Lab 6 _ Centripetal Force Justin Fan

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Indiana University, Bloomington *

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Jan 9, 2024

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Lab 6 :Centripetal Forcex Introduction Per Newton's First Law, objects maintain their motion unless acted upon by an external force. For circular movement, this external force is termed centripetal force, computable via Newton's second law. In our lab, we used a rotating setup and spring to measure this force and compared it with direct spring readings. We also estimated an unidentified weight's mass, validating it against a digital scale measurement. Procedure A. Determining Centripetal Force Period of Motion - Set up the apparatus with the lighter red bob, measure and record its mass using the balance, hang it from the crowbar, adjust the pointer to align with the center of the bob, and attach the spring to the bob. - Rotate the bob by twirling the center rod to maintain a constant speed, ensuring the bob swings above the pointer in each revolution. Have one partner rotate the bob while the other times and record ten complete rotations, switching roles for several trials to minimize error. - Estimate the uncertainty in the radius of rotation by determining the uncertainty in measuring the clicker’s distance from the vertical rod's center, measuring the width of the clicker, observing any wobble while rotating the bob, and calculating the overall uncertainty in radius using the given formula. - Determine the period T + δT from your table of times (remembering you timed ten revolutions), use Equation 3 to calculate the centripetal force F C,I, and calculate the uncertainty in centripetal force δF C,I considering δT and δr. Direct Measurement Connect a string to the outer edge of the bob, align it with the pulley, hang a 50g weight from the other loop, add slotted masses until the bob is pulled directly over the clicker, calculate the weight W = mg, and estimate the uncertainty δF C,II for the weight. B. Unknown Bob Mass
- Set up the apparatus with the heavier bob without moving the clicker or using the pulley, and measure the rotational period in a similar manner to Step 2. - Determine the period T + δT from your table of times (again, you timed ten revolutions), use Equation 4 to calculate the unknown mass, m2, and calculate the uncertainty in centripetal force δm2. - Measure and record the actual value of the unknown mass using the scale. Analysis ( for calculation, measurements, and diagram please check the appendix) Table for Part A Trial (10 rev) Period (s) 1 10.07 2 10.34 3 10.39 4 10.27 5 10.50 average 10.31+/- 0.0716 Table for Part B Trial (10 rev) Period (s) 1 17.37 2 18.60 3 18.25 4 17.26 5 17.80 average 17.86 +/- 0.288
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