A centrifuge in a medical laboratory rotates at an angular speed of 3550 rev/min. When switched off, it rotates through 46.0 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge. rad/s2 Need Help? Read It

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**Problem:**

A centrifuge in a medical laboratory rotates at an angular speed of 3550 revolutions per minute (rev/min). When switched off, it rotates through 46.0 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge.

**Answer:**

The required answer is expressed in radians per second squared (rad/s²).

**Guidance:**

- To solve this problem, you can use the kinematic equation for rotational motion since the final angular velocity is zero.
- Convert the initial angular speed from rev/min to rad/s.
- Use the formula: 
  \[
  \omega^2 = \omega_0^2 + 2\alpha\theta
  \]
  where \(\omega\) is the final angular speed (0 rad/s), \(\omega_0\) is the initial angular speed in rad/s, \(\alpha\) is the angular acceleration, and \(\theta\) is the angular displacement in radians (convert 46.0 revolutions to radians).
  
**Need Help?**

To learn more about the steps, click on "Read It."
Transcribed Image Text:**Problem:** A centrifuge in a medical laboratory rotates at an angular speed of 3550 revolutions per minute (rev/min). When switched off, it rotates through 46.0 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge. **Answer:** The required answer is expressed in radians per second squared (rad/s²). **Guidance:** - To solve this problem, you can use the kinematic equation for rotational motion since the final angular velocity is zero. - Convert the initial angular speed from rev/min to rad/s. - Use the formula: \[ \omega^2 = \omega_0^2 + 2\alpha\theta \] where \(\omega\) is the final angular speed (0 rad/s), \(\omega_0\) is the initial angular speed in rad/s, \(\alpha\) is the angular acceleration, and \(\theta\) is the angular displacement in radians (convert 46.0 revolutions to radians). **Need Help?** To learn more about the steps, click on "Read It."
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