Question

Calculat the acceleration of a person at latitude
40degreesowing to the rotation of the earth.

Answer 1

acceleration of person = 9.77 m/s²

Step-by-step 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 ×
`10^(-5)` rad/s and R is earth radius that is 6.37 ×
`10^(6)` m

so

put here value in equation 1 we get

acceleration of person = g - ω²R

acceleration of person = 9.81 - (7.27 ×
`10^(-5)`)² × 6.37 ×
`10^(6)`

acceleration of person = 9.77 m/s²