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) 25π12Incorrect 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)
+37159 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
+15001 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)
\(v_{rock}=\omega \cdot r=\dfrac{0.1\overline 6\cdot 10^{-4}\large \pi}{h}\cdot 12.5\cdot 10^4km\)
\(v_{rock}=6.545km/h\)
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