Finding Coefficient of Static Friction for Amusement Ride

AI Thread Summary
To find the coefficient of static friction for a spinning amusement ride, one needs to consider the radius and the revolutions per second of the ride. The required friction must counteract the centripetal force acting on the riders when the bottom drops out. The discussion references a similar problem solved recently, suggesting that reviewing previous solutions could be beneficial. Ultimately, the user managed to solve the problem independently. Understanding the relationship between centripetal force and friction is key to ensuring rider safety.
jshaner858
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Question: how would i find the coefficient of static friction that would keep people from falling out of a spinning amusement park ride when the bottom dropped out if all i knew was the radius and the amount of revolutions per second...?
 
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That very same problem was solved here a couple days ago - spend a few minutes to look it up!
 
sorry...jeez...figured it out myself anyway...
 
Thread 'Variable mass system : water sprayed into a moving container'
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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