Question

the earth has a radius of 6.38×10^16 meter and turns around once on its axis in 24 hour.what is the radial acceleration of person at the earth equator​

Answer 1

337493603.8m/s²

Explanation:

Radius of the earth = 6.38 x 10¹⁶m

time = 24hr (86400s)

Unknown:

Centripetal acceleration = ?

Solution:

The centripetal acceleration is directed inward to keep the body from falling off the surface of the earth.

     centripetal acceleration  = $\frac{v^{2} }{r}$

  where v is the velocity and r is the radius

   also;

            v  = wr

  where w is the angular velocity

substituting in the equation for centripetal acceleration gives;

                 

          a = w²r

 also w = $\frac{2 x pi}{T}$

      therefore;

                 a = $\frac{4 \pi ^{2} r }{T^{2} }$

 a = $\frac{ 4 x 3.142^{2} x 6.38 x 10^{16} }{86400^{2} }$

 a = 337493603.8m/s²

learn more:

Acceleration brainly.com/question/3820012

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