An object with a mass of $8 k g$ $8 kg$ is revolving around a point at a distance of $14 m$ $14 m$ . If the object is making revolutions at a frequency of $7 H z$ $7 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2017-12-04T16:46:09

The centripetal force is $= 216.7 k N$ $=216.7kN$

The mass of the object is $m = 8 k g$ $m=8kg$

The radius is $r = 14 m$ $r=14m$

The frequency is $f = 7 H z$ $f=7Hz$

The angular velocity is $ω = 2 \cdot π \cdot f = 2 \cdot π \cdot 7 = 14 π r a d s^{- 1}$ $omega =2*pi*f=2*pi*7=14pi rads^-1$

The centripetal force is

$F = m r ω^{2} = 8 \cdot 14 \cdot {(14 π)}^{2} = 216656.6 N$ $F=mromega^2=8*14*(14pi)^2=216656.6N$

An object with a mass of 8kg8 kg is revolving around a point at a distance of 14m14 m. If the object is making revolutions at a frequency of 7Hz7 Hz, what is the centripetal force acting on the object?