Coefficient of rotation friction

AI Thread Summary
The discussion focuses on determining the coefficient of rotation friction between a bowling ball and the lane for an extended essay on bowling. One suggested method involves measuring the distance a ball travels before stopping to calculate the frictional force, which is then compared to the ball's weight. However, a counterpoint is raised questioning the feasibility of this method, as the ball does not stop solely due to friction. The complexities of both translational and rotational kinetic energy are highlighted as factors in the frictional interaction. Accurate measurement techniques are essential for a reliable determination of the coefficient of rotation friction.
blanc4peace
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I am a student and i am doing extended essay on bowling. My topic is to investigate the relation between friction and the direction of ball curving (hook ball). On conducting the experiment, I face a problem on finding the coefficient of friction between rotating bowling ball and bowling lane. How to find the coefficient of rotation friction?
 
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You could measure the magnitude of the frictional force acting on the ball by determining the distance it takes to come to a halt. That is the work done by the frictional force is then equal to the initial kinetic energy of the ball. This means that you need to measure the initial speed of the ball (the distance is then also measured from this point). The coefficient is then the ratio of this force and the weight of the ball. Remember that the ball has both translational and rotational kinetic energy that is removed by the frictional force.
 
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adnrevdh, i do not think your method is feasible... the bowling ball does not come to a stop because of the friction force.
 
Thread 'Variable mass system : water sprayed into a moving container'

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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