What is its centripetal acceleration?

AI Thread Summary
The discussion focuses on calculating the centripetal acceleration of a bug on a rotating disk. The problem involves determining the tangential acceleration, tangential velocity, and centripetal acceleration after specific time intervals. The calculations provided indicate that the tangential acceleration is 0.273 m/s² and the tangential velocity is 0.819 m/s. To find centripetal acceleration, the equation ac = vT² / R is used, with the need to clarify the speed of the bug after one second. The conversation emphasizes the importance of understanding angular acceleration and its relationship to tangential and centripetal acceleration.
mandy9008
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Homework Statement


(a) What is the tangential acceleration of a bug on the rim of a 8.0 in. diameter disk if the disk moves from rest to an angular speed of 77 rev/min in 3.0 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug? (c) One second after the bug starts from rest, what is its tangential acceleration? What is its centripetal acceleration?


Homework Equations


ac= vT2 / R


The Attempt at a Solution


I got all of the answers in italics, I just can;t figure out the bold part.
answers in italics:
a. a=0.273 m/s2
b. vT=0.819 m/s
c. a=0.273 m/s2
d. ac = 0.819 m/s 2 / 0.1016
ac = 6.60 m/s2
 
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mandy9008 said:
d. ac = 0.819 m/s 2 / 0.1016
ac = 6.60 m/s2
It's not clear to me what you did here. How do you calculate the centripetal acceleration? Hint: What's the speed of the bug at the point in question?
 
i used the equation: ac= vT2 / R
 
mandy9008 said:
i used the equation: ac= vT2 / R
OK, good. What's the speed of the bug after one second? (Note that this is not the final speed you calculated in part b.)
 
mandy9008 said:

Homework Statement


(a) What is the tangential acceleration of a bug on the rim of a 8.0 in. diameter disk if the disk moves from rest to an angular speed of 77 rev/min in 3.0 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug? (c) One second after the bug starts from rest, what is its tangential acceleration? What is its centripetal acceleration?

(a) Problem ask the tangential acceleration. Not centrapetal acceleration.
Find first angular acceleration (alpha). Unit!
Then find tangential acceleration aT
 
inky said:
(a) Problem ask the tangential acceleration. Not centrapetal acceleration.
Find first angular acceleration (alpha). Unit!
Then find tangential acceleration aT
Part (a) was done correctly; she's asking about part (d), which does ask for centripetal acceleration.
 

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