An object with a mass of $6 kg$ is revolving around a point at a distance of $8 m$ . If the object is making revolutions at a frequency of $7 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-06-04T14:21:45

$F=9408pi^2" " N$

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$m=6" "kg" mass of object"$

$r=8" "m "radius$

$f:7" " Hz" frequency"$

$F=m*v^2/r$

$v=omega*r" ; "v^2=omega^2*r^2$

$F=m*omega^2*r^2/r$

$F=m*omega^2*r$

$omega=2*pi*f" "omega^2=4 pi^2*f^2$

$F=m*4*pi^2*f^2*r$

$F=6*4*pi^2*7^2*8$

$F=9408pi^2" " N$

An object with a mass of 6 kg6 kg is revolving around a point at a distance of 8 m8 m. If the object is making revolutions at a frequency of 7 Hz7 Hz, what is the centripetal force acting on the object?