cooling/mechanical

Introduction

This experiment uses the computer program TracerDAQ to determine heat loss and record temperature over a period of time. Higher surface areas would result in a high cooling temperatures according to convective cooling. However, standard calculations don’t account for other factors such as gravity. One focus is to determine whether or not changing the surface area subject to gravity affects the cooling rate of the object. Another focus is comparing heat loss rates with different materials.

The program uses the same thermocouple to acquire results for the experiments. Information then goes through an amplifier and A / D board to constantly record the temperature.

Theory

The purpose of the experiment was to determine whether or not the orientation or position of an object in respect to gravity will affect the rate of cooling. In a Control Volume system, the formula for heat loss is:

Qdot = m * Cp * DT/dt

In relation, the formula for convective cooling is:

Qdot = -h * A * (T - Ta)

Where h is the heat transfer coefficient. If both equations were to equal together, the resulting equation will be:

dT / (T−T∞) = − dt / τ

Where τ = mCp / hA. The equation can then be integrated and rewritten as:

(T−T) / (Ti − T) = e ^ (-t / τ)

Where Ti is the initial temperature at t = 0.

Furthermore, we can declare that an object has a uniform heat distribution if Bi (Biot Number) is less than .1. The equation for the Bi is:

Bi = - hL / k

Because our objects is spheres and cubes, L = D / 6. Once h is determined, we can calculate the Biot number value and verify the uniform heat distribution throughout the objects.

