Maximum Centripetal Acceleration

You're probably going to have to use something like [itex]a = \frac{v^2}{r}[/itex] and [itex]v = \omega r[/itex] to get started.In summary, the conversation discusses designing a centrifuge to spin at 13,810 rev/min and calculating the maximum centripetal acceleration for a sample held at a distance of 14.1 cm from the rotation axis. It also mentions the time it takes for the centrifuge to reach its maximum rate and the magnitude of its tangential acceleration during this period. Relevant formulas for solving this problem include [itex]a = \frac{v^2}{r}[/itex] and [it
  • #1
bearbratz
3
0
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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  • #2
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.
 

Related to Maximum Centripetal Acceleration

1. What is maximum centripetal acceleration?

Maximum centripetal acceleration is the maximum acceleration experienced by an object moving in a circular path. It is always directed towards the center of the circle and is dependent on the speed and radius of the object's motion.

2. How is maximum centripetal acceleration calculated?

The maximum centripetal acceleration can be calculated using the formula a = v^2/r, where a is the acceleration, v is the speed, and r is the radius of the circle.

3. What is the unit of measurement for maximum centripetal acceleration?

The unit of measurement for maximum centripetal acceleration is meters per second squared (m/s^2).

4. What factors affect the maximum centripetal acceleration?

The maximum centripetal acceleration is affected by the speed and radius of the object's motion. A higher speed or a smaller radius will result in a higher maximum centripetal acceleration.

5. How does maximum centripetal acceleration relate to centripetal force?

Maximum centripetal acceleration and centripetal force are directly related. Centripetal force is the force required to keep an object moving in a circular path and it is equal to the mass of the object multiplied by its maximum centripetal acceleration, or Fc = ma.

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