I need someone to check my answers. Especially numbers 3,4,5,6,7,8. Please show
ID: 1635773 • Letter: I
Question
I need someone to check my answers. Especially numbers 3,4,5,6,7,8. Please show work. thank you
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, 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. A = xy, x = 3cm plusminus 0.1cm, y = 4.0cm plusminus 0.1cm f = x + y, for x and y given in problem #1 f = x - y, for x and y given in problem #1 z = 3x + 2y, for x and y given in problem #1 g = 2h/t^2 for h = 2.00m plusminus 3%, t = 0.630s plusminus 4% T = 2 pi Squareroot M/k, M = 2.5Kg plusminus 6%, k = 100N/m plusminus 2% d = (5.00/cm^2g)(ML^3), M = 30.0g plusminus 2%, L = (20.3 plusminus 0.2)cm z = x^2 + y^2, x = 3.0cm plusminus 2%, y = 4.0cm plusminus 2% z = 5a^3 - (2cm)b^2/C, a = 2.0cm plusminus 1%, b = 3.0cm plusminus 1%, C = 11.0cm plusminus 2% h = d sin theta, d = 1.00m plusminus 0.05m, theta = 10 degree plusminus 1 degreeExplanation / Answer
given
x = 3 +- 0.1 cm
y = 4 +-0.1 cm
3. f = x - y
in this case the maximum error can be sum of the errors of x and y
so, f = 7 +- 0.2 cm
but, 0.2 is 2.85 percent of 7
so, f = 7 +- 2.85 pc
4. z = 3x + 2y
from the previous part we see
z = (3*3 + 4*2) +- (3*0.1 + 2*0.1) = 17 +- 0.5 cm = 17 +- 2.94 pc
5. h = 2 +- 3 pc
t = 0.63 +- 4 pc
so, g = 2h/t^2 = 2*2/0.63^2 = 10.078
and uncertianity in g, dg = dh/h + 2dt/t = 3 + 2*4 = 11 pc
so, g = 10.078 +- 11 pc
6. M = 2.5 +- 6 pc
k = 100 +- 2 pc
T = 2*pi*sqrot(M/k) = 2*pi*sqroot(2.5/100) = 0.9934
and, dT/T = dM/2M + dk/2k = 3 + 1 = 4 pc
so, T = 0.9934 +- 4 pc