Sample Calculations: Show work. Start with the formula, write the substitutions and box the final answer with the SI unit.

Part 1. Determination of Density Using Buoyant Force

1. Water temperature: 18.0 ^oC; 64.1 ^oF Density of water: 0.998595 g/cm³

Reference:

2. Density of Metal A

3. Percent Error or Percent Difference:

(Explain why % Error or % Difference is more appropriate to use.)

Calculations for Part II Density Using Mass and Volume:

Show work. Start with the formula, write the substitutions and box the final answer with the SI unit. Use g_ust=9.793 m/s².

1. Mass of metals A, B, and C: [Use Part I mean weight in air to calculate mass.]

A:

B:

C:

2. Volume of metals A, B, and C [in SI unit]

A:

B:

C:

3. Density of metals A, B, and C [in SI unit]

A:

B:

C:

4. Percent Error or Percent Difference: (Show only for metal A.) *Explain why % Error or % difference is more appropriate to use.

* Reference: Table 3: DATA for Part II Density Calculation Using Mass and Volume [ = 100% x known density - ex Instrumental Uncertainty of Dial-type Caliper: known dent RAW DATA CALCULATED DATA OBJECT Volu Mass of Density Density Percent Height Diameter *Radius me Metal by volume Emon Differen (mm) (mm) (mm) (m') (kg) (ko/m ) (kg'm ) Metal A Cylinder) 77.91 46.97 23.485 43499 0.9495 7.03x 10 0.01593 Metal B (Sphere) 58.03 29. 045 402319 4.067 4.04x 10 70.02746 Length Width Height Metal C rectangular prism 402 .18 51.20 25.59 133877 0. 334 2.47x10 0.00625 (block) SAMPLE CALCULATIONS : Show work. Start with the formula, write the substitutions and box the final answer with the SI unit. Part 1. Determination of Density Using Buoyant Force 1. Water temperature: 18.0.C: 64.{ F Density of water: 0.998595 q /cm Reference: 2. Density of Metal A 19300 - 15900 100 = 17.6% 19300 3. Percent Error or Percent Difference: ("Explain why % Error or % Difference is more appropriate to use.) The percent error is positive of-17.6 7.CALCULATIONS for Part II Density Using Mass and Volume: Show work. Start with the formula, write the substitutions and box the final answer with the SI unit. Use gust = 9.793 m/s'. 1. Mass of metals A, B and C: [Use Part I mean weight in air to calculate mass.] A: B: C. 2. Volume of metals A, B and C [ in SI unit] A: V : irth VIA (23.485) (77.91 ) V : 1'/1997 m' B: V : 4mr' V : 4 ( m)(29.045)' V : 102319 m" C V : L . V . H V : 402 .48 x 51.20 x 25.59 V : 47817 m' -3-3. Density of Metals A, B and C: [in SI unit] A: B: C: 4. Percent Error or Percent Difference: (Show only for metal A.) *Explain why % Error or % difference is more appropriate to use.UNIVERSITY ST. THOMAS HOUSTON PHYSICS 1 Names: Date: ARCHIMEDES' PRINCIPLE Part 1. Determination of Density Using Buoyant Force Table 1: RAW DATA [ FROM CAPSTONE GRAPHS] RESOLUTION OF HIGH- RES FORCE SENSOR: Weight in Air (war) Weight in Water (Water) (N) (N) Trial Mean 2 3 Mean Metal A 9. 324 9.620 8.956 9.300 8. 750 8.999 8.368 8.746 Metal 9.905 10.772 40.665 10.45 9.561 40. 368 10.292 10 07 Metal C 3.040 3.312 3.375 3. 242 2.475 2.813 2 865 2.724 Table 2: CALCULATED DATA Equation 7 Buoyant Force Densityexperimental *Densitykswan Name of Percent Object (Fb) (kg/m') (kg/m') Metal Error Difference ( =)wai> (N) Metal A (Cylinder) 0.584 45 , 900 19, 300 Lungsten 17.6 7 Metal B (Sphere) 0. 38 27,461 19,320 Gold 42.19. Metal C Iron or (rectangul 0.518 6, 250 7,800 19.9 %. ar block) -1