Answer:
acceleration of person = 9.77 m/s²
Explanation:
given data
latitude = 40 degree
to find out
Calculate the acceleration of a person
solution
we know that here 40 degree = 0.698 rad
so
acceleration of person = g - ω²R ...............1
and 1 rotation complete in 24 hours = 360 degree
here g is 9.81
so we know Earth angular speed ω = 7.27 × [tex]10^{-5}[/tex] rad/s and R is earth radius that is 6.37 × [tex]10^{6}[/tex] m
so
put here value in equation 1 we get
acceleration of person = g - ω²R
acceleration of person = 9.81 - (7.27 × [tex]10^{-5}[/tex])² × 6.37 × [tex]10^{6}[/tex]
acceleration of person = 9.77 m/s²
