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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
avatar+33376 
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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
avatar+11835 
+1

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)

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

\(v_{rock}=6.545km/h\)

laugh  !

 Jul 5, 2021

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