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Mathematics 6 Online
OpenStudy (calculusxy):

MEDAL!!!!!!!!!!!!! Problem stated below.

OpenStudy (calculusxy):

I did an experiment today relating to torques. The materials that I had were a meter stick, masking tape, and weights. We had to use the ruler and place the two weights on each side, to try to make it balance to each other. Also, we had to note how far the tape (holding the weight) was from the center (or 50cm). Here is my first data: Mass 1: 200g Distance from 50cm: 19cm Mass 2: 100g Distance from 50cm: 36 cm Then we had to multiply the mass times the distance for each and were asked to look for a pattern. Here are my products: Mass 1: 200g x 19 cm = 3800 Mass 2: 100g x 36 cm = 3600 I don't notice a pattern and need help in finding one.

OpenStudy (calculusxy):

@Nnesha

OpenStudy (calculusxy):

@ikram002p

OpenStudy (danjs):

looks pretty close

OpenStudy (anonymous):

okay so you say your lab involved torque right

OpenStudy (calculusxy):

Yes

OpenStudy (danjs):

The real world will have small errors, not ideal... you did it correct

OpenStudy (calculusxy):

@DanJS So can my conclusion be like since they are both near of each other, it means that they are almost balanced to each other.

OpenStudy (danjs):

Are you discovering torque moments for the first time here, or do you know already

OpenStudy (danjs):

torque = (force perpendicular to the line of action) *(distance)

OpenStudy (calculusxy):

Well it is the second to last day of class, and my teacher didn't want to explain torques to us fully and just let us do the experiment. So we needed to find out pattern with the products.

OpenStudy (danjs):

The rotational moment about a point (here 50cm mark) = distance from that point, times the perpendicular force

OpenStudy (anonymous):

here this is what i used to study torque last year https://www.youtube.com/watch?v=sAMNoRBBjzg i hope it helps :)

OpenStudy (danjs):

so if you have a force on an angle, you need to break into components first..

OpenStudy (calculusxy):

I just need to know if the statement that I wrote earlier would be fine for my conclusion or not.

OpenStudy (danjs):

hah, if your teacher is cramming it in this late, probably wont be much of it on the final

OpenStudy (calculusxy):

I already took the final. It's just an extra thing.

OpenStudy (danjs):

oh, is that the only single trial point you did? did you try different distances?

OpenStudy (calculusxy):

yes until the weights were balanced (almost)

OpenStudy (danjs):

I would say something like, The distance multiplied by the force seems almost the same... Need to try further experiments with different masses and distances to test if this is true

OpenStudy (danjs):

one test isn't enough

OpenStudy (calculusxy):

I did another trial, but with three different weights ( two on one side and one on the other). Mass 1 : 100g Distance from 50cm: 28cm Mass 2: 200g Distance from 50cm : 20cm Mass 3: 300g( this weight was kept on the other side) Distance from 50cm: 20cm

OpenStudy (calculusxy):

@DanJS

OpenStudy (danjs):

ok, apply the same reasoning as before... If a torque is clockwise it is negative, and if it is counter clockwise about a point, it is positive... The sum of all the torques should add to zero if the thing is balanced and not moving

OpenStudy (danjs):

so 100*28 + 200*20 ideally would be 300*20

OpenStudy (calculusxy):

Okay I get it thanks. I have some other questions, will you be able to help me on them?

OpenStudy (calculusxy):

This is an example of a velocity a. 45 miles per hour b. 34 meters per second c. 23 centimeters per year northeast d. 12 days per mile north e. 0.1 milliseconds per kilometer f. all of the above are examples of velocity

OpenStudy (calculusxy):

It's C right?

OpenStudy (danjs):

back

OpenStudy (danjs):

yes, a velocity is a vector quantity

OpenStudy (danjs):

has a magnitude and a direction for distance/time

OpenStudy (calculusxy):

second one austin is out for a run. he starts at 98th street and 5th ave and runs 1km north to 110th street in 10 minutes. then, he turns left and runs 0.8km in 9 minutes. then, he turns left and runs down central park west. this takes him 11 min to run down the remaining 1.0km down to 98th street. what is the average velocity?

OpenStudy (calculusxy):

@DanJS

OpenStudy (danjs):

sorry, here

OpenStudy (danjs):

First need to draw all those vectors

OpenStudy (danjs):

|dw:1438729327608:dw|

OpenStudy (danjs):

The average velocity will be the resultant of those 3 vectors, the sum of them

OpenStudy (danjs):

|dw:1438729501422:dw|

OpenStudy (danjs):

The average velocity is the total displacement/ total time Displacement is the start point to the end point, independent of the path

OpenStudy (calculusxy):

I got the velocity of 33.33m/s

OpenStudy (calculusxy):

I am wrong, right?

OpenStudy (danjs):

since they made a square, the magnitude or R is the same as the top piece

OpenStudy (calculusxy):

0.8km/9min = V_avg

OpenStudy (danjs):

|dw:1438729828843:dw|

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