Buoyancy Lab Find the uncertainty of... the experimental buoyant force using the

Question

Buoyancy Lab

Find the uncertainty of...

the experimental buoyant force using the two tension values;

the experimental buoyant force using the mass of the displaced water using propagation of uncertainty technique.

Given:

My data:

I attempted to find the uncertainty of buoyant force for displaced water, where B = W or B = mg, but this doesn't give in Newtons.

As for finding the uncertainty of two tension values, I got lost when I ended up T(in)= T(out)-Fb.

This buoyant force can also be determined when an object is immersed into a liquid while connected to a string. When the object is above the surface of a liquid, and not submerged, then the Newton's Second Law takes the following form Fi = ma TUT + W = ma TOUT-VV =ON 1 OUTy TOUT = w = mg

Explanation / Answer

In the case of Uncertainity, if you perform addition or subtraction of any two variables, The uncertainity should be added always.

In this case the uncertainity in Tout is 0.05 and uncertainity in Tin is 0.05. Thus Tout - Tin will have an uncertainity of 0.1(0.05+0.05).

Cube (2.6-2.31) = 0.29 with uncertainity of 0.1

Cylinder (0.64-0.41) = 0.23 with unceratainity of 0.1

Sphere (2.27-2.06) = 0.21 with uncertainity of 0.1

Cylinder (0.66-0.42) = 0.24 with uncertainity of 0.1

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