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Unformatted text preview: central angle does it sweep out in 3.1 seconds? Solution: Here we have t = 3.1 sec, = 10 m/sec, and r = 4 m. Thus, the angle is given by s = r = s r = t r = (10 m/sec)(3.1 sec) 4 m = 7.75 rad . In many physical applications angular speed is given in revolutions per minute , abbreviated as rpm . To convert from rpm to, say, radians per second, notice that since there are 2 radians in one revolution and 60 seconds in one minute, we can convert N rpm to radians per second by canceling the units as follows: N rpm = N rev min 2 rad 1 rev 1 min 60 sec = N 2 60 rad/sec This works because all we did was multiply by 1 twice. Converting to other units for angular speed works in a similar way. Going in the opposite direction, say, from rad/sec to rpm, gives: N rad/sec = N 60 2 rpm...
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This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.
 Fall '11
 Dr.Cheun
 Calculus

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