Uniform Circular motion problem

AI Thread Summary
The discussion centers on calculating the difference in linear speed between the top and bottom of a 235 m tall tower located at the equator due to Earth's rotation. The user initially uses a radius of 6400 km for Earth and converts the rotation period of 365 days into seconds to find the angular velocity. After calculating the linear velocity at both the top and bottom of the tower, the user realizes an error in their understanding of the rotation period. The final calculated difference in speed is incorrect, leading to confusion about the methodology. The user expresses frustration over the mistake in their calculations.
SgtSniper90
Messages
7
Reaction score
0
Uniform Circular motion problem!

Homework Statement


A 235 m tall tower is built on the equator. Due to the rotation of the earth, how much faster does a point at the top of the tower move than a point at the bottom (in m/s)?


Homework Equations


v=w*r (w is omega)



The Attempt at a Solution


So it didnt give me the radius of the Earth but the previous problem said it was 6400 km so i used that and converted 365 days to seconds and got 31536000. Next i tried to find the velocity of the Earth in m/s so 6400km= 6400000 m. 6400000m/31536000s. i get 0.2029426687. i do the same thing but at 235 to the radius and i get 0.2029426687. I next found the difference and get 7.45*10-6. Its not right i don't know what I am doing wrong...
 
Physics news on Phys.org


365 days for the Earth to rotate!??
 


oops I am retarded...
 

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

A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Uniform Circular Motion Inside a Sphere of Charge
Replies
7
Views
3K
Uniform Circular Motion - distance
Replies
2
Views
2K
Uniform Circular Motion of a Spherical Earth
Replies
2
Views
2K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
3K
How does radius affect frequency in uniform circular motion?
Replies
17
Views
9K
Projectile and Uniform Circular Motion
Replies
3
Views
2K
Understanding T = (Seconds/Revolutions) in Uniform Circular Motion
Replies
3
Views
1K
Circular motion of a rotational spring
Replies
12
Views
3K

Hot Threads

Recent Insights

Back
Top