What is its centripetal acceleration?

In summary, the problem asks for the tangential acceleration of a bug on the rim of a 8.0 in. diameter disk as it moves from rest to an angular speed of 77 rev/min in 3.0 s. The tangential velocity of the bug when the disk is at its final speed is 0.819 m/s. One second after starting from rest, the bug's tangential acceleration is 0.273 m/s^2, and its centripetal acceleration is 6.60 m/s^2. The formula used to calculate the centripetal acceleration is ac = vT^2/R.
  • #1
mandy9008
127
1

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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  • #2
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?
 
  • #3
i used the equation: ac= vT2 / R
 
  • #4
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.)
 
  • #5
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
 
  • #6
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.
 

FAQ: What is its centripetal acceleration?

What is its centripetal acceleration?

Centripetal acceleration is the acceleration that an object experiences when it moves in a circular path. It is always directed towards the center of the circle.

How is centripetal acceleration calculated?

The formula for centripetal acceleration is a = v^2/r, where 'a' is the centripetal acceleration, 'v' is the velocity of the object, and 'r' is the radius of the circular path.

What is the difference between centripetal acceleration and centrifugal force?

Centripetal acceleration is a real force that acts towards the center of the circle to keep an object in circular motion. Centrifugal force is a fictitious force that appears to act outwards on an object in circular motion due to inertia.

What factors affect centripetal acceleration?

The two main factors that affect centripetal acceleration are the speed of the object and the radius of the circular path. The greater the speed or the smaller the radius, the greater the centripetal acceleration will be.

Can centripetal acceleration be negative?

No, centripetal acceleration is always positive as it is a measure of the change in velocity of an object moving in a circular path, which is always towards the center of the circle.

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