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photos by John Childs* 
Balancing
Energy Requirement 1st Case 

angle of tilt (radians) 
time 
angular velocity (radians/sec) 
h meters 
watts of energy
needed to return to balance 
Kilo calories per
hour 
0 
0 
0 
0 
0 
0 
0.02 
0.32 
.063 
0.00021 
0.1834 
2.0 
0.04  0.48 
0.12586 
0.00083 
0.7337 
5.3 
0.06  0.58 
0.18878 
0.00187 
1.6506 
9.7 
0.08  0.66 
0.25168 
0.00333 
2.9337 
15.2 
.1 
0.73 
0.31455 
0.00520 
4.5826 
21.7 
Balancing
Energy Requirement 2nd Case with overbalance velocity 

angle of tilt (radians) 
time 
angular velocity (radians/sec 
h meters 
watts of energy needed
to return to balance 
Kilo calories per
hour 
0 
0 
0.08 
0 
* 
* 
0.02 
0.2 
0.102 
0.00021 
3.95 
13.6 
0.04 
0.33 
0.15 
0.00083 
4.01 
13.8 
0.06 
0.43 
0.205 
0.00187 
5.24 
18.0 
0.08 
0.5 
0.264 
0.00333 
7.00 
24.1 
0.1 
0.57 
0.325 
0.00520 
9.15 
31.5 
racing bike wheel set 
mountain bike wheel set 
36" wheel 
24" wheel 

angular momentum at 4 mph in kg * m^{2}/sec 
2.8 
5.2 
1.9 
0.9 
KE at 4 mph in joules 
6 
11.5 
7.35 
5.1 
angular momentum at 15 mph in kg * m^{2}/sec 
4.3 
8 
7 
3.3 
KE at 15 mph in joules 
42 
81 
52 
36 