Question #183972

A length of copper wire was measured with a tape measure to give a length of 50.0m with an uncertainty of 1 cm. The thickness of the wire was measured to be 1.00mm,using a micrometer screw gauge. Calculate the volume of the copper used?


1
Expert's answer
2021-04-23T07:27:53-0400

l=50 m±1 cm, d=1 mm±0.5μm,l=50~m±1~cm,~d=1~mm±0.5\mu m,

V±ΔV=π4(d2l±(2dlΔd+d2Δl))=π4(10650±(2103500.5106+1060.01))=π4106(50±0.06) m3=π4(50±0.06) cm3.V±\Delta V=\frac{\pi}{4}(d^2l±(2dl\Delta d+d^2 \Delta l))=\frac{\pi}{4}(10^{-6}\cdot 50±(2\cdot 10^{-3}\cdot 50\cdot 0.5\cdot 10^{-6}+10^{-6}\cdot 0.01))=\frac{\pi}{4}\cdot 10^{-6}\cdot (50±0.06)~m^3=\frac{\pi}{4}\cdot (50±0.06)~cm^3.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS