Inflatable Boat Capacity 420L - Load Capacity Calculation

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The discussion centers on calculating the load capacity of an inflatable boat with a 420-liter volume, where 91% of its volume is above water. To determine the maximum load in kilograms before the boat sinks to the water surface, the buoyant force (Fb) must be calculated using the weight of the displaced water (Wwd). The density of water is given as 1020 kg/m³, and the calculations involve converting liters to cubic meters and applying gravitational force. The initial calculation suggests a buoyant force of approximately 4202.604 N, but there is confusion regarding the volume conversion. The thread seeks verification of the calculations and methods used.
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Homework Statement


Inflatable boat with a capacity of 420 liters, floating in empty, so that 91% of the volume is above the water surface. The density of water is 1020 kg/m3

Homework Equations


How big load in kilograms can be loaded, top of the sink to be just the water surface level?

The Attempt at a Solution


i guess we need to find the buoyant force Fb which is the weight of the water displaced Wwd

Wwd=1020*0.42*9.81 ?
and that's gives us 4202.604 N

or maybe:
Wwd=1020*0.0378*9.81 ??
 
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hello
 
Remember 1000litres = 1m^3

And then use unitary mathod...:smile:

Suk-Sci
 
... ... ...
 
anyone can check my work?
 
hello
 
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