Calculating Speed and Time for a Sliding Disk on an Elevated Air Table

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SUMMARY

This discussion focuses on calculating the speed and time for a disk sliding on an elevated air table at a 5° angle. The disk weighs 0.558g and leaves marks every 0.1 seconds. Key calculations include determining average speed (vavg) using the formula vavg = (v2 - v1) / 2, where v1 is the initial speed and v2 is the final speed calculated from the distance between points. The final speed (vf) is derived from the equation vf^2 = 2d * sin(θ) * g, leading to a vf of 1.15 m/s and an average speed of 0.175 m/s under specific conditions.

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Hi all!

I'd like to know fi anybody can help me out with this, I just need some info so I can do it by myself.. formulas or something.

I have a disk (looks like a hockey puck) sliding on an air table which is elevated with an angle of 5°. [weight of the disk: 0,558g] Every 0,1s, the disk makes a mark on a sheet of paper.

I need to make a table of the position (y) and time (x) and another one with average speed and time spent between each points (which is 0,1s) .. anyone know how to do that?

Thanks for the help ;)
- Alex

ps: Sorry, I'm not too use with physics english terms.. :rolleyes:
 
Last edited:
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What is the length of one mark?
 
Last edited:
Werg22 said:
What is the length of one mark?
the length is smaller between each points, here's what it looks like:

Between Points...
[1-2] 7,0 cm
[2-3] 6,2 cm
[3-4] 5,9 cm
[4-5] 5,0 cm
[5-6] 3,9 cm
[6-7] 3,3 cm
[7-8] 2,3 cm

There we go ;) sorry I didn't mention this in the first post
 
So between point 1 and 2, v1=0 and v2=2d+v1/t. Vavg: v2-v1/2.

So I'll only do 1-2:

v1=0
v2=2(0.07)+0/0.1=1.4 m/s
vavg=1.4-0/2=0.7 m/s
 
Last edited:
Werg22 said:
So between point 1 and 2, v1=0 and v2=2d+v1/t. Vavg: v2-v1/2.

So I'll only do 1-2:

v1=0
v2=2(0.07)+0/0.1=1.4 m/s
vavg=1.4-0/2=0.7 m/s
Allright, I got it. Thanks a lot ;)
 
The problem is not true when checking:

vf^2=2(0.07)sin5*g=0.35 m/s
so vf=1.15 m/s

and vavg=0.35+0/2=0.175 m/s

The time isn't 0.1 s unless the coefficient of friction is 16.37 (which no matter has).
 
Last edited:

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