How Do You Calculate the Centripetal Acceleration of a Salad Spinner?

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SUMMARY

The centripetal acceleration of a salad spinner with a radius of 11 cm rotating at 2.2 revolutions per second is calculated to be 18 m/s². The angular velocity is determined to be 4.4π radians per second. The formula used for this calculation is v = ωr, where v is the linear velocity, ω is the angular velocity, and r is the radius of the cylinder. This discussion confirms the correct application of the centripetal acceleration formula and the conversion of revolutions per second to radians per second.

PREREQUISITES
  • Understanding of centripetal acceleration
  • Knowledge of angular velocity and its conversion from revolutions per second
  • Familiarity with the formula v = ωr
  • Basic physics concepts related to circular motion
NEXT STEPS
  • Study the derivation of the centripetal acceleration formula
  • Learn about angular displacement and its relationship to angular velocity
  • Explore practical applications of centripetal acceleration in real-world scenarios
  • Investigate the effects of varying radius and speed on centripetal acceleration
USEFUL FOR

Students studying physics, educators teaching circular motion concepts, and anyone interested in the mechanics of kitchen gadgets like salad spinners.

metalmagik
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There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 11 cm. When the cylinder is rotating at 2.2 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall?

I got 18 [itex]m/s^2[/itex] for this. Can anyone confirm this with me, or if not, work it through with me? I'm having a very bad night with physics, thanks.
 
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It would help if one wrote the equation for centripetal acceleration.

http://hyperphysics.phy-astr.gsu.edu/Hbase/circ.html#circ

One revolution is 2[itex]\pi[/itex] radians, and one must use radians when dealing with angular displacement, angular velocity or angular acceleration.

So 2.2 rps gives [itex]\omega[/itex]=4.4[itex]\pi[/itex] radians/sec,

and v = [itex]\omega[/itex]r
 

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