I was studying about circular motion and found a topic that is apparent weight and found an equation of apparent value of g.
But I can't understand why this is written
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1$\begingroup$ see the diagram-the body is rotating with our earth and the rotational motion leads to a centrifugal force in earth's frame of reference, therefore the body will experience two forces-one due to g and another due to w^2r and the resultant of two forces is effective wt. $\endgroup$– drvrmCommented Aug 29, 2018 at 18:25
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$\begingroup$ do you mean to say that the calue of resultant is less than its constituent vectors. Why?? $\endgroup$– Naman VyasCommented Aug 29, 2018 at 19:25
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$\begingroup$ Related and all you need to do is use the cosine rule to get a relationship between the three sides of the vector triangle. physics.stackexchange.com/q/328618/104696 $\endgroup$– FarcherCommented Aug 29, 2018 at 22:35
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1 Answer
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Check the force diagram at the equator from the inertial coordinate system:
$mg-N= m\omega^2R$.
So $mg>m\omega^2R$ or $g>\omega^2R$.
Obviously $2g>\omega^2R$.
This is a necessity to keep us from flying off the earth.
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$\begingroup$ You are right but will there be further more explanation. $\endgroup$ Commented Sep 1, 2018 at 3:54
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$\begingroup$ The first equation is the second law for a body in circular motion with angular velocity $\omega$. The other two equations are just some arithmetic. The final statement provides the physical basis. Could you say which part requires additional explanation? $\endgroup$– npojoCommented Sep 1, 2018 at 6:35