Experimental Procedure

Header Size: 8

Version: 2

Sampling Interval: 4

Sampling Rate: 0.25

Sample Count: 675

Device Serial Number: 0

Culture Info: en-US

Sample Number

Date/Time

CHANNEL0

CHANNEL1

CHANNEL2

CHANNEL3

Events

09:31.3

96.78052

100.049

93.51766

92.7237

DAQ Start

LOG Start

09:35.3

94.6349

94.97813

90.32169

90.18092

09:39.3

93.60907

92.20478

88.24907

89.70265

09:43.3

92.83234

90.62181

86.27366

89.06199

09:47.3

92.18414

89.4566

84.56087

88.533

09:51.3

91.79549

88.86477

83.20285

87.94211

09:55.3

91.49573

88.31786

82.09596

87.68462

09:59.3

91.06771

87.97991

81.15548

87.6514

10:03.3

90.54916

87.70117

79.92236

87.63866

10

10:07.3

90.07372

87.452

79.10197

87.55497

11

10:11.3

89.66562

87.16432

78.33322

87.48182

12

10:15.3

89.33918

86.90532

77.6238

87.455

13

10:19.3

89.12218

86.7028

76.7456

87.35918

14

10:23.3

88.83614

86.4519

76.02013

87.23562

15

10:27.3

88.62991

86.23685

75.48945

87.07291

16

10:31.3

88.36901

86.02271

74.77069

86.8427

17

10:35.3

88.06332

85.81754

74.18481

86.66035

18

10:39.3

87.81767

85.59622

73.48264

86.46247

19

10:43.3

87.5909

85.35168

72.69301

86.26788

20

10:47.3

87.36056

85.22088

72.17264

86.09603

21

10:51.3

87.06657

85.14114

71.58565

85.7243

22

10:55.3

86.85239

85.19849

71.01501

85.60702

23

10:59.3

86.63201

85.41711

70.53521

85.33817

24

11:03.3

86.41067

85.61329

70.01872

85.00777

25

11:07.3

86.14546

85.72079

69.58221

84.99308

26

11:11.3

85.9134

85.7602

69.19401

84.96369

27

11:15.3

85.70378

85.75663

68.83501

84.74257

28

11:19.3

85.4897

85.74233

68.3944

84.4259

29

11:23.3

85.29172

85.659

68.04731

84.17824

30

11:27.3

84.99876

85.52818

67.53757

84.13721

31

11:31.3

84.75246

85.37231

67.1774

83.995

32

11:35.3

84.51332

85.2451

66.73699

83.85192

33

11:39.3

84.27509

85.15105

66.15961

83.67447

34

11:43.3

84.06102

84.88319

65.71819

83.47552

35

11:47.3

83.76729

84.67449

65.35937

83.20464

36

11:51.3

83.52728

84.48908

65.10248

82.99497

37

11:55.3

83.29447

84.27863

64.75425

82.82873

38

11:59.3

83.11451

84.12101

64.43887

82.71987

39

12:03.3

82.86647

83.98129

64.1367

82.51904

40

12:07.3

82.63998

83.77535

63.89379

82.24045

41

12:11.3

82.452

83.62225

63.71695

82.15943

42

12:15.3

82.21745

83.44138

63.42717

81.94128

43

12:19.3

82.02049

83.24616

63.18642

81.7608

44

12:23.3

81.82269

83.12084

62.99748

81.64114

45

12:27.3

81.59171

82.93011

62.74711

81.52288

46

12:31.3

81.36881

82.74744

62.47626

81.3241

47

12:35.3

81.12356

82.57108

62.18496

81.21159

48

12:39.3

80.93559

82.42961

61.97586

80.91329

49

12:43.3

80.70552

82.20577

61.59228

80.56462

50

12:47.3

80.49879

82.0366

61.29559

80.34274

51

12:51.3

80.26427

81.77515

61.05618

80.1401

52

12:55.3

79.99755

81.54242

60.83226

79.94426

53

12:59.3

79.84184

81.38129

60.80926

79.92944

54

13:03.3

79.61274

81.18795

60.70876

79.79608

55

13:07.3

79.44632

81.08235

60.53854

79.63815

56

13:11.3

79.19394

80.84338

60.45759

79.53356

57

13:15.3

79.01323

80.6438

60.4109

79.36979

58

13:19.3

78.83872

80.49345

60.21655

79.18687

59

13:23.3

78.60426

80.26163

60.08523

79.01376

60

13:27.3

78.42533

80.10951

60.05045

78.8985

61

13:31.3

78.18642

79.77033

59.90885

78.67418

62

13:35.3

77.95553

79.64053

59.76619

78.4108

63

13:39.3

77.7739

79.45798

59.66805

78.21107

64

13:43.3

77.56808

79.23961

59.54933

