Fractional uncertainty of g on the surface of the Sun

In summary, it seems that the person got the calculus part correct, but their numbers were too small and not written neatly enough. They also seem to have crossed over terms. The final answer for part b) is 38.98. The uncertainty in d was much higher than in M, so the uncertainty in g is 1 in 7, doubled because of d^2.
  • #1
Jozefina Gramatikova
64
9

Homework Statement



upload_2018-8-13_20-50-56.png

Homework Equations


upload_2018-8-13_20-50-36.png


The Attempt at a Solution


39154928_2130599527158088_4581274140983427072_n.jpg

it looks like I got too big numbers for the uncertainty
 

Attachments

  • upload_2018-8-13_20-50-31.png
    upload_2018-8-13_20-50-31.png
    4.8 KB · Views: 399
  • upload_2018-8-13_20-50-36.png
    upload_2018-8-13_20-50-36.png
    5 KB · Views: 656
  • upload_2018-8-13_20-50-56.png
    upload_2018-8-13_20-50-56.png
    15.9 KB · Views: 818
  • 39184894_511119012661732_3809923548202401792_n.jpg
    39184894_511119012661732_3809923548202401792_n.jpg
    17.3 KB · Views: 361
  • 39154928_2130599527158088_4581274140983427072_n.jpg
    39154928_2130599527158088_4581274140983427072_n.jpg
    16.9 KB · Views: 566
Physics news on Phys.org
  • #2
Looks like you got the calculus part correct. The numbers you entered after that are too small and not written neatly enough to be able to see them.
 
  • #3
You seem to have crossed over terms, e.g. you have ##\frac{\partial Z}{\partial A}\alpha_B## instead of ##\frac{\partial Z}{\partial A}\alpha_A##.
 
  • #4
haruspex said:
You seem to have crossed over terms, e.g. you have ##\frac{\partial Z}{\partial A}\alpha_B## instead of ##\frac{\partial Z}{\partial A}\alpha_A##.
Oh, thank you so much I got 38.98 now for part b). I hope that this is correct.
 
  • #5
Jozefina Gramatikova said:
Oh, thank you so much I got 38.98 now for part b). I hope that this is correct.
Looks ok. Notice that the fractional uncertainty in d (1 in 14) is far higher than that in M. This means you can ignore the uncertainty in M and write down immediately that the uncertainty in g is 1 in 7 (doubled because of d2).
 
  • #6
haruspex said:
Looks ok. Notice that the fractional uncertainty in d (1 in 14) is far higher than that in M. This means you can ignore the uncertainty in M and write down immediately that the uncertainty in g is 1 in 7 (doubled because of d2).
Thanks
 

1. What is the fractional uncertainty of g on the surface of the Sun?

The fractional uncertainty of g on the surface of the Sun refers to the degree of uncertainty or error in the measurement of the acceleration due to gravity (g) on the surface of the Sun. This value is typically expressed as a percentage of the measured value of g.

2. How is the fractional uncertainty of g on the surface of the Sun calculated?

The fractional uncertainty of g on the surface of the Sun can be calculated by taking the absolute uncertainty of g and dividing it by the measured value of g. This value is then multiplied by 100 to express it as a percentage.

3. What factors contribute to the fractional uncertainty of g on the surface of the Sun?

The fractional uncertainty of g on the surface of the Sun is influenced by various factors, such as the precision and accuracy of the measurement equipment used, environmental conditions, and the variability of g across different locations on the Sun's surface.

4. Why is it important to consider the fractional uncertainty of g on the surface of the Sun?

It is important to take into account the fractional uncertainty of g on the surface of the Sun in scientific research and calculations because it reflects the reliability and accuracy of the data being used. Failing to account for this uncertainty can lead to incorrect conclusions and inaccurate predictions.

5. How can we reduce the fractional uncertainty of g on the surface of the Sun?

The fractional uncertainty of g on the surface of the Sun can be minimized by using precise and calibrated measurement equipment, conducting multiple measurements, and controlling for environmental factors. Additionally, advancements in technology and techniques can also help to reduce uncertainties in scientific measurements.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
253
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
944
  • Introductory Physics Homework Help
Replies
2
Views
925
  • Introductory Physics Homework Help
Replies
2
Views
954
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
1K
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
4K
Back
Top