Question
When you examine the calculated power outputs, how does the Lewis equation compare with the Johnson average and the Harman average power equations? With the
When you examine the calculated power outputs, how does the Lewis equation compare with the Johnson average and the Harman average power equations? With the Johnson and Harman peak power equations? The Sayers equation? If differences exist between the results for the various formulas, explain what may contribute to these differences.
Lewis Formula:
Average Power = (square root of 4.9) x body mass(kg) x (square root of jump distance(m)) x 9.81
Average Power = 2.2136 x 81.05 x 0.36 x 9.81
Average Power = 633.612 Watts
Sayers Formula:
PAPw (Watts) = 60.7 jump height(cm) + 45.3 body mass(kg) - 2055
PAPw = (60.7 x 36 + (45.3 x 81.05)) - 2055
PAPw = 2185.2 + 3671.565 - 2055
PAPw = 3801.765 Watts
Harman Formula:
Peak power (W) = 61.9 jump height (cm) + 36.0 body mass (kg) + 1,822
Average power (W) = 21.2 jump height (cm) + 23.0 body mass (kg) - 1,393
Peak power (W) = (61.9 x jump height (cm)) + (36 x body mass (kg)) + 1822
Peak power (W) = (61.9 x 36) + (36 x 81.05) + 1822
Peak power (W) = 2228.4 + 2917.8 + 1822
Peak power (W) = 6968.2 Watts
Average power (W) = (21.2 x jump height (cm)) + (23.0 x body mass (kg)) - 1393
Average power (W) = (21.2 x 36) + (23 x 81.05) - 1393
Average power (W) = 763.2 + 1864.15 - 1393
Average power (W) = 1234.35 Watts
Johnson & Bahamonde Formula:
Power-peak (W) = 78.6 VJ (cm) + 60.3 mass (kg) - 15.3 height (cm) - 1,308
Power-avg (W) = 43.8 VJ (cm) + 32.7 mass (kg) - 16.8 height (cm) + 431
Peak power (W) = (78.6 x VJ (cm)) + (60.3 x mass (kg)) - (15.3 x height (cm)) -1308
Peak power (W) = (78.6 x 36) + (60.3 x 81.05) - (15.3 x 176) - 1308
Peak power (W) = 2829.6 + 4887.315 - 2692.8 - 1308
Peak power (W) = 3716.115 Watts
Average power (W) = (43.8 x VJ (cm)) + (32.7 x mass (kg)) - (16.8 x height (cm)) + 431
Average power (W) = (43.8 x 36) + (32.7 x 81.05) - (16.8 x 176) + 431
Average power (W) = 1576.8 + 2650.3 - 2956.8 + 431
Average power (W) = 1701.3
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