78.04997

65

13:47.3

77.38017

79.12418

59.45456

77.87901

66

13:51.3

77.14214

78.96664

59.25029

77.71775

67

13:55.3

77.00974

78.84854

59.14788

77.62776

68

13:59.3

76.79408

78.66956

59.10593

77.25733

69

14:03.3

76.54626

78.48253

58.92477

77.02163

70

14:07.3

76.40044

78.35729

58.90444

77.03089

71

14:11.3

76.22775

78.13896

58.90794

76.89283

72

14:15.3

76.03897

77.98597

58.81735

76.74303

73

14:19.3

75.89498

77.90994

58.78095

76.66393

74

14:23.3

75.68291

77.75243

58.67304

76.49734

75

14:27.3

75.50577

77.59051

58.53546

76.35252

76

14:31.3

75.29727

77.35426

58.30859

76.15686

77

14:35.3

75.09595

77.17976

58.11938

75.96037

78

14:39.3

74.90089

77.00798

58.01838

75.70258

79

14:43.3

74.72016

76.87465

58.00211

75.61635

80

14:47.3

74.51349

76.68139

57.81973

75.49608

81

14:51.3

74.30051

76.47199

57.68422

75.33747

82

14:55.3

74.12066

76.25457

57.68851

75.17566

83

14:59.3

73.88535

76.05056

57.49128

74.99371

84

15:03.3

73.70818

75.94318

57.349

74.88164

85

15:07.3

73.53549

75.73024

57.30186

74.66155

86

15:11.3

73.40131

75.52538

57.24888

74.42078

87

15:15.3

73.22774

75.29724

57.16151

74.10333

88

15:19.3

73.07654

75.20421

57.09986

74.15248

89

15:23.3

72.88058

75.11116

57.07156

74.06434

90

15:27.3

72.71503

74.92506

56.93347

73.92963

91

15:31.3

72.55309

74.78999

56.89076

73.81168

92

15:35.3

72.34729

74.66738

56.83233

73.65184

93

15:39.3

72.22383

74.57974

56.76387

73.53467

94

15:43.3

72.01352

74.34888

56.56971

73.37883

95

15:47.3

71.84707

74.21286

56.41681

73.24968

96

15:51.3

71.65464

74.03388

56.3093

73.05631

97

15:55.3

71.44881

73.8943

56.23629

72.85634

98

15:59.3

71.3119

73.75204

56.16328

72.68384

99

16:03.3

71.08994

73.57128

56.00758

72.40351

100

16:07.3

70.92259

73.44333

55.96633

72.30428

101

16:11.3

70.7812

73.30825

55.89517

72.2252

102

16:15.3

70.63177

73.17317

55.86355

72.14861

103

16:19.3

70.47337

73.02733

55.81197

72.00843

104

16:23.3

70.28185

72.85462

55.72943

71.85652

105

16:27.3

70.17625

72.76429

55.70649

71.74408

106

16:31.3

70.00175

72.59517

55.52849

71.5779

107

16:35.3

69.85944

72.48064

55.48987

71.46106

108

16:39.3

69.62758

72.28824

55.3357

71.26788

109

16:43.3

69.45299

72.04482

55.22701

70.99847

110

16:47.3

69.31516

71.79246

55.12554

70.80374

111

16:51.3

69.15403

71.58486

55.02913

70.76694

112

16:55.3

69.00185

71.46227

54.9878

70.64148

113

16:59.3

68.81385

71.33787

54.90849

70.31168

114

17:03.3

68.62672

71.21972

54.74219

70.10229

115

17:07.3

68.45213

71.02995

54.63855

70.07272

116

17:11.3

68.29368

70.93333

54.50861

69.94643

117

17:15.3

68.11014

70.8134

54.43536

69.89617

118

17:19.3

67.9687

70.63174

54.40701

69.80578

119

17:23.3

67.86664

70.46619

54.36313

69.66928

120

17:27.3

67.7198

70.28989

54.25546

69.54952

121

17:31.3

67.59716

70.22636

54.15552

69.47166

122

17:35.3

67.42345

70.12522

54.12017

69.3048

123

17:39.3

67.29987

70.0214

54.05558

69.1296

124

17:43.3

67.15122

69.82626

53.89762

68.92145

125

17:47.3

66.93002

69.60159

53.71633

68.80219

126

17:51.3

66.73476

69.39034

53.72227

68.69044

127

17:55.3

66.56008

69.23007

53.64528

68.56519

128

17:59.3

66.44725

69.13162

53.49256

68.45443

129

18:03.3

66.28961

69.01881

53.36631

68.31313

130

18:07.3

66.09164

68.86752

53.32909

68.15259

131

18:11.3

65.97163

68.7413

53.28167

