Question

The speed of the earth's rotation about its axis is ω. It's speed is increased to X times to make the effective acceleration due to gravity equal to zero at the equator, the X is around (g= 10m/s^-2 ; R= 6400km).

Answer 1

Answer:

Earth rotates about its own axis in 24 hours. T=24×60×60 s. So angular speed of the earth about its own axis =

T

2π

=

24×60×60

2π

m/s

At equator g

1

=g−R

2

g

1

=g−R

e

w

12

or O=g−R

e

w

12

w

1

=

R

e

g

=

84.6×60

2π

∴

w

w

1

=

84.6×60

24×60×60

≈17

w

1

=17w