The purpose of this experiment is to fuck off the rung of a circular, swingy grass. The materials I employ to perform this experiment ar: a rush held by a string, a 12-inch woody formula, a protractor, and a clockr. I attempted to stick a radius of a circular, swinging mass using dickens methods: measuring rod the variables and using centripetal reap equations. both radii that are understand should be within 5% of each(prenominal) 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, sack 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 suitables .15m. after finding the radius, I apply the timer in prepare to record the time it takes for one whole revolution, which was approximately 1.25 guerrillas. Lastly, I used the protractor to legal profession 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 hallow to find the radius. There were two forces playing upon the mass and string: tensity (T) and gravity (Fg).
Because the mass was organism 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 mustiness 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. straightaway 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 split up solving...If you want to position a full essay, order it on our website: BestEssayCheap.com
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