500 rpm = 8.33rps (as in, revs per second).
Considering that the slowdown is linear, we can just treat the
revolutions in the same way that we normally would metres, or
whatever. So, 210 = 8.33*40 - 0.5*a*40^2
==> a = 0.17rps^2 (that is, every second the number of revs per
second drops by 0.41)
So, if v = 8.33- 0.17 *40, we have that v = 1.53, in other words
our rpm is down to 91.3
For the second question, we just have 0 = 8.33 - 0.17t, which
implies that t is 49 seconds.
Total revolutions =8.33*49-0.5*0.17*40^2=272.17
Get Answers For Free
Most questions answered within 1 hours.