calculatiing uncertainty for pi(~3.14) equation = pi = ( 4 / (diameter^2) ) * [

Question

calculatiing uncertainty for pi(~3.14)

equation =       pi = ( 4 / (diameter^2) ) * [ height(width) - ( mass / {(density)(length)} ) ]

data

diameter = 2.92 +/- .12 cm

height = 4.73 +/- .05 cm

width = 5.45 +/- .16 cm

mass = 208 +/- .10 g

density  = 2.85 +/- .29 g/cm^3

length = 3.78 +/- .12 cm

pi = ( 4 / (2.92^2) ) * [ 4.73(5.45) - ( 208 / {(2.85)(3.78)} ) ]

it came out to be 3.04.

i cant seem to get how to fine the percentage uncertainy. From what I know, the diameter^2 makes uncertanty calculation little but different.

please help~

hope to hear you everone soon thanks

Explanation / Answer

percentage of uncertainty is = [(actual value - calculated value)/actual value ] * 100

In this case it is = [(3.14-3.04)/3.14] * 100

                        = 31.847 %

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.