For this assignment, all I'm asking you to do is to calculate the percent error and then to explain all the results (refering to the calculations) in a parragraph and also include another parrgraph for an overall conclusion of the Centripetal Force experiment. (RESULTS/CONCLUSION).

LASTLY, PLEASE ANSWER THE 5 SHORT QUESTIONS AT THE VERY END OF THE 3RD PAGE. THANKS.

HERE IS A PICTURE OF THE CALCULATIONS, THEY'VE BEEN DONE ALREADY. ALL YOU NEED TO DO IS FIND THE PERCENT ERROR FOR EACH.

SUBJECT Lab 7 Board Notes DATE BYCW 2 ur = 360 Linear Velocity Fc = my ? fastest Angular Speed 12 w omega symbol rad V = rw sec, Fo = m ( ru ) = Ec = ( mr)w z "slope = m / r F 12 Linear Graph slope / slope = mr . Liner Fit to find F slope NONLiner m = 350 9 5= 10 cm Slope = W/r 358 0 35 0.35 kg r= Ool um Vexp = 3.741 60 cm 0. 35 / 001 = 3.5 = Ver iocm 0.ssky r= o.Icm slope = mr (0.35 ) ( 0.1 ) = 0. 035 Wexp = 0. 0874 8 cm Slope= m/r 0.35 kg 0.08:5 0 - 35 /0 08 = 0 . 4375 = VI 8 cm Slope = mr 0. 35 kg 0. 08Ev ( . 35 ) ( 0 2 08 ) = 0.027= wa VexD = Wexp = 0. 02919 4.501 14 cm 8.35 Kg 1=0:14 m Slope = 0-35/ 0.14 = 2.5 = vth Wexp = 0 . 05419 Slope = (0. 35) (014 ) - 0.049 = Wen 14 CM Vexp = 2 277 .2Lab 7 Centripetal Force Goal: To investigate the concept of centripetal force and its relation to mass, angular and linear speeds, and radius of rotation. We will be using the Vernier Centripetal Force Apparatus shown below. The apparatus, interfaced with the LoggerPro software, allows for precise measurement of centripetal force using a force sensor. Various masses can be placed on specific position on the rotating arm and the rotational velocity of the mass can be measured using a photo gate. r 3' _. F:\\ As we know from the theory, the centripetal force is related to mass, speed, and radius of rotation through U2 F6 = m= ammo2 1' Here, to is the angular speed, which is related to the liner (or tangential speed v) via: 1: = no We would like to investigate the centripetal force equation through various plots generated by the LoggerPro software. The system is has a low friction rotating shaft which can be accelerated by hand to speed up to some reasonable speed (refer to the lab video). Due to friction and air resistance, the system gradually slows down to no useful relationship with time is investigated. This behavior is shown in one of the plots we obtain (F vs. t). However, we can study the relation between the centripetal force and the other 3 quantities in the equation above, namely mass, speed, and radius. The masses are placed in a plastic carriage that can slides freely on the horizontal rotating arm. The carriage has a mass of 50g, a value that needs to he added to the weight placed inside it. The carriage is connected to a force sensor through a string. The position of the carriage on the arm, which is the radius of rotation, can be set and measured precisely. The plots we will generate on the computer are: 1. F. vs. v (not linear) 2. F e vs. v2 (linear, slope = mfr) 3. FC vs. 1' (not linear) 4. Fc vs. (oz (liner, slope = mr) Procedure Need to open a particular le on Vernier: open-)Experiments-)Probes & SensorsCentripetal Force Apparatus)photogate-tangential There are 4 graphs automatically generated (on 2 separate pages) when you open this file. Need to change the axes as necessary to have the following 4 graphs: F vs. t, F vs. v, F vs. v3, and F vs. '3 LI)\". Part 1: Fixed mass m 1. (Note that in the following, m stands for the weights place inside the carriage so you need to add 50g to m to take the carriage's mass into account as well.) Keep an fixed at a certain value. We do this for m = 300g. Now for 3 different values of radius r, rotate the system and collect data on the computer. We use the following values: r = 8cm, 10cm, and Meat. 2. Begin with r = 10 cm. Generate the 4 graphs indicated above and take a screen shot of them. Note which graphs are linear. 3. Find the slopes of both linear plots and compare them with their expected values. (%error) 4. Now repeat for r = 8 cm and r = J4 cm. Include the screen shots of the plots. Again, compare the lopes with their expected values. (There are 6 %error calculations for each part in this lab!) Part 2: Fixed radius r 1. Keep r fixed at a certain value. We do this for r = 10cm. Now for 3 different values of masses to, rotate the system and collect data on the computer. We use the following values: m: 100g, 200cm, and 2503. 2. For each mass, generate the 4 plots and include a screen shot in your report. 3. Find the lope of the linear plots in each case and compare with their expected values. Questions: (answer them in your lab report) 1. How does F change if m is doubled? How does F change if r is doubled? How does F change if v is doubled? How does F change if all three quantities (m,r,v) are doubled? When driving through a curve on a rainy day, why do you need to slow down? Draw a figure and explain using a free body diagram! 95'5\"!"