ERROR PROPAGATION EXERCISES
Determine the calculated value using the given values in the given equations. Be sure to
include the units in your answer. Using the error propagation method described above,
calculate the percent error in the calculated value. For this exercise, amswers should be
with the proper number of significant figures and your percent error is to be given to
two significant figures.
Hand in this answer sheet. Work the problems neatly on scratch paper and staple
your work to this sheet.
1. A=xy, x=3.0cm±0.1cm, y = 4.0cm ±0.1cm
2. f=x+y, for x and y given in problem # 1
3. f=x-y, for x and y given in problem # 1
4. z=3x+2y, for x and y given in problem # 1
5. g=\frac{2h}{t^2}, for h=2.00m±3%, t= 0.630s ±4%
6. T = 2\pi\sqrt{\frac{M}{k}}, M = 2.5Kg ± 6%, k = \frac{100N}{m} ±2%
7. d = \left(\frac{5.00}{cm^2g}\right)(ML^3), M = 30.0g±2%, L = (20.3±0.2)cm
8. z = x^2 + y^2, x=3.0cm±2%, y = 4.0cm ±2%
9. z = \frac{5a^3-(2cm)b^2}{C},a=2.0cm±1%, b=3.0cm±1%, C=11.0cm±2%
10. h=d\sin\theta, d=1.00m±0.05m, \theta=10^\circ ±1^\circ
Hint: Convert 1° to radians
