Centripetal Acceleration in Terms of g?

In summary, the question is asking to calculate the magnitude of the centripetal acceleration at a specific distance from the centre of the centrifuge when it is spinning at a given speed. The answer should be expressed in terms of g, which is the acceleration due to Earth's gravity. This can be done by dividing the answer in m/sec^2 by 9.8m/sec^2 to get the answer as a multiple of g.
  • #1
tascja
87
0

Homework Statement


Calculate the magnitude of the centripetal acceleration at 8.4 cm from the centre of the centrifuge when it is spinning at 6.0x10^4 rpm. Express your answer in terms of g (acceleration due to Earth's gravity.)


Homework Equations


Ac = v^2 /
r

The Attempt at a Solution


I know the solution i just don't understand what they are asking from me when they say:
Express your answer in terms of g (acceleration due to Earth's gravity
 
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  • #2
g is 9.8m/sec^2. If you got an answer for the centrifuge question in m/sec^2 then just divide it by 9.8m/sec^2 to get the answer as a multiple of g.
 

Related to Centripetal Acceleration in Terms of g?

1. What is centripetal acceleration?

Centripetal acceleration is the acceleration towards the center of a circular motion. It is always directed towards the center and perpendicular to the velocity of the object.

2. How is centripetal acceleration calculated?

Centripetal acceleration can be calculated using the formula a = v^2/r, where a is the acceleration, v is the velocity, and r is the radius of the circular motion.

3. What causes centripetal acceleration?

Centripetal acceleration is caused by the centripetal force, which is the force that keeps an object moving in a circular motion. This force can come from various sources, such as tension, gravity, or friction.

4. Is centripetal acceleration constant?

No, centripetal acceleration is not constant. As an object moves in a circular motion, its velocity and direction are constantly changing, which means the centripetal acceleration is also changing.

5. How does centripetal acceleration relate to centripetal force?

Centripetal acceleration and centripetal force are directly related. As the centripetal force increases, the centripetal acceleration also increases, and vice versa. This relationship is described by Newton's second law of motion, F = ma.

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