged in, it will sink. If the mass density is less than the density of the fluid, it will float.
The mass density of a sphere does not directly affect its strength, but it is often used as an indicator of the material's strength-to-weight ratio. A higher mass density typically indicates a stronger material, as it is able to withstand more stress and strain before breaking.