# Angular motion-centrifuge problem .

• Prashant91
In summary, the problem involves a centrifuge starting from rest and accelerating to 3400rpm after 50 seconds. The sample used in the problem is located 37.5mm from the center of the circle. To solve the problem, we need to find the angular acceleration and calculate the centripetal acceleration, which can be done using equations such as a = Λω/Λt and ac = v^2/r. However, it should be noted that the conversion of the radius to meters and the calculation of v^2 is incorrect.
Prashant91

## Homework Statement

: A centrifuge starts from rest and speeds up at 3400rpm after 50 seconds.

a sample is at a distance of 37.5mm from the centre

1) find the angular acceleration
2) calculate the centripetal acceleration [/B]

## Homework Equations

:

v2 / r

v = rω

a = rω2

a=Λω/Λt

3. The Attempt at a Solution

1) a=Λω/Λt = 3400/60*2∏/50 = 7.12 rad/sec^2

2) ac =v^2/ r = 7.12/ 0.01875 ( 0.01875 is the radius converted to M)
[/B]

Prashant91 said:
0.01875 is the radius converted to M
Prashant91 said:
sample is at a distance of 37.5mm from the centre
The distance from the center of the circle to a point on the circumference of the circle is the radius of the circle. So wouldn't the radius of the circle be 37.5mm? Which, converted to meters, is .0375?

Last edited:

## Question 1: What is angular motion?

Angular motion refers to the motion of an object around a fixed point or axis. It is also known as rotational motion.

## Question 2: What is a centrifuge?

A centrifuge is a machine that uses centrifugal force to separate substances of different densities, such as in blood samples or industrial processes.

## Question 3: How does a centrifuge work?

A centrifuge works by spinning a container at high speeds, causing the substances inside to separate based on their densities. The denser substances are forced to the bottom while the lighter substances stay closer to the top.

## Question 4: What is the relationship between angular motion and a centrifuge?

Angular motion is used in a centrifuge to spin the container, creating the centrifugal force necessary for separating substances. The faster the container spins, the greater the force and the more effective the separation.

## Question 5: What are some real-world applications of the angular motion-centrifuge problem?

The angular motion-centrifuge problem has many applications in various industries, such as in medicine for separating blood components, in food processing for separating cream from milk, and in chemistry for separating different substances in a mixture. It is also used in space missions for simulating gravity and in mechanical engineering for designing rotating machinery.

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