An object with a mass of $3 k g$ $3 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $6 H z$ $6 Hz$ , what is the centripetal force acting on the object?

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An object with a mass of $3 k g$ $3 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $6 H z$ $6 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-01-04T05:03:10

Centrifugal force = 17054.67 N

Explanation:

Given:
mass m = 3 kg
radius r = 4 m
frequency f = 6 Hz

Centrifugal force is given by
$F = \frac{m v^{2}}{r} = m r ω^{2}$ $F=(mv^2)/r=mromega^2$
$ω = 2 π f$ $omega=2pif$
$ω = 2 π \cdot 6$ $omega=2pi*6$ rad/s
Thus,
$F = m r ω^{2} = 3 \cdot 4 \cdot {(12 π)}^{2}$ $F=mromega^2=3*4*(12pi)^2$
$F = 17054.67 N$ $F=17054.67N$

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An object with a mass of $3 k g$ $3 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $6 H z$ $6 Hz$ , what is the centripetal force acting on the object?

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An object with a mass of 3 kg3kg3 kg is revolving around a point at a distance of 4 m4m4 m. If the object is making revolutions at a frequency of 6 Hz6Hz6 Hz, what is the centripetal force acting on the object?

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Explanation:

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An object with a mass of $3 k g$ $3 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $6 H z$ $6 Hz$ , what is the centripetal force acting on the object?