An object with a mass of $5$ $5$ $k g$ $kg$ is revolving around a point at a distance of $3$ $3$ $m$ $m$ . If the object is making revolutions at a frequency of $13$ $13$ $H z$ $Hz$ , what is the centripetal force acting on the object?

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An object with a mass of $5$ $5$ $k g$ $kg$ is revolving around a point at a distance of $3$ $3$ $m$ $m$ . If the object is making revolutions at a frequency of $13$ $13$ $H z$ $Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-02-14T22:16:35

The centripetal force is given by $F = m ω^{2} r$ $F=momega^2r$ where $m$ $m$ is the mass $(k g)$ $(kg)$ , $ω$ $omega$ is the frequency $(r a d s^{- 1})$ $(rads^-1)$ and $r$ $r$ is the radius $(m)$ $(m)$ .

$F = m ω^{2} r = 5 \cdot {94.25}^{2} \cdot 3 = 133246$ $F=momega^2r=5*94.25^2*3=133246$ $N$ $N$

Explanation:

We need to convert the frequency: $15$ $15$ $H z = 30 π = 94.25$ $Hz=30pi=94.25$ rads^-1#.

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An object with a mass of $5$ $5$ $k g$ $kg$ is revolving around a point at a distance of $3$ $3$ $m$ $m$ . If the object is making revolutions at a frequency of $13$ $13$ $H z$ $Hz$ , what is the centripetal force acting on the object?

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An object with a mass of 555 kgkgkg is revolving around a point at a distance of 333 mmm. If the object is making revolutions at a frequency of 131313 HzHzHz, what is the centripetal force acting on the object?

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An object with a mass of $5$ $5$ $k g$ $kg$ is revolving around a point at a distance of $3$ $3$ $m$ $m$ . If the object is making revolutions at a frequency of $13$ $13$ $H z$ $Hz$ , what is the centripetal force acting on the object?