68.06948

132

18:15.3

65.79604

68.56137

53.20392

67.94088

133

18:19.3

65.67691

68.43333

53.10802

67.80215

134

18:23.3

65.53985

68.29277

53.06913

67.6533

135

18:27.3

65.41534

68.18983

53.03388

67.5803

136

18:31.3

65.324

68.07616

52.96925

67.49888

137

18:35.3

65.17079

67.95528

52.90788

67.39624

138

18:39.3

65.04983

67.89262

52.86465

67.18414

139

18:43.3

64.92351

67.79772

52.77483

66.9106

140

18:47.3

64.75148

67.67503

52.63725

66.83301

141

18:51.3

64.56599

67.51386

52.52827

66.71677

142

18:55.3

64.45127

67.35537

52.46598

66.57352

143

18:59.3

64.29979

67.15385

52.39746

66.48569

144

19:03.3

64.10711

67.00519

52.27362

66.25715

145

19:07.3

63.94668

66.91026

52.19478

65.98972

146

19:11.3

63.78176

66.8001

52.14111

65.99478

147

19:15.3

63.66346

66.68457

52.08137

65.92729

148

19:19.3

63.54424

66.51082

51.92984

65.76866

149

19:23.3

63.41516

66.39976

51.86056

65.63699

150

19:27.3

63.32554

66.28515

51.84168

65.64307

151

19:31.3

63.14355

66.15884

51.80001

65.54589

152

19:35.3

63.07095

66.07735

51.73868

65.31132

153

19:39.3

62.91225

65.91341

51.63203

65.16086

154

19:43.3

62.81097

65.78265

51.61142

65.1264

155

19:47.3

62.66393

65.63932

51.53342

65.0436

156

19:51.3

62.49083

65.38129

51.35458

64.88527

157

19:55.3

62.39668

65.26212

51.23666

64.79061

158

19:59.3

62.25051

65.15553

51.1638

64.68999

159

20:03.3

62.10343

65.07307

51.03708

64.55375

160

20:07.3

61.93482

64.9566

50.9807

64.39555

161

20:11.3

61.8012

64.75231

50.93298

64.21786

162

20:15.3

61.68279

64.60177

50.87476

64.16277

163

20:19.3

61.53567

64.43507

50.76097

64.04841

164

20:23.3

61.42895

64.34727

50.70213

63.95713

165

20:27.3

61.26749

64.22182

50.57537

63.82502

166

20:31.3

61.14548

64.10889

50.45901

63.69544

167

20:35.3

61.0513

63.99241

50.48699

63.6236

168

20:39.3

60.92393

63.91805

50.49323

63.56107

169

20:43.3

60.84768

63.82126

50.45686

63.38573

170

20:47.3

60.69693

63.7137

50.34993

63.16438

171

20:51.3

60.57309

63.64825

50.26297

63.0481

172

20:55.3

60.41243

63.48688

50.19067

62.99364

173

20:59.3

60.3191

63.36586

50.16114

62.85623

174

21:03.3

60.14768

63.19732

50.09935

62.7017

175

21:07.3

59.98791

62.99738

49.93845

62.46564

176

21:11.3

59.86316

62.90774

49.87508

62.45298

177

21:15.3

59.73209

62.74902

49.73838

62.37214

178

21:19.3

59.61629

62.68179

49.73925

62.28636

179

21:23.3

59.53014

62.63876

49.77334

62.16423

180

21:27.3

59.43407

62.58228

49.69247

62.04443

181

21:31.3

59.3084

62.45765

49.57242

62.01044

182

21:35.3

59.19707

62.35812

49.47506

61.97824

183

21:39.3

59.08128

62.23349

49.40562

61.89257

184

21:43.3

58.96276

62.0981

49.37613

61.7558

185

21:47.3

58.87746

61.97792

49.28562

61.64188

186

21:51.3

58.74815

61.86134

49.17593

61.53046

187

21:55.3

58.60531

61.72496

49.10688

61.40772

188

21:59.3

58.47509

61.58862

49.0346

61.28775

189

22:03.3

58.34036

61.46842

49.00403

61.15917

190

22:07.3

58.26582

61.39757

48.95796

61.10052

191

22:11.3

58.09514

61.27646

48.79323

61.0034

192

22:15.3

57.96127

61.17506

48.72596

60.86018

193

22:19.3

57.79234

61.02342

48.68483

60.72459

194

22:23.3

57.66296

60.92562

48.61511

60.5687

195

22:27.3

57.55245

60.84668

48.51496

60.4495

196

22:31.3

57.45903

60.66456

48.4698

60.40705

197

22:35.3

57.38085

60.55508

48.45672

60.35336

198

22:39.3

