Maximum Centripetal Acceleration

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SUMMARY

The discussion focuses on calculating maximum centripetal acceleration and tangential acceleration for a centrifuge designed to spin at 13,810 revolutions per minute (rev/min). The maximum centripetal acceleration calculated for a test-tube sample located 14.1 cm from the rotation axis is 249,167 m/s². Additionally, the centrifuge takes 1 minute and 16 seconds to reach its maximum speed, prompting the need to determine the constant tangential acceleration during this spin-up phase.

PREREQUISITES
  • Understanding of centripetal acceleration formulas
  • Knowledge of tangential acceleration concepts
  • Familiarity with rotational motion equations
  • Basic proficiency in unit conversions (e.g., converting rev/min to radians per second)
NEXT STEPS
  • Study the formula for centripetal acceleration: \( a_c = \frac{v^2}{r} \)
  • Learn how to calculate tangential acceleration using \( a_t = \frac{\Delta v}{\Delta t} \)
  • Explore the relationship between angular velocity and linear velocity
  • Review the principles of rotational dynamics and their applications in centrifuge design
USEFUL FOR

This discussion is beneficial for mechanical engineers, physics students, and anyone involved in the design and operation of centrifuges or similar rotational systems.

bearbratz
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You are designing a centrifuge to spin at a rate of 13,810 rev/min.
(a) Calculate the maximum centripetal acceleration that a test-tube sample held in the centrifuge arm 14.1 cm from the rotation axis must withstand.
249167 m/s2.
(b) It takes 1 min, 16 s for the centrifuge to spin up to its maximum rate of revolution from rest. Calculate the magnitude of the tangential acceleration of the centrifuge while it is spinning up, assuming that the tangential acceleration is constant.
I really don't even know where to start.
 
Last edited:
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What formulas do you think might apply to this problem? What variables do you know?

There's a reason why the template you're presented with when opening a thread has a section for relevant equations.
 

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