Swinging Your Mass

The purpose of this experiment is to fuck off the rung of a circular, swingy grass. The materials I employ to perform this experiment argon: a crowd together held by a string, a 12-inch woody swayer, a protractor, and a clockr. I attempted to stick a radius of a circular, swinging mass using ii methods: measuring rod the variables and using centripetal phalanx equations. both(prenominal) radii that are understand should be within 5% of severally other. To begin the archetypal method I laid the ruler on a flat surface, and then I swung the mass in a circle above the ruler horizontally, going away around the edges of the ruler. This creates a diameter of 30 centimeters. Dividing the diameter by 2 gives me a radius of 15 centimeters; converted to meters bear ons .15m. after(prenominal) finding the radius, I apply the timer in hallow to record the time it takes for one whole revolution, which was approximately 1.25 backs. Lastly, I used the protractor to legal prof ession the angle, ?, to the vertical, which should be 16°. These two variables leave be used to prepare for the second method. The second method I used involved looking at the forces happening in the x and y directions and applying centripetal force formulas in roll to find the radius. There were two forces playacting upon the mass and string: tensity (T) and gravity (Fg).

Because the mass was universe held at an angle, force of tensity is calculated by Tcos74 in the y-direction and Tsin16 in the x-direction. Starting with the x-direction, thither is force of tension, Tsin16, and because it is moving, Tsin16 will equal ma (Tsin16 = ma). Because we are ! laborious to find out the radius, I changed ma to mr?^2 (Tsin16 = mr?^2). Therefore, r = Tsin16/m?^2. In order to solve this equation, we must(prenominal) find some(prenominal) T and ?. To find T, we must look into the y-direction. Because the mass is not moving up or down, Tcos74 = Fg. Therefore, T = mg/cos74. at one time to look at ?. ? = ??/t; therefore, ? = 2? rads/1.25s, which will turn out to be 5.026548246. Now that we have both T and ?, we can finally pass over solving...If you want to position a full essay, order it on our website: BestEssayCheap.com

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