Determine the angular velocity of the Wheel

AI Thread Summary
To determine the angular velocity of the wheel, the cart's velocity is given as 3.4 ft/sec to the right. For point A on the wheel's rim to have a velocity of 3.4 ft/sec to the left, the angular speed was calculated using the equation vA = vO + vA/O, resulting in an angular velocity of 6.8/11.6 rad/sec, or approximately 5.597 rev/min. The initial calculation was incorrect due to a unit conversion error, as the radius of 11.6 inches needed to be converted to feet. The discussion highlights the importance of unit consistency in physics problems.
Northbysouth
Messages
241
Reaction score
2

Homework Statement


The cart has a velocity vc = 3.4 ft/sec to the right. Determine the angular speed N (positive if counterclockwise, negative if clockwise) of the wheel so that point A on the top of the rim has a velocity (a) equal to 3.4 ft/sec to the left, (b) equal to zero, and (c) equal to 6.8 ft/sec to the right.

I have attached an image of the question


Homework Equations





The Attempt at a Solution



vA = vO + vA/O

vO = -3.4i

v = wXr

r = 11.6j

For part a)

-3.4i = 3.4i + wX<11.6j>

Solving for w gives me

w = 6.8/11.6 k rad/sec

Which is equivalent to

w = 5.597 rev/min

I don't think this is right and I can't see what's wrong with what I've done.

Advice would be greatly appreciated.
 

Attachments

  • dyn 5.060.png
    dyn 5.060.png
    18 KB · Views: 824
Physics news on Phys.org
Nevermind, I found my mistake. I forgot to convert the 11.6" to feet.
 

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

What is the final angular velocity of each cylinder
Replies
1
Views
2K
How Far Does a Hamster Run in Its Wheel in One Night?
Replies
5
Views
2K
Angular Velocity of a wheel problem
Replies
4
Views
3K
Rolling Wheel / quick question -- Linear and Angular Velocity
Replies
2
Views
2K
Angular Acceleration Homework: 962 Revolutions in 10 Secs
Replies
1
Views
4K
Finding angular speed by conservation of angular momentum
Replies
7
Views
1K
Calculating Flywheel Rotations in Angular Speed and Constant Acceleration
Replies
10
Views
2K
Need help calculating angular velocity
Replies
13
Views
2K
Angular Velocity and Acceleration
Replies
3
Views
2K
Calculating Angular Velocity and Tensions After a Ball Hits a Board at an Angle
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top