57.28292

60.46896

48.41584

60.16589

199

22:43.3

57.18498

60.41513

48.32524

60.0517

200

22:47.3

57.11222

60.29669

48.26611

59.82413

201

22:51.3

57.02775

60.20606

48.25923

59.75766

202

22:55.3

56.89022

60.11542

48.22076

59.76269

203

22:59.3

56.73468

59.98883

48.12811

59.68486

204

23:03.3

56.64751

59.8973

48.07324

59.64313

205

23:07.3

56.51984

59.76354

47.96669

59.52012

206

23:11.3

56.37957

59.63425

47.85132

59.38335

207

23:15.3

56.26538

59.53101

47.79196

59.28173

208

23:19.3

56.17097

59.40084

47.70291

59.16129

209

23:23.3

56.04599

59.28952

47.61375

59.02877

210

23:27.3

55.93808

59.18357

47.53428

58.95358

211

23:31.3

55.85447

59.11176

47.4707

58.90845

212

23:35.3

55.74385

59.02647

47.37635

58.78109

213

23:39.3

55.67461

58.94656

47.28731

58.69483

214

23:43.3

55.58559

58.85139

47.33109

58.53673

215

23:47.3

55.46957

58.74724

47.29535

58.4872

216

23:51.3

55.38413

58.68978

47.26399

58.44196

217

23:55.3

55.26539

58.55865

47.16436

58.30936

218

23:59.3

55.12864

58.45356

47.10746

58.19974

219

24:03.3

55.05757

58.36735

47.06821

58.11082

220

24:07.3

54.9586

58.25147

46.98507

57.98832

221

24:11.3

54.83443

58.16975

46.86186

57.93275

222

24:15.3

54.67871

57.97566

46.7198

57.7834

223

24:19.3

54.61032

57.87954

46.72417

57.66006

224

24:23.3

54.50413

57.787

46.71106

57.50669

225

24:27.3

54.39974

57.64325

46.62969

57.415

226

24:31.3

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465

40:27.3

38.45024

41.20395

36.21837

41.47063

466

40:31.3

38.41561

41.12762

36.15395

41.46081

467

40:35.3

38.39924

41.12126

36.17102

41.49097

468

40:39.3

38.35004

41.07127

36.17093

41.46435

469

40:43.3

38.22973

40.95852

36.07315

41.37204

470

40:47.3

38.24799

40.96401

36.07076

41.3511

471

40:51.3

38.14045

40.86126

35.94535

41.22172

472

40:55.3

38.10036

40.81945

35.91139

41.21199

473

40:59.3

38.04112

40.75764

35.89431

41.2004

474

41:03.3

38.01926

40.73675

35.89888

41.13328

475

41:07.3

37.94815

40.6658

35.81278

41.04011

476

41:11.3

37.90716

40.62308

35.79678

40.97209

477

41:15.3

37.87161

40.58126

35.70995

40.95341

478

41:19.3

37.87531

40.58495

35.71749

41.01042

479

41:23.3

37.80967

40.53038

35.69772

40.94838

480

41:27.3

37.80241

40.53496

35.6988

40.8946

481

41:31.3

37.78331

40.53772

35.73656

40.86028

482

41:35.3

37.7423

40.49044

35.73835

40.88417

483

41:39.3

37.70584

40.43498

35.71599

40.83726

484

41:43.3

37.65936

40.39589

35.70527

40.75938

485

41:47.3

37.59097

40.32038

35.61026

40.69102

486

41:51.3

37.55724

40.26128

35.54945

40.69545

487

41:55.3

37.508

40.21488

35.52162

40.64135

488

41:59.3

37.44053

40.1794

35.51616

40.58194

489

42:03.3

37.38214

40.10662

35.47034

40.5233

490

42:07.3

37.34935

40.06571

35.45443

40.53235

491

42:11.3

37.30557

40.00931

35.33981

40.47911

492

42:15.3

37.29556

39.99477

35.32737

40.44289

493

42:19.3

37.28281

39.98114

35.34

40.41731

494

42:23.3

37.23906

39.96114

35.35531

40.37311

495

42:27.3

37.20168

39.91203

35.34635

40.24553

496

42:31.3

37.18345

39.90294

35.34019

40.23677

497

42:35.3

37.15794

39.86566

35.30896

40.25547

498

42:39.3

37.11873

39.82564

35.29822

40.22624

499

42:43.3

37.06126

39.76739

35.25158

40.16942

500

42:47.3

37.02933

39.67733

35.2131

40.07459

501

42:51.3

36.9819

39.60817

35.17719

40.01156

502

42:55.3

36.92353

