An object with a mass of $7 kg$ is revolving around a point at a distance of $8 m$ . If the object is making revolutions at a frequency of $12 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-05-30T20:48:26

$F_C=32256 pi^2$

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$m=7 " "kg$
$r=8" "m$

$f=12" "Hz$

$v=(2pir)/T" "v/r=(2pi)/T" "(1)$

$omega=(2pi)/T" "(2)$

$"using (1) and (2)"$

$v/r=omega" "v=omega r" "v^2=omega^2 r^2$

$F_C=m*v^2/r" centripetal force"$

$F_C=(m*omega^2*r^2)/r$

$F_C=m*omega^2*r$

$F_C=m*omega^2*r" "omega=2pi f" "omega=2 pi*12" "omega^2=4pi^2*144$

$omega^2=576pi^2$

$F_C=7*576pi^2*8$

$F_C=32256 pi^2$

An object with a mass of 7 kg7 kg is revolving around a point at a distance of 8 m8 m. If the object is making revolutions at a frequency of 12 Hz12 Hz, what is the centripetal force acting on the object?