Uniform circular motion of a rolling object

AI Thread Summary
To determine the number of revolutions a soccer ball makes while rolling 18 meters, first calculate the radius from the diameter of 33 cm, which is 16.5 cm or 0.165 m. Use the formula N = X / (2πr), where X is the linear distance traveled. The correct calculation gives approximately 8.68 revolutions, but ensure the radius is accurately used. The discussion emphasizes verifying the radius value to achieve the correct number of revolutions.
akatsafa
Messages
42
Reaction score
0
A soccer ball of diameter 33cm rolls without slipping at a linear speed of 2.4m/s. Through how many revolutions has the soccer ball turned as it moves a linear distance of 18m?

How do I just find the revolutions? I know how to use the equation to find rev/s, but how do I just get revolutions?

Thank you.
 
Physics news on Phys.org
Find out how long it takes for the ball to do a full revolution. Then find out how long it takes for the ball to move 18 metres. Divide the latter by the former and you should get your answer.
 
hint: there is superfluous information in the problem.
 
I'm using the equation N=X/2pi*r. When I do this, I'm getting 8.68 revolutions, but it's wrong. Is there another equation I should be using?
 
Nevermind. I know what I did wrong!
 
akatsafa said:
I'm using the equation N=X/2pi*r. When I do this, I'm getting 8.68 revolutions, but it's wrong. Is there another equation I should be using?
Your equation is correct. Be sure you are using the correct value for the ball's radius.
 

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 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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 Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
Understanding T = (Seconds/Revolutions) in Uniform Circular Motion
Replies
3
Views
1K
Motion of Sphere Rolling Down Rotating Cone
Replies
9
Views
2K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
3K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Acceleration of system related to rolling motion and pulley
Replies
35
Views
4K
How to Add Acceleration Vector in Uniform Circular Motion
Replies
14
Views
4K
Circular Motion Questions (energies, forces, angular velocities, etc.)
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top