Data has been gathered from a lifting system used to remove spent RBMK fuel rods from the spent rod pool into long term safe storage. At present the spent rods are winched up from the pool and then lowered into concrete barrels in a second pool.  When it is positioned properly the winch is released and the rod is allowed to drop in.  The following calculation is based on data gathered from the present set up. Time taken to lowered into concrete barrels = 10 Seconds Winch drum diameter = 0.9m Mass of load = 185 kg Initial velocity = 0 m/s Distance travelled = 6m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum   In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.   From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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Data has been gathered from a lifting system used to remove spent RBMK fuel rods from the spent rod pool into long term safe storage. At present the spent rods are winched up from the pool and then lowered into concrete barrels in a second pool.  When it is positioned properly the winch is released and the rod is allowed to drop in.  The following calculation is based on data gathered from the present set up.

Time taken to lowered into concrete barrels = 10 Seconds

Winch drum diameter = 0.9m

Mass of load = 185 kg

Initial velocity = 0 m/s

Distance travelled = 6m

You have been asked to use this information to determine:

  1. The final linear velocity of the load
  2. The linear acceleration of the load
  3. The final angular velocity of the drum
  4. The angular acceleration of the drum
  5. The tension force in the cable
  6. The torque applied to the drum

 

In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.

 

From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).

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