Objective:
The purpose of this experiment is to study the nature of Centripetal force by measuring it acting on a mass undergoing angular motion and centripetal acceleration. In this experiment we will evaluate relationship between Centripetal Force, mass, and velocity. Centripetal force is a force that acts on a body moving in a circular path which is directed toward the center around which the body is moving. The apparatus used for this experiment contains a vertical shaft fit into a bearing with a horizontal cross arm attached to the top of the vertical shaft (see Figure A). On one end of the horizontal cross arm there is a counterweight fixed in place and on the other end there is a mass (m), which is slung from a string and is attached
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Used a Vernier Calipers and measured the diameter of the vertical shaft and record this value. Placed the mass on the horizontal shaft. Moved the pin and mass 14 cm from the vertical shaft, and then fixed the pin in place below the mass using the setscrew. The distance was recorded. Secured the mass to the spring the vertical shaft. Practiced spinning the shaft in order for the mass to travel in a circular path directly above the pin. Once comfortable, timed how long it took for the mass to complete 25 full rotations for three separate trials. For each trial calculated the angular speed of the cross took the average of the three trials. Removed the spring from the mass. Measure the centripetal force (Fc) on the mass by attaching it to a Newton’s scale and pulled the mass to the 14 cm mark above the pin. Read and recorded the value. Repeated steps 2-5 above using the radii of 14.3 cm, 14.6 cm, 14.9 cm, and 15.2cm respectively.
Observations
Mass of Block: m=455.6g±.05g
Diameter of Shaft: d=1.13cm±.005cm
Trial r±.05 (m) R=r+½d (m) T25 (Time per 25 Cycles) ±.005 (s) T (s) w=2π/T (rad/s) ac
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Conclusions
Percent error of the slope:
The slope of the line was supposed to be 1/m= 1/.4556=2.19 however the slope that was obtained was .8539.
%error= (theoretical value-measured value)/(accepted value)*100= (2.19-.8539)/2.19*100=61.0% error
The value that was obtained through the lab was much larger than the value of the slope that it was supposed to be.
There is a lot of human error that is not accounted for in this experiment as when the object is rotating the start time and end time must be manually started and stopped. Due to this the reaction time to start and stop may have been to slow or it may have been started or stopped too early. Furthermore for this experiment when the object is spinning the tangential velocity of the object may be changing because of the frictional force caused by the air and the friction of the shaft rotating on its axle. When the speed is reduced a little more force may be added causing overall variation on the velocity of the object thus affecting the time the object takes to do a revolution. Lastly when getting the object to begin the rotation, the alignment of the rotation of the object to the pin may have been
The cup will stay on the plate throughout the entire rotation because it will be moving in a circular motion. We can see that moving in a circular motion will cause it to stay on the plate because of the equation v= ωr. This equation relates the angular velocity (ω) and the linear velocity (v). When the cup is placed at the very center of the plate the radius (r) will equal zero. When zero is put into the equation for r, the right side of the equation will equal zero, leaving us with the equation v=0. Because v is the linear velocity, we can see that the cup will not move in a straight line, rather a circular
[8.3] In what ways do you think your results would have been different if you had sampled at a different height on the rock?
UV-254 nm, 15 V, 60 Hz, 0.16 A). Masses were taken on a Mettler AE 100. Rotary
The SEM of the pulse rate before the test is +/-4.2bpm, while the SEM after the test is +/-10.1bpm. The mean recovery time (which is measured in minutes) is also compared. The slow steppers had an average recovery time of 2.3 +/-0.42, whereas the fast steppers had an average recovery time of 3.75 +/-0.44. The difference in the recovery rate between the two groups is
So using this formula but with the data we collected from our first attempt, this is what it would look like; Tan(60°) x 23m = 39m. As you can tell this answer collected from our first attempt is very well incorrect, but at the time, our group did not know this.
The distances on the inclined plane (s1 = 1.5m) and tabletop (s2 = 4.0m) were chosen to make the error margin smaller. By making these distances longer, the affect of friction was larger; however this effect is relatively small. Shorter distances would have resulted in large error margins; therefore it was beneficial to have longer inclined plane and tabletop distances.
Tires are thrown from tires because the centrifugal force expels snow, rocks, and other foreign objects.
When a mass is attached to the end of a spring the downward force the
One of the best methods for determining mass in chemistry is gravimetric analysis (Lab Handout). It is essentially using the the mass of the product to figure out the original mass that we are looking for. Thus the purpose of our experiment was to compare the final mass in our reaction to the initial mass and determine the change in mass.
I am going to begin by looking into going up in 0.1cm from 0cm being
This summer when you go to weigh that fat juicy watermelon, think about the mechanics of how the scale works. The basket is attached to a spring that stretches in response to the weight of the melon or other objects placed in it. The weight of the melon creates a downward force. This causes the spring to stretch and increase its upward force, which equalizes the difference between the two forces. As the spring is stretched, a dial calibrated to the spring registers a weight. When designing scales one needs to take into account that every spring has a different spring constant (k). Bloomfield (1997) defines k as “a measure of the spring’s stiffness. The larger the spring constant-that is, the stiffer the spring-the larger the restoring forces the spring exerts” (p. 82).
... spring, you are causing a twisting motion all the way down the coil. (Longhurst)
from 10cm to 50cm to make it easier to see the difference in a graph.
...e could add the mass piece without having them fall off. At the time of the experiment, this was not seen as a threat to our results.