Calculating standard deviation for average force

Click For Summary
The discussion focuses on calculating the standard deviation for average force using error propagation equations. The initial approach involved using the multiplication error propagation formula, but the result was incorrect. A reference formula for error propagation in division was suggested, indicating that the deviation for average force can be determined by the deviations of impulse and time. A calculator link was provided to assist with calculations involving force, impulse, and time. The conversation emphasizes the importance of correctly applying error propagation methods to obtain accurate results.
jb007
Messages
18
Reaction score
0

Homework Statement


6.png

I am stuck on the last problem.

Homework Equations


Just the error propagation equations

The Attempt at a Solution


I initially used the multiplication error propagation formula. So the average force would be the impulse divided by the time, the same thing as the impulse times 1/time. Favg = I⋅1/t. So the deviation for force would be the absolute value of I times 1/(deviation of time)? But this is wrong, as I get 131, a number that wouldn't make sense. How do I find the deviation for Favg? I feel like I might have to use some of my other data...
 
Physics news on Phys.org
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
Replies
15
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K