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ftth
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Anyone know a name of a book that has question "A grindstone spinning at the rate of 8.3rev/s has what approximate angular speed?"
What is the angular speed of a grindstone spinning at 8.3 rev/s?
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The discussion centers on calculating the angular speed of a grindstone spinning at 8.3 revolutions per second (rev/s). The formula for angular speed is provided as angular speed = 2π(f), where f represents the frequency in rev/s. Participants express skepticism about the need for a specific book containing this question, suggesting it is a straightforward problem. The search for relevant resources yields limited results, with only three mentions found online. The conversation highlights both the simplicity of the question and the difficulty in locating a specific reference.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system
$$M(t) = M_{C} + m(t)$$
$$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$
$$P_i = Mv + u \, dm$$
$$P_f = (M + dm)(v + dv)$$
$$\Delta P = M \, dv + (v - u) \, dm$$
$$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$
$$F = u \frac{dm}{dt} = \rho A u^2$$
from conservation of momentum , the cannon recoils with the same force which it applies.
$$\quad \frac{dm}{dt}...
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