39.56449

35.15124

39.95571

503

42:59.3

36.87607

39.50986

35.09375

39.92892

504

43:03.3

36.81403

39.46344

35.0462

39.93326

505

43:07.3

36.77754

39.43795

35.03456

39.88361

506

43:11.3

36.6945

39.33965

34.96184

39.78764

507

43:15.3

36.64705

39.28138

34.94024

39.72902

508

43:19.3

36.60143

39.25225

34.91517

39.72015

509

43:23.3

36.58503

39.21495

34.90183

39.68743

510

43:27.3

36.61335

39.215

34.93704

39.66996

511

43:31.3

36.57502

39.17404

34.8833

39.62117

512

43:35.3

36.5431

39.13762

34.78387

39.53067

513

43:39.3

36.51025

39.11123

34.78476

39.53156

514

43:43.3

36.4984

39.09941

34.80367

39.55916

515

43:47.3

36.45095

39.08393

34.79024

39.52633

516

43:51.3

36.42175

39.05298

34.76962

39.42338

517

43:55.3

36.35785

38.98832

34.65833

39.36284

518

43:59.3

36.34053

38.97104

34.64678

39.38513

519

44:03.3

36.28757

38.89272

34.63145

39.32112

520

44:07.3

36.25655

38.86632

34.59919

39.28117

521

44:11.3

36.16617

38.78526

34.58466

39.18509

522

44:15.3

36.12416

38.74063

34.55589

39.13528

523

44:19.3

36.08401

38.70329

34.49941

39.15659

524

44:23.3

36.06029

38.66779

34.4762

39.11228

525

44:27.3

36.02925

38.61862

34.47261

39.03767

526

44:31.3

36.02472

38.61682

34.46205

38.9819

527

44:35.3

35.99734

38.57859

34.46393

38.99088

528

44:39.3

35.96083

38.54397

34.42359

38.99887

529

44:43.3

35.93071

38.52394

34.41014

38.97223

530

44:47.3

35.90514

38.48113

34.36351

38.90293

531

44:51.3

35.90518

38.49847

34.34219

38.89956

532

44:55.3

35.84855

38.41829

34.27923

38.83363

533

44:59.3

35.79832

38.36272

34.26846

38.78653

534

45:03.3

35.75085

38.33449

34.2586

38.76342

535

45:07.3

35.70701

38.27161

34.22083

38.694

536

45:11.3

35.62936

38.21785

34.17041

38.63871

537

45:15.3

35.60563

38.17504

34.15257

38.61569

538

45:19.3

35.53712

38.09848

34.05907

38.53283

539

45:23.3

35.52435

38.07936

34.03674

38.53113

540

45:27.3

35.52801

38.05204

34.04222

38.54101

541

45:31.3

35.52254

38.02928

34.02975

38.48331

542

45:35.3

35.46684

37.99646

33.99655

38.42017

543

45:39.3

35.48056

37.97828

33.97969

38.43548

544

45:43.3

35.46141

37.95643

34.02116

38.44812

545

45:47.3

35.40021

37.88079

33.97081

38.4089

546

45:51.3

35.39109

37.85164

33.96373

38.41344

547

45:55.3

35.3582

37.79057

33.95915

38.33418

548

45:59.3

35.31068

37.76959

33.93303

38.26204

549

46:03.3

35.23483

37.724

33.88437

38.17466

550

46:07.3

35.18732

37.69572

33.82772

38.17457

551

46:11.3

35.13889

37.65744

33.7981

38.15144

552

46:15.3

35.11057

37.57632

33.77656

38.13542

553

46:19.3

35.0594

37.52161

33.70733

38.05346

554

46:23.3

35.02924

37.50336

33.66953

37.99462

555

46:27.3

34.9927

37.48331

33.66503

37.99462

556

46:31.3

34.95888

37.4432

33.66683

37.951

557

46:35.3

34.92051

37.39579

33.60308

37.88869

558

46:39.3

34.93884

37.43049

33.63039

37.9496

559

46:43.3

34.91325

37.39585

33.64477

37.91756

560

46:47.3

34.88584

37.35573

33.64297

37.81427

561

46:51.3

34.88221

37.34118

33.65483

37.85632

562

46:55.3

34.8237

37.25362

33.6268

37.80894

563

46:59.3

34.77707

37.22625

33.55037

37.76342

564

47:03.3

34.74326

37.21348

33.52163

37.7011

565

47:07.3

34.68567

37.17335

33.50267

37.64488

566

47:11.3

34.65094

37.11042

33.42802

37.6145

567

47:15.3

34.58601

37.05842

33.3821

37.59036

568

47:19.3

34.56042

37.0265

33.37492

