The conversion of 477 revolutions per minute (rev/min) to radians results in 2997.07 radians. To convert this value to radians per second, one must divide by 60, as rev/min measures angular displacement over time. The formula used is 477 rev * (2π radians/1 rev) = 2997.07 radians, which can also be approximated to 3000 radians using three significant figures. Therefore, the final conversion to radians per second is 2997.07 radians/minute divided by 60, yielding approximately 49.95 radians/second.
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rev/minute does not convert to radians. It converts to units of angle/time. So it converts to radians/minute (which you correctly show as [itex]2\pi *477 = 2997 rad/min[/itex] or 3000 rad/min. using 3 significant figures) or radians/sec. It is then a simple matter to convert your answer in radians/min to radians/sec.brncsfns5621 said:If I was given 477 rev/min and I need to convert to radians, I would use:
477rev (2*pi radians/1 rev) = 2997.07 radians
Question is do I need to divide by 60 to get radians/second instead of minutes?