Question

Find the angular velocity of a centrifuge in which a particle 10 cm from the axis of rotation experiences a radial acceleration of 103 times g.

Answer 1

To find the angular velocity of a centrifuge, use the formula acceleration = radius * (angular velocity)² and substitute the values given in the question to solve for angular velocity.

Step-by-step explanation:

To find the angular velocity of a centrifuge, we can use the formula:

Acceleration = radius * (angular velocity)²

In this case, the radial acceleration is given as 103 times g, where g is the acceleration due to gravity. Let's assume g = 9.8 m/s². So, the radial acceleration becomes:

Accelerartion = 103 * 9.8 = 1010.4 m/s²

Now, we can substitute the values into the formula and solve for the angular velocity:

1010.4 = 0.1 * (angular velocity)²

(angular velocity)² = 1010.4 / 0.1 = 10104

angular velocity = sqrt(10104) = 100.51 rad/s