Thursday, 27 June 2019

biophysics - What would be walking speed in low gravity?


In $1g$ the average adult human walks 4-5 km in an hour. How fast would such a human walk in a low gravity environment such as on the Moon $(0.17g)$ or Titan $(0.14g)$?


Let's ignore the effects of uneven terrain (regolith or ice/snow/sooth); suppose our human walks on hardened pavement.



Answer



This article suggests that the walking speed in lower $g$ environments is indeed less than on 1$g$ environments.


The issue at hand is the work done in raising ones leg in order to move forwards and the loss of energy due to the motion. Quoting the article,



During a walking step, in contrast [to the running step], the centre of mass of the body is lowered during the forward acceleration and raised during the forward deceleration. Therefore the kinetic energy loss can be transformed into a potential energy increase: $ΔE_p = MgS_v$, where $g$ is the acceleration of gravity and $S_v$ is the vertical displacement of the centre of mass within each step.




The potential energy must be equated to the kinetic energy, $$ \Delta E=\frac12M\left(v_2^2-v_1^2\right) $$ where $v_2$ is the maximal velocity of the body in the step and $v_1$ the minimal velocity of the step. If we equate the two changes in energy and assume some median velocity of the body during the step, then $$ v_{med}\sim\sqrt{2gS_v} $$ Since $g$ decreases on the lighter bodies, then $v_{med}$ would necessarily decrease as well.


No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...