Centripetal Acceleration circular disk

AI Thread Summary
A circular disk with a radius of 30 cm and an angular acceleration of 1 rad/s² has a tangential acceleration of 30 cm/s². To find the centripetal acceleration, the relevant formula is ac = v²/r, where v is the linear velocity. The linear velocity can be calculated using v = r * ω, with ω being the angular velocity in radians per second. The discussion highlights confusion around the formulas and the variable definitions, particularly the meaning of angular velocity. Understanding these concepts is crucial for solving problems related to centripetal acceleration.
Simple Echo
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Homework Statement


A circular disk of radius 30 cm is rotating with an angular acceleration of 1 radian/ s2. What is the tangential acceleration of a point on the rim of the disk? What is its centripetal acceleration if the angular speed is 3 rev / s?


Homework Equations


tangential acceleration = angular acceleration * radius



The Attempt at a Solution


tangential acceleration = 1 * 30 = 30 cm/sec^2

I'm not even sure I got that part right, my online reading just throws a bunch of random variables at me, and I have no idea what they're referring to. If someone could just explain the equation to me to figure out the Centripetal Acceleration, that would be great. I'm not asking you to do it, I just want to know how. I already failed at this question.
 
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What formula did you use for centripetal acceleration?
 
rock.freak667 said:
What formula did you use for centripetal acceleration?

That's one of my problems, I have no idea what the formula is to use.
 
ac = v^2/r

So
Centripetal Acceleration = 3^2/30?
0.3 rev/s

I don't even think this is the right equation
 
Simple Echo said:
ac = v^2/r

So
Centripetal Acceleration = 3^2/30?
0.3 rev/s

I don't even think this is the right equation

a_c=\frac{v^2}{r}

but remember that v=rw so substitute that to get another form of centripetal acceleration.
 
Velocity = Radius * W
What is the variable w?
 
Simple Echo said:
Velocity = Radius * W
What is the variable w?

angular velocity
 
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