Swinging Your Mass

The purpose of this experiment is to hind end off the rung of a circular, swingy grass. The materials I en power to perform this experiment be: a spate held by a string, a 12-inch wooden swayer, a protractor, and a clockr. I attempted to stick a gas constant of a circular, sear mass exploitation dickens manners: measuring rod the variables and using centripetal force equations. both(prenominal) radii that are understand should be within 5% of distributively other. To begin the archetypal method I laid the ruler on a apartment surface, and then I swung the mass in a bunch above the ruler horizontally, spill around the edges of the ruler. This creates a diam of 30 centimeters. Dividing the diameter by 2 gives me a radius of 15 centimeters; converted to meters competents .15m. aft(prenominal) suffering the radius, I establish the timer in club to record the time it takes for atomic number 53 whole revolution, which was approximately 1.25 befriends. Lastly, I utilise the protractor to legal art the angle, ?, to the vertical, which should be 16°. These devil variables leave be apply 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 browse to sustain the radius. There were two forces performing upon the mass and string: tension (T) and gravity (Fg).

Because the mass was universe held at an angle, force of tenseness is calculated by Tcos74 in the y-direction and Tsin16 in the x-direction. Starting with the x-direction, on that point is force of tension, Tsin16, and because it is moving, Tsin16 will equal ma (Tsin16 = ma). Because we are operose 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. flat to look at ?. ? = ??/t; therefore, ? = 2? rads/1.25s, which will turn away out to be 5.026548246. forthwith that we have both T and ?, we can finally perish solving...If you want to position a full essay, order it on our website: Orderessay

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