Magnitude of the acceleration of the fly

In summary, the conversation discusses the motion of a buzzing fly in a helical path, and the equation that describes its path. The magnitude of the acceleration of the fly is shown to be constant, assuming that certain variables are also constant.
  • #1
syamsul andry
1
1

Homework Statement


A buzzing fly moves in a helical path given by the equation
r(t)=ib sin(wt) +jb cos(wt) + kct2
Show that the magnitude of the acceleration of the fly is constant, provided b, cc, and c are
constant.

Homework Equations


v = r/t

The Attempt at a Solution


P_20180311_214811[1].jpg
 

Attachments

  • P_20180311_214811[1].jpg
    P_20180311_214811[1].jpg
    24.4 KB · Views: 642
Physics news on Phys.org
  • #2
I can't see anything there that looks like an answer.
 
  • #3
@syamsul andry -- Welcome to the PF.

It is much better to type your work into the forum window. It makes it easier for us to read, and it let's us use the "Quote" and "Reply" features when we want to highlight part of your work.

You can use the math symbols under the sigma symbol ∑ at the top of the reply window, and you can learn how to type math equations using LaTeX in the tutorial under INFO, Help/How-To at the top of the page. Thanks. :smile:
 
  • #4
There is not a factor "2" between ##\vec(j)## and the cos. You forgot the square in the sinus and the cosinis as well...
 

1. What is the magnitude of acceleration of a fly?

The magnitude of acceleration of a fly can vary depending on various factors such as the size and age of the fly, the force acting on it, and the environment it is in. However, on average, a fly can accelerate at a rate of about 3 g's, or three times the acceleration due to gravity. This means that a fly can accelerate from 0 to about 30 mph in just a few seconds.

2. How do scientists measure the magnitude of acceleration of a fly?

Scientists typically use high-speed cameras and motion analysis software to measure the acceleration of a fly. The fly is filmed in a controlled environment, such as inside a chamber, and its movements are tracked frame by frame. This data is then used to calculate the fly's acceleration.

3. What factors affect the magnitude of acceleration of a fly?

As mentioned before, the size, age, and environment of a fly can affect its acceleration. In addition, the type of motion the fly is performing, such as straight flight or turning, can also impact its acceleration. The presence of external forces, such as wind or air resistance, can also affect the fly's acceleration.

4. How does the magnitude of acceleration of a fly compare to other animals?

The magnitude of acceleration of a fly is relatively high compared to other animals of similar size. For example, a fly can accelerate at a rate of about 3 g's, while a hummingbird, which is similar in size, can only accelerate at around 1 g. This is due to the fly's compact and efficient body structure, as well as its rapid wing movements.

5. Can the magnitude of acceleration of a fly be harmful to its body?

The magnitude of acceleration of a fly is not harmful to its body as it has evolved to withstand high acceleration forces. The fly's body is designed to be lightweight and flexible, allowing it to move quickly and change direction rapidly without sustaining any damage. However, extreme accelerations, such as those experienced in a crash or collision, can still be harmful to a fly's body.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
601
  • Introductory Physics Homework Help
Replies
16
Views
402
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
971
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
29
Views
1K
Back
Top