An object with a mass of $2 k g$ $2 kg$ is revolving around a point at a distance of $5 m$ $5 m$ . If the object is making revolutions at a frequency of $2 H z$ $2 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2018-07-03T05:47:00

The centripetal force is $= 1579.1 N$ $=1579.1N$

The centripetal force is

$F_{C} = m \frac{v^{2}}{r} = m r ω^{2}$ $F_C=mv^2/r=mromega^2$

The mass of the object is $m = 2 k g$ $m=2kg$

The radius is $r = 5 m$ $r=5m$

The frequency of the rotation is $f = 2 H z$ $f=2Hz$

The angular velocity is

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

Therefore, the centripetal force is

$F_{C} = m r ω^{2} = 2 \cdot 5 \cdot {(4 π)}^{2}$ $F_C=mromega^2=2*5*(4pi)^2$

$= 1579.1 N$ $=1579.1N$

An object with a mass of 2 kg2kg2 kg is revolving around a point at a distance of 5 m5m5 m. If the object is making revolutions at a frequency of 2 Hz2Hz2 Hz, what is the centripetal force acting on the object?