AP EAMCET202125 Aug 2021Evening ShiftPhysicsGravitationActual
Find the angular speed of rotation of the Earth, so that the apparent g at the equator becomes (1/6)th of its original value. (R=6.4 10^6 ~m )
Options
- A1.3 10⁻⁶ rad s ⁻¹
- B8.75 10⁻⁴ rad s ⁻¹
- C1.14 10⁻³ rad s ⁻¹
- D2.6 10^6 rad s ⁻¹
Correct answer
C. 1.14 10⁻³ rad s ⁻¹
Step-by-step solution
The apparent g^ due to rotation of earth is given by g^ =g₀- ^2 R array rlrl & g₀ 6 & =g₀- ^2 R ( g^ = 1 6 g ) 5 6 g₀ & = ^2 R & = 5 g₀ 6 R & = 5 9.8 6 6400000 ( g₀=9.8 ~ms ⁻² ) & =1.13498 10⁻³ rads ⁻¹ & & 1.14 10⁻³ rads ⁻¹ array