2 centripetal acceleration problems

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SUMMARY

The discussion focuses on two centripetal acceleration problems involving rotating cylinders and a puck on a frictionless table. For the rotating cylinder, the required angular speed to achieve centripetal acceleration equal to Earth's gravitational acceleration is derived using the formula for centripetal acceleration, a = v²/r. The second problem involves calculating the tension in the string, the horizontal force on the puck, and the puck's speed, utilizing the principles of circular motion and tension in strings. The key formulas discussed include a = v²/r and the relationship between tension and centripetal force.

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  • Centripetal acceleration concepts
  • Angular speed calculations
  • Understanding of tension in strings
  • Basic principles of circular motion
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Any help would be greatly appreciated...:cry:

It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?

An air puch of mass 0.25 kg is tied to a string and allowed to revolve in a circle of radius 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.0 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. a) What is the tension in the string? b) What is the horizontal force acting on the puck? c) What is the speed of the puck?
 
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First, you need to show us what you've attempted so far on these problems. What formulas do you know?
 
um i think on the first one you use the a=v2/r equation
is that correct?
 

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