An object with a mass of $2 k g$ $2 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $5 H z$ $5 Hz$ , what is the centripetal force acting on the object?

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An object with a mass of $2 k g$ $2 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $5 H z$ $5 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-02-14T18:53:06

$F = 1600 \cdot π^{2} N$ $F=1600*pi^2N$

Explanation:

$you can use the Newton's second law$ $"you can use the Newton's second law"$
$F = m \cdot a$ $F=m*a$
$change linear acceleration to rotary acceleration$ $"change linear acceleration to rotary acceleration"$
$a = \frac{v^{2}}{r}; v = ω \cdot r; v^{2} = ω^{2} \cdot r^{2}$ $a=v^2/r ; v=omega*r ; v^2=omega^2*r^2$
$a = ω^{2} \cdot r$ $a=omega^2*r$
$F = m \cdot ω^{2} \cdot r$ $F=m*omega^2*r$
$F = m \cdot {(2 \cdot π \cdot f)}^{2} \cdot r$ $F=m*(2*pi*f)^2*r$
$F = 4 \cdot 4 \cdot π^{2} \cdot 25 \cdot 4$ $F=4*4*pi^2*25*4$
$F = 4^{3} \cdot 5^{2} \cdot π^{2}$ $F=4^3*5^2*pi^2$
$F = 64 \cdot 25 \cdot π^{2}$ $F=64*25*pi^2$
$F = 1600 \cdot π^{2} N$ $F=1600*pi^2N$

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An object with a mass of $2 k g$ $2 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $5 H z$ $5 Hz$ , what is the centripetal force acting on the object?

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Explanation:

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An object with a mass of 2kg2 kg is revolving around a point at a distance of 4m4 m. If the object is making revolutions at a frequency of 5Hz5 Hz, what is the centripetal force acting on the object?

1 Answer

Explanation:

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An object with a mass of $2 k g$ $2 kg$ is revolving around a point at a distance of $4 m$ $4 m$ . If the object is making revolutions at a frequency of $5 H z$ $5 Hz$ , what is the centripetal force acting on the object?