Question

A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the drawing. As the station rotates, an astronaut in chamber A ismoved 2.80 102 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time?
m

Answer 1

for chamber A
radius is rA = 3.20*102m
ARC SA= 2.0*102m
so the angular displacement is ?? =SA/rA
= 2.0*102m / 3.20*102m
= 0.625 rad
for chamber B
radius rB =1.10*103m
so,for circular ARC
SB =??*rB
= 0.625*1.10*103m
= 687.5 m