Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

What should be the angular velocity of the Earth, so that bodies lying on equator may appear weightless? How many times this angular velocity is faster

than the present angular velocity?(Given; g = 9.8 m/s²; R = 6400 km)



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
W₀ = present angular velocity = 2π / 86400  rad/sec
w = new angular velocity
centripetal force on the objects at equator = m R w²
gravitational pull = G M m / R²  = m g

Apparent weight = m g'  =  m g - m R w²
              g' = 0  when    w² = g/R
           w = √(g/R)   
Substitute the values to get answer.

   Ratio = w/w₀  =  86400 √(g/R) / 2π

1 5 1
click on thanks button above pls; select best answer pls
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts