Wright State University Lake Campus/2019-9/Oil drop kinematics


 * Youtube: Oil drop diagrams Note provocative comment about using videos instead of teachers.
 * Pilot pages: Phy1010 . HTW
 * Content moved here from:
 * Wright State University Lake Campus/2019-9/Phy 1050/Notes How Things Work (HTW)
 * Wright State University Lake Campus/2019-9/Phy 1110/Notes College Physics (CP1)

08-28W

 * 1) Mozart D-minor piano 126-132 beats per minute. We got 150 beats/min. Is this a big deal? 150/129=1.16
 * 2) https://www.youtube.com/watch?v=7QgOBbKl0eY

Buzzwords (vocabulary):  inclined plane ... rise and run  ... uniform sphere  ... Galileo's rule of 1, 3, 5, 7   ... uncertainty/error

08-29R
Took data on solid sphere rolling down incline

At beat t=-1 ball was relased. Distances from release point shown shown in centmeters for three trials (a,b,c). We conducted four trials. The rise was 3.1±.1 cm, and the hypotenus was 138±1 cm. I am not sure where the ball was released: 0 cm or 0.5cm?

The accelerations are shown on the right, it seems to be the median suggests that it's 14 + or - 4 cm/s2.

08-30F
Same Mozart. From this we conclude that the syncopation error will probably be small. In other words, why switch to more boring music if it doesn't get us better results?

Data by 1110
https://tools.wmflabs.org/excel2wiki/

Accelerated motion
$$ a = \frac{g \sin\theta}{1+\frac{I}{MR^2}}$$ where the moment of inertia of a solid sphere is $$I=\tfrac 2 5 MR^2$$, and,

$$\sin\theta = h/\ell$$ is the ratio of height to track-length. A good way to evaluate our accuracy is to solve this for g and see how close it is to the accepted result of approximately 980 cm/s2. For the exact value of g at your location, visit https://www.sensorsone.com/local-gravity-calculator/.

In "How-things-word" we did the algebra to get:

$$ g = \frac 7 5 \frac \ell h a$$

Calculating acceleration
It can be shown that for three consecutive locations $$(x_0,x_1,x_2)$$ along straight line:

$$a=\frac{\Delta v}{\Delta t}=\frac{x_2-2x_1+x_0}{\Delta t^2}$$

See also Finite difference coefficient