An object with a mass of $7 k g$ $7 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . 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 · 2017-04-27T12:01:01

The centripetal force is $= 54164.4 N$ $=54164.4N$

The centripetal force is

$F = m r ω^{2}$ $F=mromega^2$

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

The radius is $r = 4 m$ $r=4m$

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

So,

The centripetal force is $F = 7 \cdot 4 \cdot {(14 π)}^{2} N$ $F=7*4*(14pi)^2N$

$= 54164.4 N$ $=54164.4N$

An object with a mass of 7kg7 kg is revolving around a point at a distance of 4m4 m. If the object is making revolutions at a frequency of 7Hz7 Hz, what is the centripetal force acting on the object?