An object with a mass of $7 k g$ $7 kg$ is revolving around a point at a distance of $8 m$ $8 m$ . If the object is making revolutions at a frequency of $9 H z$ $9 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2017-09-09T05:21:39

The centripetal force is $= 179.074 k N$ $=179.074kN$

The centripetal force is $F = m r ω^{2}$ $F=mromega^2$

The mass is $m = 7 k g$ $m=7kg$

The radius is $r = 8 m$ $r=8m$

The frequency is $f = 9 H z$ $f=9Hz$

The angular velocity is $ω = 2 π f = 2 π \cdot 9 = (18 π) r a d s^{- 1}$ $omega=2pif=2pi*9=(18pi)rads^-1$

So,

The centripetal force is

$F = 7 \cdot 8 \cdot {(18 π)}^{2} = 179074 N = 179.074 k N$ $F=7*8*(18pi)^2=179074N=179.074kN$

An object with a mass of 7 kg7kg7 kg is revolving around a point at a distance of 8 m8m8 m. If the object is making revolutions at a frequency of 9 Hz9Hz9 Hz, what is the centripetal force acting on the object?