An object with a mass of $4 k g$ $4 kg$ is revolving around a point at a distance of $2 m$ $2 m$ . If the object is making revolutions at a frequency of $8 H z$ $8 Hz$ , what is the centripetal force acting on the object?

Question

1888 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-12T18:56:54

The centripetal force is $= 20213 N$ $=20213N$

The centripetal force is

$F = m r ω^{2}$ $F=mromega^2$

The mass of the object is $m = 4 k g$ $m=4kg$

The radius of the circle is $r = 2 m$ $r=2m$

The frequency is $f = 8 H z$ $f=8Hz$

The angular velocity is $ω = 2 π f = 2 \cdot π \cdot 8 = 16 π r a d s^{- 1}$ $omega=2pif=2*pi*8=16pirads^-1$

The centripetal force is

$F = 4 \cdot 2 \cdot {(16 π)}^{2} = 20213 N$ $F=4*2*(16pi)^2=20213N$

An object with a mass of 4kg4 kg is revolving around a point at a distance of 2m2 m. If the object is making revolutions at a frequency of 8Hz8 Hz, what is the centripetal force acting on the object?