lab 10

Lab #10: Centripetal Force - Lab REPORT

Intro Centripetal Forces implies "center-seeking," gravitational and electrical interactions are given, correspondingly, for both of these situations. The World orbits around the Sun, for instance. The electrons that pass around the nucleus are another example. The centripetal force is also what holds certain objects in space. As it goes along the object has a constant speed, but momentum varies in terms of position when it moves in circular motion, so the direction's velocity is perpendicular to the circular motion. This transition is the product of centripetal acceleration due to centripetal force velocity. Objective In this lab you will swing an object of mass m on the end of a string in a horizontal circular path of radius r . The string tension will provide the centripetal force F that produces the centripetal acceleration and keeps the object revolving in its circular path. The centripetal force will be determined by using a spring scale or force sensor that will measure the tension on the string. By timing the revolutions and calculating the distance traveled by the object, you will determine the velocity v of the object. You will demonstrate the relationships described in between the centripetal force F , the mass m , the radius of revolution r , and the velocity v . F = mv 2 /r v = 2πr/T m/r. Procedures In Part 1, the centripetal force of an object moving in a circular direction at a constant radius of rotation will vary and the velocity of the object will be determined. You will illustrate the dependency of the centripetal force on the velocity square. A string moving through a glass tube mounted at the top of a vertical rod links a spinning target to a force sensor mounted on the rod.

Go to Part 1 Centripetal Force Part 2: Variation of Radius Lab Report Name: 6:19 PM, 11/20/2020 m = 1000 kg F = 2 N Trial r (m) n t (s) T (s) v (m/s) v 2 (m 2 /s 2 ) 1 15.9 2 4.34 6.42 2.34 1.3 2 19.3 2 4.31 4.23 3.32 1.5 3 28.3 2 4.5 4.32 4.21 2.34 4 37.3 2 7.5 4.65 3.32 2.12 Graph Title: Variation of Radius X -Axis Label: error Y -Axis Label: time Expand Report V 2 = 0.0431 m/s 2 r + 0.73 m 2 /s 2 Slope = ( F / m ) exp = 2.45 m/s 2 F / m = 4.23 m/s 2 % error = 2.34 % Variation of Radius

Go to Part 1 Centripetal Force Part 3: Variation of Mass Lab Report Name: 8:05 PM, 11/20/2020 r = 0.100 m F = 1 N Trial m (kg) 1/ m (1/kg) n t (s) T (s) v (m/s) v 2 (m 2 /s 2 ) 1 15.9 2.78 2.34 8.7 4 4.34 5.4 2 19.3 2.79 3.21 9.8 4 2.33 4.3 3 28.3 2.31 3.26 6.5 5.42 3.23 4..19 4 37.3 2.34 3.2 4.3 2.31 3.56 5.42 Graph Title: Variation of Mass X -Axis Label: mass Y -Axis Label: erroe Expand Report V 2 = 0.3781 Nm 1/ m + 3.81 m 2 /s 2 Slope = ( Fr ) exp = 12.3 Nm Fr = 4.50 Nm % error = 3.23 % Variation of Mass CONCLUSION In this experiment, I studied the centripetal acceleration of an object in a uniform circular motion and checked its relationship between force and as a result, centripetal acceleration. The second section of my error analysis explicitly describes what kind of difference the amount of force applied to a given mass will influence its direction and acceleration. When we do such an experiment, we assume the mass to have the defined radius following the process, and that our measured values and experimental values to all be the