37.55473

569

47:23.3

34.54306

37.01282

33.35695

37.52533

570

47:27.3

34.52021

36.99094

33.32191

37.49326

571

47:31.3

34.48273

36.96358

33.31292

37.45761

572

47:35.3

34.45074

36.93257

33.2527

37.36583

573

47:39.3

34.41691

36.88148

33.25451

37.29453

574

47:43.3

34.42974

36.86328

33.2503

37.29302

575

47:47.3

34.41331

36.84049

33.27825

37.3154

576

47:51.3

34.37217

36.84141

33.26477

37.26638

577

47:55.3

34.31731

36.80309

33.20276

37.1701

578

47:59.3

34.29078

36.72098

33.18199

37.16911

579

48:03.3

34.23042

36.65436

33.1054

37.14574

580

48:07.3

34.22676

36.66258

33.11628

37.1708

581

48:11.3

34.18105

36.6416

33.07222

37.16189

582

48:15.3

34.13804

36.59413

33.03788

37.09304

583

48:19.3

34.10876

36.55671

33.03598

37.0118

584

48:23.3

34.07951

36.53665

33.03518

37.01813

585

48:27.3

33.99259

36.43897

32.94939

36.9366

586

48:31.3

33.99443

36.45541

32.93788

36.92787

587

48:35.3

33.97066

36.42257

32.92888

36.87078

588

48:39.3

33.98349

36.41712

32.94256

36.82367

589

48:43.3

33.93227

36.37971

32.95695

36.80761

590

48:47.3

33.90759

36.35689

32.91558

36.821

591

48:51.3

33.89569

36.32861

32.8904

36.80583

592

48:55.3

33.89389

36.33046

32.92297

36.82921

593

48:59.3

33.87197

36.31862

32.90966

36.8294

594

49:03.3

33.85273

36.25562

32.8663

36.7614

595

49:07.3

33.80516

36.24102

32.85192

36.70697

596

49:11.3

33.76948

36.1826

32.82483

36.65512

597

49:15.3

33.71092

36.13694

32.75367

36.61932

598

49:19.3

33.70086

36.12782

32.72488

36.55506

599

49:23.3

33.65512

36.08036

32.73568

36.57022

600

49:27.3

33.59838

36.03561

32.7041

36.53175

601

49:31.3

33.56177

35.98996

32.67072

36.50041

602

49:35.3

33.53248

35.93791

32.62743

36.45032

603

49:39.3

33.54076

35.92608

32.64661

36.46756

604

49:43.3

33.52611

35.89322

32.62231

36.38988

605

49:47.3

33.48311

35.87588

32.60702

36.33184

606

49:51.3

33.52617

35.91428

32.65868

36.36972

607

49:55.3

33.48957

35.87136

32.61189

36.34829

608

49:59.3

33.45389

35.81842

32.56239

36.32239

609

50:03.3

33.43102

35.78554

32.5543

36.28934

610

50:07.3

33.37974

35.72799

32.528

36.257

611

50:11.3

33.37334

35.73349

32.5317

36.26246

612

50:15.3

33.3175

35.69328

32.4712

36.2042

613

50:19.3

33.27539

35.654

32.44861

36.17463

614

50:23.3

33.23421

35.60196

32.4108

36.14962

615

50:27.3

33.21041

35.56635

32.38559

36.09243

616

50:31.3

33.14998

35.50695

32.31968

35.98055

617

50:35.3

33.11519

35.48229

32.31158

35.95463

618

50:39.3

33.1143

35.4814

32.33148

35.96276

619

50:43.3

33.05019

35.40009

32.25925

35.94739

620

50:47.3

33.08411

35.40834

32.27575

35.95034

621

50:51.3

33.06581

35.39648

32.27313

35.93256

622

50:55.3

33.06675

35.38007

32.29854

35.94437

623

50:59.3

33.02739

35.3545

32.26522

35.89878

624

51:03.3

33.01549

35.3207

32.25891

35.87197

625

51:07.3

32.97703

35.28963

32.20839

35.81108

626

51:11.3

32.96606

35.2732

32.17696

35.80045

627

51:15.3

32.90929

35.23482

32.12823

35.69306

628

51:19.3

32.85617

35.17268

32.09742

35.65084

629

51:23.3

32.84243

35.14526

32.10371

35.66336

630

51:27.3

32.76731

35.06209

32.03046

35.62015

631

51:31.3

32.75541

35.05387

32.03596

35.56927

632

51:35.3

32.71511

35.01456

31.98803

35.49215

633

51:39.3

32.69405

34.9771

31.93937

35.44295

634

51:43.3

32.70505

35.00546

31.93775

35.42435

635

51:47.3

32.66567

