If the four positions below were held constant and for a complete dive, which would result in the highest average angular velocity around the mediolateral axis of the body's centre of mass? Assume all other factors are the same (body mass, segment lengths and masses, dive height, etc)

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BlackTom AI · Accepted Answer

To determine which position would yield the highest average angular velocity about the mediolateral axis (pitch axis) for a dive, we need to consider how the body's moment of inertia about that axis changes with body configuration, assuming constant angular momentum is not guaranteed but the general principle is that a more compact shape lowers the moment of inertia and allows a given angular momentum to produce a higher angular velocity.

Option A: A appears to be a tightly tucked position, with the body drawn into a compact ball shape. In such a tuck, the mass is concentrated near the axis of rotation (mediolateral axis through the center of mass), reducing the moment of inertia. With a smaller moment of inertia, for a given angular momentum or effort, the angular velocity around the mediolateral axis tends to be greater. This configuration is commonly used in dives to maximize spin speed.

Option B: B looks to be a fully extended body with limbs stretched away from the axis, increasing the distribution of mass farther from the mediolateral axis. This increases the moment of inertia about that axis, which would decrease the angular velocity for the same rotational impulse or angular momentum, assuming other factors equal.

Option C: C shows another tucked position, but the exact limb configuration and the axis involved matter. If C resembles a mid-tuck with some limbs partially extended, the moment of inertia would be intermediate between A and B. Without precise measurements, we can infer it would not exceed A’s compactness and would generally yield a lower angular velocity than the fullest tuck.

Option D: D depicts a layout with the body more extended or inverted, potentially placing limbs farther from the mediolateral axis. This would typically increase the moment of inertia around that axis, reducing angular velocity relative to a tighter tuck.

Option E: Not enough information to answer. In principle, the relative angular velocity depends on the exact distribution of mass relative to the mediolateral axis for each position. If the images do not clearly define distances of all limbs from the axis, one could argue that there is insufficient data to compute a precise comparison. However, qualitative reasoning about tuck vs. extension often provides a usable ranking.

In summary, the core idea is that a more compact, tucked configuration concentrates mass closer to the rotation axis, lowering the moment of inertia and enabling a higher angular velocity for the same rotational momentum or effort. Conversely, extended positions spread mass away from the axis, increasing the moment of inertia and typically lowering angular velocity. The nuanced evaluation across A, B, C, and D hinges on how close the limbs are to the mediolateral axis in each pose; A represents the most compact arrangement in these visuals, with the smallest radius of gyration about that axis, which would generally favor the highest angular velocity.

Dashboard Quiz 3

If the four positions below were held constant and for a complete dive, which would result in the highest average angular velocity around the mediolateral axis of the body's centre of mass? Assume all other factors are the same (body mass, segment lengths and masses, dive height, etc)

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