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
Messages
127
Reaction score
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
 
Physics news on Phys.org
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.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Is My Calculation of Centripetal Acceleration and Tangential Velocity Correct?
Replies
12
Views
1K
Tangential acceleration and centripetal acceleration
Replies
5
Views
2K
Tangential and centripetal force
Replies
17
Views
2K
What is the centripetal acceleration of the bob-sleigh?
Replies
15
Views
2K
Centripetal acceleration formula
Replies
4
Views
2K
How Do You Calculate Centripetal Acceleration in a Blood Centrifuge?
Replies
8
Views
1K
Another centripetal Acceleration problem
Replies
12
Views
3K
Work Check - Centripetal force - Finding Tension in a Rope
Replies
8
Views
2K
Why Is the Centripetal Acceleration Positive in Uniform Circular Motion?
Replies
5
Views
3K
'They' haven't considered centripetal acceleration
Replies
24
Views
2K

Hot Threads

Recent Insights

Back
Top