34.95336

31.88809

35.37504

636

51:51.3

32.69135

34.98447

31.93613

35.43258

637

51:55.3

32.65289

34.96162

31.93163

35.4299

638

51:59.3

32.65292

34.94793

31.92911

35.43724

639

52:03.3

32.6007

34.88578

31.91811

35.412

640

52:07.3

32.61171

34.87667

31.94263

35.43008

641

52:11.3

32.59064

34.87027

31.9201

35.40771

642

52:15.3

32.52652

34.80263

31.8379

35.29388

643

52:19.3

32.49813

34.77978

31.82168

35.25181

644

52:23.3

32.48623

34.76424

31.80725

35.25629

645

52:27.3

32.42299

34.69293

31.75479

35.19614

646

52:31.3

32.39001

34.65909

31.73486

35.11906

647

52:35.3

32.36896

34.63717

31.70971

35.10931

648

52:39.3

32.35339

34.62254

31.71152

35.13706

649

52:43.3

32.33966

34.6116

31.7098

35.14341

650

52:47.3

32.33326

34.60522

31.67654

35.13098

651

52:51.3

32.31495

34.5778

31.64769

35.11487

652

52:55.3

32.26914

34.5458

31.64498

35.07457

653

52:59.3

32.31316

34.58607

31.67692

35.04093

654

53:03.3

32.23892

34.49919

31.59728

34.94751

655

53:07.3

32.25088

34.51295

31.612

34.94062

656

53:11.3

32.23254

34.45991

31.59657

34.85992

657

53:15.3

32.20414

34.44529

31.59296

34.88411

658

53:19.3

32.13724

34.38676

31.57113

34.84361

659

53:23.3

32.10241

34.32457

31.53767

34.83276

660

53:27.3

32.06301

34.29623

31.52594

34.83724

661

53:31.3

32.03828

34.27885

31.49618

34.82918

662

53:35.3

31.9961

34.23859

31.43647

34.77703

663

53:39.3

31.95211

34.19652

31.41472

34.74021

664

53:43.3

31.9301

34.14348

31.37854

34.66575

665

53:47.3

31.89528

34.12611

31.3587

34.64334

666

53:51.3

31.92096

34.11789

31.36971

34.66055

667

53:55.3

31.9384

34.12067

31.40057

34.68224

668

53:59.3

31.9045

34.10512

31.40327

34.62131

669

54:03.3

31.89444

34.10422

31.35375

34.61602

670

54:07.3

31.85868

34.06122

31.34012

34.55678

671

54:11.3

31.85503

34.06399

31.34382

34.49682

672

54:15.3

31.84221

34.04571

31.32587

34.46195

673

54:19.3

31.76519

33.97525

31.27055

34.41863

674

54:23.3

31.7652

33.97892

31.29321

34.4017

675

54:27.3

31.72028

33.93684

31.27596

34.41415

DAQ Stop

LOG

Stop

cooling/mechanical 1cooling/mechanical 2cooling/mechanical 3cooling/mechanical 4cooling/mechanical 5cooling/mechanical 6cooling/mechanical 7

cooling/mechanical 8

cooling/mechanical 9

cooling/mechanical 10

cooling/mechanical 11

cooling/mechanical 12

cooling/mechanical 13

cooling/mechanical 14

cooling/mechanical 15

Biot Numbers

Data Set

h (

Bi

Copper Sphere

291.121

0.00309

Stainless Steel Sphere

265.350

0.00282

Copper cube connected at the corner

783.299

0.00833

Copper cube connected at the center

275.168

0.00292

Copper Sphere

0.0596

6.347E-6

Stainless Steel Sphere

0.0557

5.926E-6

Copper cube connected at the corner

0.247

2.632E-6

Copper cube connected at the center

0.6406

6.813E-6

Discussion

1)

2)

3)

4)

Uncertainty

The thermocouples used in this experiment are of Copper-Constantan composition (Type T). According to Measurement Computing USB -Temp and TC Series user’s manual, the Type T thermocouple has a temperature range of -200 to 400 degrees Celsius. At -200 degrees, the maximum error is 2.082 degrees, while the average error is 0.744 degrees. At 0 degrees, the maximum error is 0.870, while the average is 0.290 degrees. At the maximum temperature of 400 degrees, the maximum is 0.568 degrees and the average is 0.208 degrees. The amount of digital bits (maximum resolution) of the USB measuring device is 24.