Easy Circular Motion Problem that I can't get right

AI Thread Summary
The discussion centers on calculating the speed of a satellite in circular orbit using the centripetal acceleration formula a = v^2/r. The centripetal acceleration given is 8.19 m/s², which was converted to km/h² as 1061.42 km/h². The user calculated the speed to be approximately 2694.46 km/h but received feedback indicating the answer is off by a multiple of ten. There is a suggestion that the conversion from meters per second to kilometers per hour may have been incorrect. The focus remains on resolving the calculation error to determine the correct orbital speed.
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The astronaut orbiting the Earth in Figure P4.32 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 470. km above the Earth's surface, where the free-fall acceleration (centripetal acceleration) is 8.19 m/s2. Take the radius of the Earth as 6370 km.

Determine the speed of the satellite in km/h.


THis is a circular motion problem where a = v^2/r can be used right?
8.19 m/s^2 converted to km/h^2 = 1061.42 km/h^2

sqrt(1061.424*(470+6370) = 2694.46

my answer was 2694.46; 2690 but the system is telling me that I'm off by a multiple of ten. What am I doing wrong?
 
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I think your conversion from m/s to km/h is wrong...
 
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