An object with a mass of $15 k g$ $15 kg$ is revolving around a point at a distance of $16 m$ $16 m$ . If the object is making revolutions at a frequency of $15 H z$ $15 Hz$ , what is the centripetal force acting on the object?

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An object with a mass of $15 k g$ $15 kg$ is revolving around a point at a distance of $16 m$ $16 m$ . If the object is making revolutions at a frequency of $15 H z$ $15 Hz$ , what is the centripetal force acting on the object?

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Answer 1 · 2017-01-29T01:22:17

I got:
$F_{c} = 1, 932, 407 N$ $F_c=1,932,407N$

Explanation:

We start remembering that centripetal force is:

$F_{c} = m \frac{v^{2}}{r}$ $F_c=mv^2/r$

To evaluate the velocity we use frequency and we consider that our object is making 15 revolutions in 1 second so we get that it takes:
$\frac{1}{15} = 0.07 s$ $1/15=0.07s$ to complete one revolution that represents a distance along a circle of $2 π r = 2 \cdot 3.14 \cdot 16 = 100.53 \approx 100.5 m$ $2pir=2*3.14*16=100.53~~100.5m$ .
Velocity will then be: $v = \frac{100.5}{0.07} = 1435.7 \frac{m}{s}$ $v=100.5/0.07=1435.7m/s$

So we get:
$F_{c} = 15 \cdot \frac{{(1435.7)}^{2}}{16} = 1, 932, 407 N$ $F_c=15*(1435.7)^2/16=1,932,407N$

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An object with a mass of $15 k g$ $15 kg$ is revolving around a point at a distance of $16 m$ $16 m$ . If the object is making revolutions at a frequency of $15 H z$ $15 Hz$ , what is the centripetal force acting on the object?

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An object with a mass of 15 kg15kg15 kg is revolving around a point at a distance of 16 m16m16 m. If the object is making revolutions at a frequency of 15 Hz15Hz15 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 $15 k g$ $15 kg$ is revolving around a point at a distance of $16 m$ $16 m$ . If the object is making revolutions at a frequency of $15 H z$ $15 Hz$ , what is the centripetal force acting on the object?