Question

Find acceleration due to gravity g at depth d = R/3 where R is radius of earth.. Need it Quickly.

Answer 1

Answer :

Radius of earth = R

We have to find acceleration due to gravity at a depth of R/3$.$

★ The acceleration due to gravity decreases both with the increase in height and increase in depth. So it is maximum at the surface of the earth and zero at the centre of the earth.

• Acceleration due to gravity decreases with the increase in latitude of the place.

Acceleration due to gravity at a depth d is given by : g' = g (1 - d/R)

➝ g' = g (1 - d/R)

➝ g' = g (1 - 1/3)

➝ g' = 2g/3

where g denotes acceleration due to gravity at surface of earth. (g = 10m/s²)

➝ g' = 2 × 10/3

➝ g' = 6.67 m/s²