I'm having a hard time finding this equation: calculate the absolute uncertainty in the linear mass...

I'm having a hard time finding this equation: calculate the absolute uncertainty in the linear mass density ??

Expert Solution

Consider a long, thin rod of mass and length . To calculate the average linear mass density, , of this one dimensional object, we can simply divide the total mass, , by the total length, :

If we describe the rod as having a varying mass (one that varies as a function of position along the length of the rod, ), we can write:

Each infinitesimal unit of mass, , is equal to the product of its linear mass density, , and the infinitesimal unit of length, :

The linear mass density can then be understood as the derivative of the mass function with respect to the one dimension of the rod (the position along its length, ).

The SI unit of linear mass density is the kilogram per meter (kg/m).

genius_generous answered 2 years ago

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