Question 625914
3000 rads per hour is equal to 3000 / 3600 rads per second which is equal to .83... rads per second.
since there are 2*pi rads in one complete revolution of 360 degrees, then you have .83 / (2*pi) revolutions per second which comes out to be .1326291192 revolutions per second.
i believe this is what you had
your equation of 3000 rads/hour / 3600 / 2*pi) equals .1326291192 revolutions per second, same as i got above.
to see if this is good, let's go in reverse.
.1326291192 revolutions per second * 3600 = 477.4648293 revolutions per hour.
477.4648293 revolutions per hour * 2*pi rads per revolution equals 3000 rads per hour.
it all checks out so the answer appears to be good.
your answer, however, is not the same answer i god.
your answer was 1.3 revolutions per second.
you divided 3000 rads/hour find to get rads per second.
you divided that further by 2pi which was good.
only your arithmetic was off.
you got 1.32..... when you should have gotten .132.....
i see what you did.
you divided 3000 by 7200 and then multiplied that by pi.
that gets you 3000/7200 = .416666 which was then multiplied by pi to get 1.308999 which you then rounded to 1.3
you needed to divide 3000 by (7200*pi)
first you muiltiply 7200 * pi and then you divide 3000 by the result.