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
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."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f65923-b5e6-4be3-9be2-727b112c89ca%2Fc6fa1213-cc07-434f-9c0c-d1c91087a02d%2Fjglaoxl_processed.jpeg&w=3840&q=75)
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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