- #1
DeanH87
- 2
- 1
- Homework Statement
- Hi, Can someone help with the below calculation. Sample attached
- Relevant Equations
- See Below
Dean
Last edited by a moderator:
Triangle calculation for the resultant velocity
- Thread starter DeanH87
- Start date
Click For Summary
To calculate the resultant velocity from two components, the hypotenuse of a right triangle is determined using the formula 31.748 m/s, derived from the velocities 30.8 m/s and 7.7 m/s. This hypotenuse represents the combined velocity of the two components. The angle formed with the horizontal is approximately 14 degrees, calculated using the atan2 function. Understanding the resolution of forces in two dimensions is crucial for these calculations. The discussion emphasizes the importance of using trigonometric principles to resolve vector components effectively.
Dean
- #2
FactChecker
Science Advisor
Homework Helper
- 9,316
- 4,611
##31.748 = \sqrt { 30.8^2 + 7.7^2 }##
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
## 14.03 = (180/\pi) * atan2(7.7, 30.8) ##
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
## 14.03 = (180/\pi) * atan2(7.7, 30.8) ##
Last edited:
- #3
DeanH87
- 2
- 1
Great! Thanks
- #4
magoo
- 167
- 45
What do you know about resolving forces in 2 dimensions?DeanH87 said:
First, I tried to show that ##f_n## converges uniformly on ##[0,2\pi]##, which is true since ##f_n \rightarrow 0## for ##n \rightarrow \infty## and ##\sigma_n=\mathrm{sup}\left| \frac{\sin\left(\frac{n^2}{n+\frac 15}x\right)}{n^{x^2-3x+3}} \right| \leq \frac{1}{|n^{x^2-3x+3}|} \leq \frac{1}{n^{\frac 34}}\rightarrow 0##. I can't use neither Leibnitz's test nor Abel's test. For Dirichlet's test I would need to show, that ##\sin\left(\frac{n^2}{n+\frac 15}x \right)## has partialy bounded sums...
It's easy to see that any polynomial is function of that class. Also it seems that composition of exponent and polynomial is good as well. G_f(a, b) should be equal G_f(b, a) as the f(a+b) is symmetrical.
Does anyone have information about this or at least related to it?