Question

if earth were suddenly shrink to half of its present radius without change in mass,what is the effect on duration of days?

Answer 1

as

T² ∝ R³

(T1/T2)²=(R1/R2)³

T1=24

T2=T

R1=R

R2=R/2

so

(24/T)²=(R/R/2)³

(24/T)²=8

T=24/2√2

=12/1.414

=8.48 hours