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## How to Graph Data LC Higher Physics Graphing data Graphing data Graphing data Graphing data

Cebedo, Francis, Founder and General Manager has reference to this Academic Journal, PHwiki organized this Journal How to Graph Data LC Higher Physics Copyright © Dee Maguire CBS, Kilkenny For non-commercial purposes only Enjoy! Comments/suggestions please to the SLSS physics website as long as um @ http://physics.slss.ie/ as long as um Graphing data Sometimes students think it is a straight as long as ward matter of graphing one line of data against the other . s t 30 40 50 60 70 80 90 420 409 371 342 325 291 244

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In fact there are several major errors in this graph How many can you spot s t 30 40 50 60 70 80 90 420 409 371 342 325 291 244 Here are some hints s t 30 40 50 60 70 80 90 420 409 371 342 325 291 244 So, it may not be as simple as graphing the exact data that is in the exam question but there are a number of guidelines to help you

Lets have another quick look at the relevant wording of the question The word suitable is important. This is usually a strong hint that the data in the table needs to be manipulated a bit be as long as e you graph it That means that you may have to square the values of one line of data or maybe halve it or double it etc, be as long as e you try to graph it To decide how to manipulate the data, you must refer back to the as long as mula that is relevant to that experiment In the example above, the relevant as long as mula is:

Graphing data when a body falls freely under gravity u = 0 in addition to a = g => s = ½ gt2 Here, we have the link between s in addition to t Note: the t is squared This means we also need to square the t values to ensure we get a straight line graph Add a new line to the table in addition to square the t values, using your calculator t2/s2 0.0595 0.085 0.106 0.117 0.138 0.167 0.176 Note: the units as long as t are also squared Now you are ready to draw the graph. There are a few easy things you can do straight away: Ask as long as graph paper (no marks otherwise!) Title the graph Decide what data will go on each axis Title the axes (include units)

Graphing data Ask as long as graph paper (deducted most marks otherwise!) seriously! Graphing data Title the graph You can find a very suitable one in the question Graphing data (iii) Decide what data will go on each axis As a rule, their top line is your bottom line so s will go on the x axis Dont as long as get to convert to SI units! t2/s2 0.0595 0.085 0.106 0.117 0.138 0.167 0.176

To measure g, the acceleration due to gravity, by freefall s / cm So far the graph looks like this .on graph paper naturally! Graphing data From the as long as mula, we know we need s in addition to t2, so the middle line of data is not used in the graph. The y axis will hold the t2 values. Also quote the correct units (s2) t2/s2 0.0595 0.085 0.106 0.117 0.138 0.167 0.176 To measure g, the acceleration due to gravity, by freefall .on graph paper naturally! s /cm t2 / s2

Graphing data The next stage is VERY IMPORTANT Lets have another look at the data we now want to plot .start with s t2/s2 0.0595 0.085 0.106 0.117 0.138 0.167 0.176 Graphing data The values go from 30 up to 90 . but you MUST start at zero Use as much of your graph sheet as possible but make sure you go at least as far as 90 ideally up to 100 You must make equal sized intervals along your x axis To measure g, the acceleration due to gravity, by freefall s /cm 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 t2 / s2

Now decide on how your y axis will be divided . The values go from approx 0.06 to 0.17 but you MUST start at zero You must go AT LEAST AS FAR as 0.176 Try to use as much of the page as possible, using EQUAL sized divisions Do NOT write the above readings on your graph!!!!!!!!! t2/s2 0.0595 0.085 0.106 0.117 0.138 0.167 0.176 To measure g, the acceleration due to gravity, by freefall s /m 180000 160000 140000 120000 100000 80000 60000 40000 20000 0 Now, start plotting your points Identify a point by placing a dot exactly at the point, in addition to draw a small circle around it to highlight it t2 / s2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 You must NEVER join-the-dots! Always pick a best-fit line. If the dots dont as long as m an EXACT straight line, make sure there is the same number of dots on each side of the line.

To measure g, the acceleration due to gravity, by freefall s /m 180000 160000 140000 120000 100000 80000 60000 40000 20000 t2 / ms2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 s /cm 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 To measure g, the acceleration due to gravity, by freefall t2 / s2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 To read a slope from the graph, take two points ON THE LINE, (not from the table) that are far apart Usually we can use the origin as one of these points Then use the as long as mula: slope =

s /m (90, 0.176 (0,0) To measure g, the acceleration due to gravity, by freefall t2 / s2 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 From the graph the units are: From the as long as mula

If you make a mistake on your division of axes etc, it is often quicker in addition to neater to start again .Ask as long as more graph paper

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