Question

nasa 20 g centrifuge is used for testing space equipment and the effect of acceleration on humans. the centrifuge consists of an arm of length 17.8m, rotating at constant speed and producing an acceleration equal to 20 times the acceleration of free fall. Calculate the angular speed required to produce centripetal acceleration of 20g.

Answer 1

Answer:

3.32 rad/s

Explanation:

Centripetal acceleration is:

a = v² / r

Angular velocity is:

ω = v / r

v = ωr

Substituting:

a = (ωr)² / r

a = ω² r

Given that a = 20 g and r = 17.8 m:

20 (9.8 m/s²) = ω² (17.8 m)

ω = 3.32 rad/s