please do C and D please do g please do g The wheel uf a srindstooe as in give F

Question

please do C and D

please do g

please do g

The wheel uf a srindstooe as in give Figure has a constant augalar acceteration ats from rest with an arbitrary referesce line horizontal as shows in the pietute line (a) what is the angular displacement of the reference line (and hence of the wheel) daring the interval from t=0 to t-18 s? (1 points) 41.7 rad :ui t@se.t g (b) What is the angular speed of the wheel at 18 s? (1 points) e) Now assume that with 8ame angular acceleration = 0.35 rad sa but seen me that the wheel does not start from rest but has an initial angular velocity wo of -1.6 rad/s. At, what time t will the grindstone come momentarily to rest? (1 points) (d) At what time will the grindstone have turned through five revolutions from its initial angular position? (1 points)

Explanation / Answer

c. alpha = 0.35 rad/s/s

wi = -4.6 rad/s

wf = 0 rad/s

hence

wf = wi + alpha*t

0 = -4.6 + 0.35t

t = 13.1428571 s

d. theta = 10*pi

10*pi = wi*t + alpha*0.5*t^2

0.175t^2 - 4.6t - 10*pi = 0

t = 31.91129 s

g. v = 33.5 m/s

c = 343 m/s

fo = 400 Hz

hence

while approaching

f = fo*c/(c - v )

f = 443.295638126 Hz

while receeding

f = fo*c/(c + v)

f = 364.40903 Hz

g. intiial KE = 1897.6 J

as the pendulum reaches the top, PE = mgl*(1 - cos(tehta))

the rest of the energy = intial KE - PE is wasted

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