5BL Lab 4 Assignment Submission Template - F23v2

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5±!L !Lab 4 ²ssignment aylynn, ²shley, and Sama, 10/30/23, !Lab °1, ±ench 10 C\RhUK]n ZPfSi]nSis\RhUKSI HSISISi]n[Qg your rUKspo]nsUKs o]n UKHQG\Rh s[lSiSIUK, sHvUK t\RhSis Hs H 7±" ZPfSi[lUK H]nSI up[loHSI Sit to your #rHSIUKsQGopUK HssSi[Qg]n\mUK]nt.
2 1. ³escribe your experimental setup, including how you are able to measure the experimental spring constants. ´or this experiments set up we first measured the length of our unstretched spring and then attached our spring to a large ruler using a hook so it’s hanging. Then we attached a weight to the bottom end of the spring, and measured the change in length from when the spring is not stretched at all verse when the weight is pulling down on it. We did this for 2 different weights then used the data collected to solve for k using the equation k=(m1-m2)/(x1-x2)*g. .RYNfm`jjP the masses used and rest lengths of the springs in each mass-spring system. ±EbiNnnbiEmmRY the spring constants and theoretical angular frequencies for your 4 experimental setups, and include an example calculation of theoretical angular frequency below the table. 7KFVV±=8SUNQL =8\VWJP >9UNKFOV" 8oGHl ?6JXYsXYs % P ² % ²³³L ?6JXYsXYs &$ P ´ % ´³³L <UVpWXrRNOSTPL % N ² % µ¶· ¸ 83¹P [ ² % !·¸HP շ WMJRU\ % ³·¶² UKFI¹V [ ´ % µ¶HP շ WMJRU\ % ³·¸µ UKFI¹V <UVpWXrRNOSTPL &$ N ´ % ¸! 83¹P [ ² % ´º·µHP շ WMJRU\ % ³·» UKFI¹V [ ´ % ¸º·µHP շ WMJRU\ % ³·º UKFI¹V
3 2. .RYNfm`jjP the time required to complete 10 periods of oscillation for each setup. ±fm`cj]tgnnmmRY the observed angular frequency from these times and the percentage error from these and your theoretical predictions in question 1. µompare results to your prediction. ³iscuss possible sources of error, and which source(s) you think is/are most likely and why. ±e specific. Our results reflect our predictions of having the mass 2, the heavier mass, take a longer amount of time to complete ten oscillations for both springs (11.35 > 7.5, 12.62 > 9.09). µonversely, the times we calculated were different than our observed data, but error remained below 15% for each trial. Possible sources of error include releasing the weights from different tensions i.e. pulling it down at different by different lengths, starting and stopping the stopwatch at inaccurate times (too early or too late)--especially late reaction time at 8 am, and our springs having slight kinks in them, 7KFVV±=8SUNQL =8\VWJP >9UNKFOV" 0xpHrLmHnt ?6JXYsXYs % P ² % ²³³L ?6JXYsXYs &$ P ´ % ´³³L <UVpWXrRNOSTPL % N ² % µ¶· ¸ 83¹P ²³>9 % »·º V շ RLGV % ·µ UKFI¹V ¼ /UURU % ²´·»¸¼ ²³>9 % ²²·µº V շ RLGV % º·º¸ UKFI¹V ¼ /UURU % ²²· ¼ <UVpWXrRNOSTPL &$ N ´ % ¸! 83¹P ²³>9 % !·³! V շ RLGV % ¶·!² UKFI¹V ¼ /UURU % ·! ¼ ²³>9 % ²´·¶´ V շ RLGV % ¸·!! UKFI¹V ¼ /UURU % ·! ¼
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