An object with a mass of $5 k g$ $5 kg$ is revolving around a point at a distance of $8 m$ $8 m$ . If the object is making revolutions at a frequency of $4 H z$ $4 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2018-05-03T06:12:29

The centripetal force is $= 25266.2 N$ $=25266.2N$

The centripetal force is

$F = m r ω^{2}$ $F=mromega^2$

The mass of the object is

$m = 5 k g$ $m=5kg$

The radius of the circle is

$r = 8 m$ $r=8m$

The frequency of rotation is

$f = 4 H z$ $f=4Hz$

The angular velocity is

$ω = 2 π f = 2 \cdot π \cdot 4 = 8 π r a d s^{- 1}$ $omega=2pif=2*pi*4=8pirads^-1$

Therefore,

the centripetal force is

$F = 5 \cdot 8 \cdot {(8 π)}^{2} = 25266.2 N$ $F=5*8*(8pi)^2=25266.2N$

An object with a mass of 5kg5 kg is revolving around a point at a distance of 8m8 m. If the object is making revolutions at a frequency of 4Hz4 Hz, what is the centripetal force acting on the object?