Uniform circular motion - stone in pail

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SUMMARY

The discussion focuses on calculating the minimum speed required for a stone to remain in contact with a pail moving in a vertical circle with a radius of 60 cm. The established answer is 2.4 m/s. The relevant formula used is v = 2πr / T, where 'v' is the speed, 'r' is the radius, and 'T' is the period of rotation. Participants seek clarification on determining the period 'T' in this context.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Familiarity with the formula v = 2πr / T
  • Basic knowledge of physics concepts such as speed and radius
  • Ability to manipulate equations to solve for unknown variables
NEXT STEPS
  • Learn how to calculate the period of rotation in circular motion
  • Study the effects of gravitational force on objects in circular motion
  • Explore examples of uniform circular motion in real-world applications
  • Investigate the relationship between speed, radius, and centripetal acceleration
USEFUL FOR

Students studying physics, educators teaching circular motion concepts, and anyone interested in understanding the dynamics of objects in motion within a circular path.

softball1394
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Homework Statement


A stone rests in a pail that is moved in a vertical circle of radius 60 cm. What is the least speed the stone must have as it rounds the top of the circle if it is to remain in contact with the pail?
Answer: 2.4 m/s


Homework Equations



v= 2 pi r / t

The Attempt at a Solution



v = 2 pi .6 / t

v= 3.77 / t

How do I figure out what T is? Am I using the right formula? Please answer, thanks.
 
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Anyone? I just need help on getting the problem started :/
 

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