d1 = 2.53 cm +/- .05 cm

d2 = 1.753 m +/- .001 m

0 = 23.5 degrees +/- .5 degrees

v1 = 1.55 m/s +/- .15 m/s

Using the measured quantities above, calculate the following. Express the uncertainty calculated value.

Z = 4d1 (cos (0))^ 2

1 answer

http://idol.union.edu/vineyarm/teaching/phy17/uncertainties_intro.pdf

start with cosTheta
uncertainity is diff between Cos(23.5)and cos(.5)= .5sin23.5=.199

now it is squared, so double it.
error is appx 0.4

now in the expression, it is multiplied by 4d, so add the error in 4d or4*.05

now adding all the errors... +-.6