Uniform circular motion - stone in pail

AI Thread Summary
To determine the least speed a stone must have to remain in contact with a pail moving in a vertical circle of radius 60 cm, the required speed is calculated to be 2.4 m/s. The formula used for circular motion is v = 2πr / T, where r is the radius and T is the period of rotation. The user is unsure how to calculate the period T and seeks clarification on whether they are using the correct formula. Assistance is requested to help initiate the problem-solving process. Understanding the relationship between speed, radius, and period is crucial for solving this uniform circular motion problem.
softball1394
Messages
13
Reaction score
0

Homework Statement


A stone rests in a pail that is moved in a vertical circle of radius 60 cm. What is the least speed the stone must have as it rounds the top of the circle if it is to remain in contact with the pail?
Answer: 2.4 m/s


Homework Equations



v= 2 pi r / t

The Attempt at a Solution



v = 2 pi .6 / t

v= 3.77 / t

How do I figure out what T is? Am I using the right formula? Please answer, thanks.
 
Physics news on Phys.org
Anyone? I just need help on getting the problem started :/
 

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

Acceleration in uniform circular motion is uniform or non-uniform?
2
Replies
55
Views
3K
Vertical circular motion
Replies
8
Views
2K
A stone is dropped from an ascending balloon...
Replies
10
Views
962
Find the acceleration in circular motion
Replies
6
Views
2K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Circular Motion/Newton's Laws-- Swinging a Pail
Replies
5
Views
3K
Circular Motion Questions (energies, forces, angular velocities, etc.)
Replies
2
Views
1K
Circular motion, coin on a rotating disk
Replies
2
Views
724
What is the Maximum Radius for a Bucket of Water in Circular Motion?
Replies
7
Views
3K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
3K

Hot Threads

Recent Insights

Back
Top