Lab 05 - Centripetal Force (1)

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Dallas County Community College *

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1415

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Physics

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Dec 6, 2023

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Lab 5: Centripetal Force Name: Brandon Cook _______________________________ _ In this lab we are going to explore the centripetal force by experimentally determining the speed needed to keep an object in circular motion. Centripetal Force. 1. Please click on the following link to access the browser-based simulation we need to do this lab activity: http://www.thephysicsaviary.com/Physics/Programs/Labs/ClassicCircularForceLab/ 2. Click on “Begin”. Write the number of washers attached to the string above Table 1 in the space provided for it. The number of washers will stay constant throughout the whole experiment. Multiply the number of washers by 0.010 kg, which is the mass of a single washer, to obtain the total mass of the washers m w , and write this mass above Table 1 in the space provided for it. In this experiment the weight of the washers will be the centripetal force F c keeping the moving mass m (the black dot attached to the string) in circular motion. Now calculate the weight of the washers by multiplying m w by 9.81 m/s 2 and write this weight as your centripetal force above Table 1 in the space provided for it. 3. The moving mass m (the black dot attached to the string) will be left as 0.025 kg (25 g) throughout the whole experiment; if it is not 25 g, change it to 25 g using the up and down red arrows. Click once on the piece of masking tape right below the tube Isaac Newton is holding. The distance from the moving mass m to the center of the tube, which is the radius R of the circular path the moving mass will follow, should now be the smallest possible. Measure this distance R using the provided ruler and write it in Table 1 in meters . Since the smallest increment on the ruler is 0.1 m (10 cm), you will estimate an extra decimal place (in meters, not cm ) in this measurement. For example, in the following figure, the value of R must be read as 0.25 m. It is not 0.250 m, nor 0.20 m, nor 0.30 m. In the next step you will be counting 20 revolutions of the mass m, so please be very careful during this measurement and do not be distracted, otherwise you will end up repeating the experiment . AGB_DallasCollege
Lab 5: Centripetal Force 3. Click on the “Start” button and click on the “Pause” button at the instant when mass m completes 20 revolutions . Read the “Elapsed Time” and write this value in Table 1 under the t 20 column. Divide this elapsed time by 20 to obtain the period T, which is the time for one revolution (T = t 20 /20) and write the period in Table 1. [ Reminder: Do not start counting “one” when you click the Start button, since the mass has not completed its first revolution yet. You should start counting at “zero” when you click Start, then “one” when the first revolution is completed, and so on. Also, it is ok if the mass is not exactly at the same position at the end when you click Pause than where it was at the start. Because of the reaction time and the time lag between the moment you click Pause and the moment the mass will stop, it is very difficult to stop the mass exactly at the same starting position. ] 4. Calculate the experimental speed using the formula v e = (2πR)/T and write it in Table 1. 5. Calculate the theoretical speed v t using the formula v t = R F c m , and write this value in Table 1. Remember to use standard SI units for all quantities used in all calculations. 6. Calculate the percent of error of v e relative to v t using the formula % error = (| v e v t |/ v t ) x 100 and write it in Table 1. 7. Click on the “Reset” button. Click once on the masking tape to increase the radius R to its next possible value. Measure the value of R and write it in Table 1. 8. Repeat steps 3 to 7 until Table 1 is completed. AGB_DallasCollege
Lab 5: Centripetal Force Name: Brandon Cook _____________________________________ EXPERIMENTAL DATA Table 1 . Number of washers: __7____ Total mass of washers = # washers x 0.010 kg = m w = ___.07_____ kg Centripetal Force F c = weight of washers = m w x 9.81 m/s 2 = ____.6867________ N Moving mass m : 0.025 kg Radius of circle (m) Time for 20 revolution s t 20 (s) Period T (s) Experimental speed v e (m/s) Theoretical speed v t (m/s) % error of v e .25 m 12.8 s .64 s 2.45 m/s 2.62 m/s 6.5 % .32 m 14.7 s .73 s 2.75 m/s 2.96 m/s 7.1 % .58 m 19.3 .96 s 3.79 m/s 3.99 m/s 6.7 % .65 m 20.7 s 1.03 s 3.96 m/s 4.22 m/s 6.2 % .81 m 22.9 s 1.14 s 4.46 m/s 4.72 m/s 5.5 % AGB_DallasCollege
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Lab 5: Centripetal Force Questions 1 . Why can’t we measure in this experiment the period T using the elapsed time for a single revolution, given that this is definition of period (period = time for one revolution to take place)? The reason why we cannot measure the period T using the elapsed time for a single revolution in this experiment, given that this is the definition of Period is because if we are to use the elapsed time for a single revolution then related quantities like the velocity will also be affected. 2 . What effect would have in this experiment if we used the time for 50 revolutions instead of 20 to measure the period T? If the number of revolutions is increased the average will become more accurate than an experiment with a lesser number of revolutions. It is and should always be a common practice to have more repetition to decrease the percentage of error in the final value. 3 . What force is the centripetal force that keeps a car moving in a circular path? In this scenario, the car is changing both its direction and its velocity constantly. Because of the continuous change in velocity, the car will accelerate and direct towards the center of its circular path. As a result of this acceleration, the vehicle is influenced by a force known as centripetal force. This force is provided by the frictional force between the material that is being driven on and the tires of the vehicle. AGB_DallasCollege
Lab 5: Centripetal Force AGB_DallasCollege