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If a 150 lbm swimmer is floating in a nearby pool and 5 percent of her body volume is above the surface of the water then what is the swimmers density?
Wiki User
∙ 14y ago
The density of water depends on its temperature, but as you didn't give a temperature and for simplicity sake here we will take the density of water to be 1g/cm3.
We will also consider the density of the swimmer to be uniform, else we will have to get into a serious discussion about anatomy.
Lets convert 150 lbs. into grams --->
150 lbs *453.59237 g/lb = 68038.8555 grams
In order to counter this mass 68038.8555 grams of water is going to have to be displaced. This will be a volume of 68038.8555 cm3.
95% of the swimmers volume = 68038.8555 cm3
so
.95x = 68038.8555 cm3. x= 71619.8479 cm3 where x is the total swimmer's volume.
density is Mass/Volume
so
Swimmer's density is 0.949 g/cm3 or 0.949 g/ml
Wiki User
∙ 14y ago
To find the swimmer's density, we need to calculate her body volume that is submerged in the water. Since 5% of her body volume is above the surface, 95% is submerged. The swimmer's density can then be calculated by dividing her mass (150 lbm) by the submerged volume.
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How is the density of a floating object relate to the density of the fluid it is floating in?
An object will float if its density is less than the density of the fluid it is floating in. The relationship between the densities determines whether an object sinks, floats, or hovers at a specific depth in the fluid.
What influence will the size of the surface and the mass of a floating object have on the floating ability of the object?
The size of the surface will affect the buoyant force acting on the object, with larger surfaces experiencing greater buoyant forces. The mass of the object will influence how easily it can displace water, affecting its ability to float. A larger mass may sink if it cannot displace enough water to counteract its weight.
What do you notice about the density of the floating obgects?
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Which has less density a cork or water?
Cork has less density than water. Cork is less dense than water, so it floats on the surface of water.
What does an object floating tell you?
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How is the density of a floating object relate to the density of the fluid it is floating in?
An object will float if its density is less than the density of the fluid it is floating in. The relationship between the densities determines whether an object sinks, floats, or hovers at a specific depth in the fluid.
What influence will the size of the surface and the mass of a floating object have on the floating ability of the object?
The size of the surface will affect the buoyant force acting on the object, with larger surfaces experiencing greater buoyant forces. The mass of the object will influence how easily it can displace water, affecting its ability to float. A larger mass may sink if it cannot displace enough water to counteract its weight.
What do you notice about the density of the floating obgects?
Their density must be thinner than the density of the matter which they are flowing on. For example water is denser than wood, so wood floats on water. And air is denser than helium, so helium filled balloons float, or fly upwards until they reach the height were air is thin enough so it's density is the same as heliums.
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What does an object floating tell you?
An object floating typically indicates that it has a density lower than the fluid it is in. This buoyant force counteracts the force of gravity, allowing the object to stay suspended on the surface. Objects float due to a balance of these two forces acting upon them.
