What should be the angular speed of earth, so that body lyin... | PHYSICS - WEIGHTLESSNESS | SolveeIt | Solveeit

Today, August 19

Question

What should be the angular speed of earth, so that body lying on equator may appear weightlessness. [g = 10m/s², R = 6400 km]

A

$\frac{1}{800}rad/s$

B

$\frac{1}{400}rad/s$

C

$\frac{1}{600}rad/s$

D

$\frac{1}{100}rad/s$ .

Answer

$\frac{1}{800}rad/s$

Explanation

Solution

At equator due to rotation

g¢ = g – w²R

so if body feel weightlessness then

w¢ = mg¢ = 0 Ž g¢ = 0 so g – w²R = 0

w = $\sqrt{\frac{g}{R}}$ = $\frac{1}{800}$ rad/s