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?

1 Answer
Jun 4, 2016

Answer:

#F=9408pi^2" " N#

Explanation:

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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#