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# A circular planetary ring of radius 125000 km completes one full revolution in 120000 hours.

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A circular planetary ring of radius 125000 km completes one full revolution in 120000 hours.

a)  What is the angular velocity of the ring? (in radians/hour)  25π12​Incorrect Select an answer ft/s cm/min radians/hour ft/min km/hr Correct

b)  What is the linear velocity of a rock on the ring? (in km/hr)

Jul 4, 2021

#1
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One revolution is 2pi Radians in 120000 hours

2pi/120000    R/hr

circumference = pi * 2r

velocity is then      pi * 2 * 125 000 / 120000     km/hr

Jul 4, 2021
#2
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A circular planetary ring of radius 125000 km completes one full revolution in 120000 hours.

a)  What is the angular velocity of the ring? (in radians/hour)

b)  What is the linear velocity of a rock on the ring? (in km/hr)

Hello Guest!

a)

$$\omega=\dfrac{2\pi}{12\cdot 10^4hour}\\ \color{blue}\omega=\dfrac{0.1\overline 6\cdot 10^{-4}\large \pi}{hour}$$

b)

$$v_{rock}=\omega \cdot r=\dfrac{0.1\overline 6\cdot 10^{-4}\large \pi}{h}\cdot 12.5\cdot 10^4km$$

$$v_{rock}=6.545km/h$$ !

Jul 5, 2021