requesting for simulations for object falling with air resistance/board:26-100-

shogojiawei

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1 requesting for simulations for object falling with air resistance/board:26-100-

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on: April 10, 2010, 03:16:24 pm »

is there simulations for object falling with air resistance. terminal velocity too.


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shogojiawei

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2 arh... is there simulation for object falling downwards with air resistance???

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Reply #1 on: April 10, 2010, 03:33:55 pm »

i want to check the terminal velocity too Grin


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shogojiawei

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3 ???? is there simulation for objects falling with air resistance???

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Reply #2 on: April 10, 2010, 03:53:41 pm »

just want to noe the terminal velocity and how the object falls


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Fu-Kwun Hwang

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4 Re: requesting for simulations for object falling with air resistance/board:26-100-

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Reply #3 on: April 10, 2010, 09:22:19 pm » posted from:Taipei,T\'ai-pei,Taiwan

The following is a simulation which assume the force acting on the particle with mass m (under gravity g) and drag force b*v²
i.e. F=m*g - b*v²

Initially, velocity is zero. The force is maximum, particle starts to accelerate and velocity increase with time.
When the drag force is equal to weight of the particle, the net force become zero and the particle starts to fall down with constant speed. i.e. m*g=b*v², so $v=\sqrt{mg/b}$ is the terminal velocity.

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Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

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Fu-Kwun Hwang

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5 Re: requesting for simulations for object falling with air resistance/board:26-100-

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Reply #4 on: April 11, 2010, 09:15:50 pm » posted from:Taipei,T\'ai-pei,Taiwan

What will happen if there are many objects with the same density but different size, all fall from the same height.
The terminal velocity $v=\sqrt{mg/b}=\sqrt{\rho Vg/b}$ , so the terminal velocity is proportiobal to $\sqrt{V}$ where $V$ is the volume of the object.

The following simulation try to illustrate the size effect on terminal velocity.
The ratio of the mass for the object is 1:2:3:4:5:6:7:8:9
Because it is a 2D simulation, the radius is proportional to $\sqrt{m}$ .

You can try it with different gravity g , or drag constant (Drag force = bv²)

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)

Please feel free to post your ideas about how to use the simulation for better teaching and learning.
Post questions to be asked to help students to think, to explore.
Upload worksheets as attached files to share with more users.

Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!


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