How Does Angular Velocity Relate to Centripetal Acceleration?

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In summary, the conversation discusses calculating the angular velocity needed to produce a 3 g's centripetal acceleration at a radius of 2.5 m. The equations used are m(v^2)/r and mW^2r, where W represents rotational velocity. The final calculated result is 3.4 radians/sec. The importance of including units in calculations is also mentioned.
  • #1
iamtrojan3
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Homework Statement


What angular velocity would cause a centripetal acceleration of 3 g's if the radius were 2.5 m?

i have a test 2moro on this stuff... yea i need to know =D thx


Homework Equations



i guess m(v^2)/r or mW^2r

The Attempt at a Solution



no idea. srry :confused:
 
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  • #2
iamtrojan3 said:

Homework Equations



i guess m(v^2)/r or mW^2r

What is the W? And what do you calculate with mW^2r?
 
  • #3
W is rotational velocity.. sryy for not making that clear.
(MASS)(W^2)(radius)=centripetal Force
W^2R= Centripetal Acceleration
I just plugged numbers in 29.4= W^2(2.5) and i got 3.4radian/sec for W.
this looks 2 easy... if someoen could verify please =D
 
  • #4
Yes, very good, your answer is correct. But you should also write down the units, for example acceleration is in m/s^2 and radius in m. This allows you to check whether your result is correct.

For example if you calculated W as something with 1/s^2, you know you made a mistake because the unit must be 1/s (or radian/sec).
 
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  • #5
thanks tons edgardo!
 

FAQ: How Does Angular Velocity Relate to Centripetal Acceleration?

What is centripetal force/acc problem?

The centripetal force/acc problem refers to the calculation of the force or acceleration required to keep an object moving in a circular path. It is a common concept in physics and is essential in understanding circular motion.

How is centripetal force/acc problem related to centripetal force?

The centripetal force/acc problem is directly related to the concept of centripetal force. Centripetal force is the force that keeps an object moving in a circular path, and the centripetal force/acc problem deals with determining the magnitude of this force.

What factors affect the centripetal force/acc problem?

The magnitude of the centripetal force/acc problem is affected by the mass of the object, the velocity of the object, and the radius of the circular path. The greater the mass or velocity, the greater the force or acceleration needed to maintain the circular motion. A smaller radius also requires a greater force or acceleration.

How do you calculate the centripetal force/acc problem?

To calculate the centripetal force/acc problem, you can use the formula F = mv^2/r, where F is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path. To calculate the acceleration, you can use the formula a = v^2/r.

What is the difference between centripetal force and centrifugal force?

Centripetal force is the force that pulls an object towards the center of a circular path, while centrifugal force is the outward force that an object experiences when it moves in a circular path. Centrifugal force is often referred to as a "fictitious force" because it is not a real force but rather a result of the object's motion.

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