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Charles Coin

K1

2.508

 

4.00

Distance to top of hill

K2

0.1916

 

 

g

9.8

 

 

Mass incl. bike

83

 

 

 

 

Time

 

 

Segment No.

Distance km

Ht m

Slope %

Comments

Rolling avge

Segment length m

Mins

Secs

Speed kph

Speed m/sec

H/wind kph

Acc'n

Watts

Cumulative m

s

Segment time in hours

Cumulative

Cumulative time in seconds

Ht Ft

1

0

0.0

Lamp post at botanical gardens

 

 

0

1735656

2

0.5

42.7

8.5%

Intersection with side road on left

8.5%

0.5

2

27.5

12.2

3.4

0

0.0

264

2

28

0.041

0.04

147.5

140

38905

147.54

264

3

0.6

45.7

3.0%

Crest of hill

7.6%

0.1

0

14.3

25.2

7.0

0

0.0

266

2

42

0.004

0.04

161.8

150

43051

14.29

266

4

0.9

30.5

-5.1%

3.4%

0.3

0

17.5

61.8

17.2

0

0.0

265

2

59

0.005

0.05

179.3

100

47581

17.48

265

5

1.4

33.5

0.6%

2.4%

0.5

0

50.4

35.7

9.9

0

0.0

264

3

50

0.014

0.06

229.7

110

60532

50.42

264

6

1.68

27.4

-2.2%

Simpsons Rd intersection

1.6%

0.28

0

20.5

49.1

13.6

0

0.0

266

4

10

0.006

0.07

250.3

90

66559

20.53

266

7

2.05

54.9

7.4%

clearing

2.7%

0.37

1

35.8

13.9

3.9

0

0.0

266

5

46

0.027

0.10

346.1

180

92028

95.83

266

8

2.6

93.9

7.1%

clearing with sign

3.6%

0.55

2

17.5

14.4

4.0

0

0.0

265

8

4

0.038

0.13

483.6

308

128311

137.50

265

9

3.1

135.6

8.4%

Simpsons Falls 0.5 km

4.4%

0.5

2

24.0

12.5

3.5

0

0.0

265

10

28

0.040

0.17

627.6

445

166382

144.00

265

10

3.4

170.7

11.7%

5.0%

0.3

1

57.4

9.2

2.6

0

0.0

265

12

25

0.033

0.21

745.0

560

197692

117.39

265

11

3.6

182.9

6.1%

5.1%

0.2

0

44.3

16.3

4.5

0

0.0

265

13

9

0.012

0.22

789.3

600

208874

44.31

265

12

3.8

192.0

4.6%

5.1%

0.2

0

35.8

20.1

5.6

0

0.0

266

13

45

0.010

0.23

825.1

630

219481

35.82

266

13

3.9

204.2

12.2%

5.2%

0.1

0

40.4

8.9

2.5

0

0.0

267

14

26

0.011

0.24

865.5

670

231339

40.45

267

14

4

210.3

6.1%

Top by ABC

5.3%

0.1

0

22.2

16.3

4.5

0

0.0

265

14

48

0.006

0.25

887.7

690

234921

22.15

265

15

4.1

204.2

-6.1%

5.0%

0.1

0

5.5

66.0

18.3

0

0.0

269

14

53

0.002

0.25

893.2

670

240558

5.45

269

16

4.3

195.1

-4.6%

Brush Box reserve

4.5%

0.2

0

12.1

59.7

16.6

0

0.0

266

15

5

0.003

0.25

905.2

640

240746

12.06

266

17

4.55

198.1

1.2%

4.4%

0.25

0

27.3

33.0

9.2

0

0.0

266

15

32

0.008

0.26

932.5

650

248322

27.27

266

18

4.7

192.0

-4.1%

Grey gum reserve

4.1%

0.15

0

9.4

57.5

16.0

0

0.0

265

15

42

0.003

0.26

941.9

630

249381

9.39

265

19

4.8

190.5

-1.5%

4.0%

0.1

0

7.8

46.0

12.8

0

0.0

265

15

50

0.002

0.26

949.7

625

251645

7.83

265

20

5

189.0

-0.8%

3.8%

0.2

0

17.0

42.4

11.8

0

0.0

266

16

7

0.005

0.27

966.7

620

256844

16.98

266

21

5.2

192.0

1.5%

Channel 10

3.7%

0.2

0

22.9

31.5

8.8

0

0.0

265

16

30

0.006

0.27

989.5

630

261759

22.86

265

22

5.7

167.6

-4.9%

2.9%

0.5

0

29.6

60.9

16.9

0

0.0

263

16

59

0.008

0.28

1019.1

550

268358

29.56

263

23

6.35

195.1

4.2%

3.1%

0.65

1

51.4

21.0

5.8

0

0.0

264

18

51

0.031

0.31

1130.5

640

297933

111.43

264

24

6.5

189.0

-4.1%

2.9%

0.15

0

9.4

57.5

16.0

0

0.0

265

18

60

0.003

0.32

1139.9

620

301816

9.39

265

25

6.6

198.1

9.1%

3.0%

0.1

0

31.0

11.6

3.2

0

0.0

267

19

31

0.009

0.33

1171.0

650

312491

31.03

267

26

7.1

167.6

-6.1%

2.4%

0.5

0

27.3

66.0

18.3

0

0.0

269

19

58

0.008

0.33

1198.2

550

322725

27.27

269

27

7.4

167.6

0.0%

2.3%

0.3

0

27.9

38.7

10.8

0

0.0

265

20

26

0.008

0.34

1226.1

550

324908

27.91

265

28

7.7

155.4

-4.1%

Intersection to Kiosk

2.0%

0.3

0

18.8

57.5

16.0

0

0.0

265

20

45

0.005

0.35

1244.9

510

329616

18.78

265

29

8.1

143.3

-3.0%

1.8%

0.4

0

27.2

53.0

14.7

0

0.0

264

21

12

0.008

0.35

1272.1

470

335758

