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 $4 H z$ $4 Hz$ , 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 $5 m$ $5 m$ . If the object is making revolutions at a frequency of $4 H z$ $4 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2016-01-17T02:38:31

Centripetal Force $\approx 6316.547 N$ $approx6316.547 N$ , directed towards the center.

Explanation:

Use the following formula for calculating the centripetal force applicable for circular motion

$∣ ∣ ∣ \to F ∣ ∣ ∣ = m r ω^{2}$ $| vecF|= m r omega ^2$
where $m$ $m$ is the mass of the object, $r$ $r$ is the radius of the circle of motion and $ω$ $omega$ is the angular velocity.
$ω = 2 π f$ $omega = 2 pi f$ , where $f$ $f$ is the frequency of rotation.

$\Rightarrow ∣ ∣ ∣ \to F ∣ ∣ ∣ = 4 π^{2} m r f^{2}$ $implies | vecF|=4 pi^2 m r f ^2$

Plugging in the given values
$∣ ∣ ∣ \to F ∣ ∣ ∣ = 4 π^{2} \times 2 \times 5 \times 4^{2}$ $| vecF|=4 pi^2 xx 2 xx5xx 4 ^2$
$∣ ∣ ∣ \to F ∣ ∣ ∣ \approx 6316.547 N$ $| vecF| approx6316.547 N$

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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 $4 H z$ $4 Hz$ , what is the centripetal force acting on the object?

1 Answer

Explanation:

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Science

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Humanities

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An object with a mass of 2kg2 kg is revolving around a point at a distance of 5m5 m. If the object is making revolutions at a frequency of 4Hz4 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 $5 m$ $5 m$ . If the object is making revolutions at a frequency of $4 H z$ $4 Hz$ , what is the centripetal force acting on the object?