Air Track Glider Physics Lab

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PURPOSE:To study accelerated motion of a glider on an air track.2. APPARATUS:Air track, spark recording tape, gliders of various masses, slotted weights, air pulley,weight hanger, size of 1/4 inch wide magnetic recording tape.3. BACKGROUND:(1) Simanek, Donald E. An Summary to File Analysis. Chapter 8.(2) Experiment K-1 of this manual, for the approach of data repertoire and also evaluation.4. FLETCHER TROLLEY:Fig. 1. Accelerating a glideron a level air track.A glider moves with incredibly little bit friction on an air track. If collection in activity on a level track it therefore moves through almost continuous velocity. We deserve to make the glider acceleprice by applying a pressure on the glider. This will certainly be done by attaching a length of mylar magnetic recording tape to the glider, passing the tape over an air pulley-block at one end of the track, and attaching small slotted weights to the cost-free finish.The hanging weight must be small compared to the glider"s weight. We want to store the glider velocity incredibly small at all times. The 50 gm weight hangers need to not be provided, for that much weight would certainly create as well a lot acceleration. Attach slotted weights straight to the finish of the mylar tape.Take information for at least 4 various glider masses, and 4 different hanging weights.Conserve data tape by putting four records on each tape. Do this by slightly bfinishing the sparkwire on the glider to find it at any kind of among 4 imaginary parallel "tracks" along the waxedtape. As such you will need only 4 lengths of tape for this component of the experiment.5. TILTED TRACK:Riser blocks of various thickness are accessible. They might be inserted under the leg at one finish of the track to provide a recognized, little, tilt angle. The glider will certainly accelerate on the tilted track bereason the pressure of gravity on the glider has actually a component parallel to the track. No other speeding up force will certainly be provided in this part of the experiment.Meacertain the glider acceleration for 4 various mass gliders, and also in each case, for four various tilt angles. Record 4 tracks of information on each tape as in section 4.The objective is to see exactly how the acceleration is dependent on (1) the mass of the glider,and (2) the tilt angle.6. ANALYSIS:This is one of the "simpler" experiments you will certainly perdevelop in this course. Thus takethis possibility to learn an easy approach of information evaluation which is reasonably standard, and also hasapplicability to many kind of of the even more advanced experiments you may perform in thefuture.In part 4 the object was to investigate the relation between glider acceleration and appliedpressure, to see whether the information is in agreement with Newton"s legislation, F = ma. The used forceF is extremely practically equal to the weight of the hanging mass, F =~ W.You took information for a variety of different mass gliders, m. For each one you used severalvarious weights, W, and measured the acceleration, a.One technique to the analysis is strictly algebraic. For each situation you usage the information for Wand also m in W = ma to calculate the intended acceleration. Compare that via the experimentallymeasured acceleration in each case and note the discrepancy in between theory and experiment.This is a relatively crude and also unadvanced approach which would rarely be used unless nobetter methods were easily accessible.The formula W = ma is a straight relation in between W and a, whose graph is a straightline.Plot the experimental information, a vs. W, for a solitary glider. This line need to have actually slope1/m. File from the other gliders provide lines of different slopes. These might be plotted on onesheet of graph paper. This graph clearly shows the results, the top quality of the information, and theagreement between concept and information.One have the right to likewise plot this data one more way. If we plot every one of the data for a single worth ofW, graphing a vs. 1/m, we need to gain a linear relation of slope W. As before, all of the datamay be plotted on a single sheet, each value of W developing a various right line. If youinvolved laboratory well prepared, you probably provided the same set of weight valuesfor each different glider, to facilitate making this graph. If you didn"t, you deserve to still extract datafor a solitary weight from your previous graph.Calculate the slope of each of the lines on the graphs. Now, on another piece of graphpaper, plot these slopes against the matching mass m (or against the weight W = mg, ifyou like). Is this a straight line?Similar methods may be used to analyze the data of part 5. The two goals clearlyimply which graphs you need to make.6. QUESTIONS:(1) Derive the formula for the acceleration of a glider on a tilted frictionless track, as a function of g and also tilt angle. Make no approximations.(2) Expush the formula of question (1) in an approximate develop valid for small tilt angles. (The angle θ will appear in the equation, but trig functions of the angle will certainly not.)(3) In the setup used in part 4, prove (derive) the truth that the tension in themylar tape is T = m(g-a) wbelow m is the hanging mass and also a is the glider"s acceleration.(4) How tiny should the acceleration be for the anxiety in the mylar tape to be equal tothe hanging weight, to 1% accuracy?(5) In the light of inquiries (3) and also (4) the force the tape exerts on the glider is theanxiety in the tape, so T = Ma = m(g-a)so the glider"s acceleration is

mga = ————— M + m

wbelow m is the hanging mass, and also M is the glider mass.The relation in between a and also m is therefore not strictly straight. Using your range of information values, exactly how accurately would certainly you have to meacertain a, m, and M to detect this non-linearity?(6) In the light of questions (1) and (2), just how accurately would you have to measure a andθ to conclusively differentiate in between the specific and theapproximate formulae?

(7) Look up coreliable of restitution in your textbook or various other references. Can you calculate this quantity from your data? If so, what is it? If not, explain what you would certainly must carry out to identify its worth.