27.17

264

30

8.6

106.7

-7.3%

Intersection from Kiosk

1.2%

0.5

0

25.5

70.6

19.6

0

0.0

265

21

38

0.007

0.36

1297.6

350

344489

25.50

265

31

8.75

109.7

2.0%

1.3%

0.15

0

18.5

29.2

8.1

0

0.0

264

21

56

0.005

0.37

1316.1

360

347132

18.49

264

32

9.1

85.3

-7.0%

Side road left

0.9%

0.35

0

18.2

69.3

19.3

0

0.0

266

22

14

0.005

0.37

1334.3

280

355280

18.18

266

33

9.9

45.7

-5.0%

End of side road

0.5%

0.8

0

47.0

61.3

17.0

0

0.0

266

23

1

0.013

0.38

1381.2

150

367753

46.98

266

34

10.4

0.0

-9.1%

0.0%

0.5

0

23.3

77.2

21.4

0

0.0

264

23

25

0.006

0.39

1404.6

0

370299

23.32

264

35

 

 

36

 

 

37

 

 

38

 

 

39

 

 

40

 

 

41

 

 

42

 

 

43

 

 

44

 

 

45

 

 

46

 

 

47

 

 

48

 

 

49

 

 

50

 

 

51

 

 

52

 

 

53

 

 

54

 

 

55

 

 

56

 

 

57

 

 

58

 

 

59

 

 

60

 

 

61

 

 

62

 

 

63

 

 

64

 

 

Source of Equation

Whitt, F.R. & Wilson, D.G., "Bicycling Science". MIT Press, 1982

Author of Spreadsheet

Dr Charles Coin, Director of Biketech, biketech@powerup.com.au; Tel 07 3278 1391; Fax 07 32781392; P.O. Box 144 Sherwood 4075, Qld

Notes on Equation

K1 & K2 are constants which vary according to the type of bicycle -

K1

K2

7.845

0.3872

Roadster bike which is heavy with upright handlebars

3.509

0.2581

Sports bicycle of medium weight with dropped handlebars

2.508

0.1916

Racing bicycle, lightweight with dropped handlebars

There is an acceleration factor in the equation which is not utilised in the big sheet and hence it is assumed that acceleration that is not gravitational is of minimal effect.

Notes on Working Sheet

This is a rudimentary sheet which I use the last column to put in the data on the persons best 40 km TT time and thence work out their steady state power.

Notes on Mt Cootha Sheet

To use this optimally, alter the individual speeds [pink column] for each increment until a selected wattage [green column] is achieved.

Note that the weight considered must of the bicycle plus the rider.

The heights were measured using a barometer which was calibrated in feet with the increments to the nearest 10 ft.

The distances were measured using the odometer of the Audi A4 and were estimated to the the nearest 0.05 km. Smaller increments were to exactly 0.1 km

Uses of the Spreadsheet

To set up suitable schedules for road TT courses. The course will need to be surveyed into segments and slope of each segment by using an altimeter [or barometer].

To run experiments of variable power output and its consequences, i.e. we usually work harder uphill and ease up or coast downhill. This way the efect of each strategy and the total work done can be seen. Try and keep the the total work constant and vary the power input for each increment for the best time.

To do "what if" cases of reducing weight, increasing power etc.

Comparing two riders over the same course will show that each may have the advantage at various stages during the course.

K1

2.508

K2

0.1916

g

9.8

Mass kg

71

TT

Distance

0.4

1

0.92

0.3

0.2

0.1

0.5

0.28

0.3

4

40

Time mins

0

0

3

0

0

0

0

0

0

7

66

Time secs

21.15

47

30

59

32.5

12.5

48.5

19.6

16.8

47.05

0

Velocity kph

68.1

76.6

15.8

18.3

22.2

28.8

37.1

51.4

64.3

30.83

36.36

Velocity Cv m/sec

18.91

21.28

4.38

5.08

6.15

8.00

10.31

14.29

17.86

8.56

10.10

Headwind Cw m/sec

0

0

0

0

0

0

0

0

0

0

0

Mass kg

71

71

71

71

71

71

71

71

71

#

71

#

71

Slope s %

-8.5

-9

8

6.6

5

3

1

-2.3

-5.5

8.5

0

Acceleration

0

0

0

0

0

0

0

0

0

0

0

Watts

166

496

284

284

286

294

311

354

416

0

675

0

223

work

58

388

994

279

155

61

252

116

117

0

2419

0

14705

311

Time total

0.35

0.78

3.50

0.98

0.54

0.21

0.81

0.33

0.28

 

7.78

 

66

 

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This site was up-dated on - Friday, 22 July 2005 10:02:15 PM