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Oklahoma State University *

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1114

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Mechanical Engineering

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Apr 3, 2024

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4

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Lab Report (100 pts) N ame: I\Aortll (j 1 ,ie.cl PHYS l\ ):\ CR N : 1-'-'l?.. 7 "!) Day and Time: 'Ntd V\ tSdo \\ '!:>~ ' Lab Partner: V:\ bb · , I ¼ tncd Part 1: Comparing the Uncertainty of Instruments (48 pts) Lab 1 Measurements & Uncertainty r·-·-·-·-·-·-·-·-·-· . STATIO N CHECK I Station #: '1 -----'-- TA Initials~ ..._ ·-· -·-·-·-·-·-·-·-· a. Using the ruler, measure the length and the diameter of the copper cylinder and record. (4 pts) d = / . :SD c,m L = 3 · i 0Ll'\I\ b. Using the equation, V = ¼ h d 2 , calculate the volume of the cylinder. Show work to receive credit. (4 pts) V= 5 .C)y~ c. Calculate the uncertainty of the copper cylinder. Show work to receive credit. (14 pts) Accuracy of ruler: 1:_ 0 · D <;' V upper = 5 , 'J I C ll\;\ J I V1ower = _'-1_, _loD_U\,,_ 1 PHYS 1114 & PHYS2014 Lab Manual 11 2023-2024
Lab 1 Measurements & Uncertainty .y A OJ %uncert = - /O '? ,5"" I c.""' 1 - 4 •h~ c..~-, •) f c"' 1 -t t.J, '0 G"'-' 1 d. Using the Digital calipers, measure the length and the diameter of the copper cylinder and record. ( 4 pts) e. Using the equation V = ¼ 1C h d 2 , calculate the volume of the cylinder Show work to receive credit. ( 4 pts) f. Calculate the uncertainty of the copper cylinder. Show work to receive credit. (14 pts) Accuracy of digital calipers: 6t>CJS' Ytower = l,,, L\ 'l '1 (i)o,.> I/'( rf ( '3, i O~S') ( r yr97) %uncert = D 'OV\'j. _Lf_, 7_5_i;_J_c.._""_1_,,_4_._1_~_b_>_~,..---;-1 -- X. / 00 · ;, l./, 1 S"°~ I C .... , l 4 'I 7 (/ (I "t C~ J g. What does the percent uncertainty tell you about the choice of instruments? (4 pts) c_c.J,re.n w·,u 6,\/l, 12.,v \w- fC t 9 '/, . / PHYS 1114 & PHYS2014 Lab Manual 12 2023-2024
Lab 1 Measurements & Uncertainty Part II: Percent Difference (29 pts) a. Using the digital calipers, measure the diameter of the I-meter length of copper wire.(3 pts) L = 100 cm b. Using the equation for the volume of a cylinder, calculate the volume of the wire. Show work to receive credit. ( 4 pts) c. Using the digital scale, weigh the copper cylinder and the copper wire. ( 4 pts) fficylinder = 4' 7_, , 7 C[ mwire = tf b-:> i d. Using the equation p = m, calculate the density of both objects. Show work to receive credit. V (8 pts) Pcylinder = Pwire = e. Compare the two values for the density of copper using a percent difference. Show your work (4 pts) O/od · ffi - () , '71 l,p '/, IC 1 erence - ___ _ X /DO"/. PHYS 1114 & PHYS2014 Lab Manual 13 2023-2024
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Lab 1 Measurements & Uncertainty f. List two reasons (other than the expected errors in the dimension meaurements) that might explain any percent difference between the two values for the density of copper. (6 pts) i~.yVf,~'v/ l\n Corfu-- "" CO('('V' \- s, 1 r;;°'t{ . Part III: Percent Error (23 pts) a. Using the digital calipers, measure the diameter of the steel sphere. (3 pts) d = 2. 'YY c~ b. Using the equation V = ¼ 1r d 3 , calculate the volume of the sphere. Show work to receive credit. (4 pts) V I / t, j( ( "l- .~ )1 c. Using the digital scale, measure the mass of the sphere and then calculate the density of steel. Show work to receive credit. (6 pts) d. Most textbooks list the density of steel as 7.8 g/cm 3 . Calculate the percent error in your experimental value for this quantity. Show work to receive credit. (4 pts) OJ _ J L' , . S!:/ t ') - l , IP l 5::1 (.."" 1 _ /Oerror - \D /, (f- f- _ t'L~1 e. List two reasons (other than the expected errors in the dimension measurements) why your measured value for the density of steel may differ from the accepted value. (6 pts) ,. NY\~; t- s 1/\ J ~, r , (V\C,OfVV-.J- fiJ -R 1/ PHYS 1114 & PHYS2014 Lab Manual 14 2023-2024