Circular Momentum Homework: Find Radius of a Particle in Counterclockwise Motion

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To find the radius of a particle in counterclockwise circular motion, the acceleration formula a = v^2/r is key. The period of the motion is determined to be 2.67 seconds, and the acceleration at t1 is calculated as 7.21 m/s². The challenge lies in determining the velocity, which is necessary to solve for the radius. Further assistance is offered for any issues with the provided links. The discussion emphasizes the importance of understanding circular motion dynamics to solve the problem effectively.
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Homework Statement


At t1 = 1 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is http://edugen.wiley.com/edugen/shared/assignment/test/session.quest365780entrance1_N10039.mml?size=14&algorithm=1&rnd=1201725654088
At t2 = 3 s (less than one period later), the acceleration is http://edugen.wiley.com/edugen/shared/assignment/test/session.quest365780entrance1_N10080.mml?size=14&algorithm=1&rnd=1201726050259
The period is more than 2 s. What is the radius of the circle?

Homework Equations


a=v^2/r


The Attempt at a Solution


I figured out the period is 2.67 seconds and the acceleration is 7.21 m/s^2. Then I get stuck
 
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Also, if those links don't work, reply and ill try my best to fix them
 
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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