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The value of the y-intercept shows systematic errors in our measurement of the starting acceleration of the cart since we expect it to be exactly zero. The slope is determined to be g = 10.0 sm2 while the intercept is ao = −0.224m. In Figure 1 our group plotted all the data in this way along with the best linear fit to the data. The slope of this line is local accelerationĤ due to gravity. Inspection of the equation found for the acceleration shows us that the cart’s acceleration a depends linearly on the ramp’s angle sin θ. The slope of the graph is acceleration due to gravity. The second problem wasn’t really minimized in any way so our group just had to stick with a little bit of friction between the two surfaces which caused a slight deviation between our calculated value of gravity and the actual value of 9.81 sm2. ![]() This does not completely eliminate the problem but does throw out the trials which clearly had problems during release. Our group were able to minimize the effect of the different time values by releasing the cart a little bit after the timer had started. ![]() Secondly,ģ there was friction between the cart and the ramp so it wasn’t really friction-less. This would result in shorter elapsed times between photogates and therefore, larger values for g. First of all, the release timing was not very reliable, causing the cart to start slightly after the timer started. During the course of the experiment, our group noticed several problems with the equipment that could result in systematic errors. This was performed this 5 times with 3 trials for each angle that was used. When the cart is released, the cart rolls along the ramp and passes both photogates before being stopped before it hits the ground. Along the ramp were 2 photogates that were held by clamp stands that were at different heights. This cart was held at the top of a ramp that was at a positive angle to the horizontal. Method Our experiment consisted of a 0.10m four wheel plastic cart. Namely, if one has the means of measuring the angle of the plane and acceleration of the cart, then the acceleration due to gravity can be easily determined using the equation. Therefore, from this equation, our group knew what to base our experiment on. #MEASURING THE ACCELERATION DUE TO GRAVITY LAB FREE#The first step was solving for the equation for acceleration using free body diagrams and analysis of forces acting on the cart while it was on the inclined plane. In this lab, our group solved for the acceleration due to gravity on an inclined plane. The motion of a freely falling objects is one dimensional motion with constant acceleration. The direction of g is downwards, towards Earth’s center and it’s magnitude is approximately 9.81 sm2. Introduction Throughout this world, it is very well known that if the effects of air resistance are ignored, any object dropped near Earth’s surface will move with a constant acceleration g. Our resulting value for gravity was g = 10.0 sm2 This value was surprising due to the possible reasons for error which should have decreased the value for gravity. #MEASURING THE ACCELERATION DUE TO GRAVITY LAB PRO#We measured the acceleration of an object moving down an inclined plane using Logger Pro motion detectors. In this lab we found the local acceleration due to gravity g by measuring the acceleration of a cart on an inclined ramp at a specific angle. Henry Zhang Advanced Physics October 1, 2018Ībstract The rationale behind this lab was to find the relationship that the force of gravity had on a cart on an inclined plane. ![]() Local Acceleration Due to Gravity Lab Report ![]()
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