Angular Acceleration of Wheels: Solve Homework Problem

AI Thread Summary
To solve for the angular acceleration of the cyclist's wheels, the problem states that the wheels make 8.5 revolutions in 4.5 seconds. The correct approach involves converting the revolutions to radians, where 8.5 revolutions equals 53.4 radians. The formula θ = ω₀*t + 1/2*α*t² is used to find angular acceleration (α), but the initial angular velocity (ω₀) must be considered, which is zero since the cyclist starts from rest. The user struggles with the calculations, indicating a misunderstanding of how to apply the formulas correctly. The key to solving the problem lies in accurately determining the angular displacement and applying the equations of motion for rotational dynamics.
Devin Longo
Messages
11
Reaction score
0

Homework Statement



A cyclist starts from rest and pedals so that the wheels make 8.5 revolutions in the first 4.5 s. What is the angular acceleration of the wheels (assumed constant)?



Homework Equations



\alpha = \Delta\omega/ \Deltat



The Attempt at a Solution



I converted 8.5 to radians and divided by 4.5. BUT I CANT GET THE RIGHT ANSWER!
 
Physics news on Phys.org
Use the formula
θ = ωο*t + 1/2*α*t^2 and find α.
 
So, I do that and I get .839. I kept 8.5 as my theta. It still isn't right. What could I be doing wrong?
 
No. The angular displacement θ = 2*π*n, where n is the number of revolutions per second.
 

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

Angular momentum and a summersault problem
Replies
19
Views
2K
Angular velocity and angular acceleration of a turbine
Replies
17
Views
3K
Centripetal Acceleration while Swinging a Stone on a String
Replies
9
Views
1K
How to calculate angular speed?
Replies
7
Views
2K
Angular Acceleration of a Flywheel Lab
Replies
7
Views
6K
How Do Friction and Force Affect the Angular Velocity of Connected Wheels?
Replies
19
Views
3K
Calculate the angular acceleration of a hand - no time given
Replies
10
Views
2K
Angular acceleration of a wheel w/string on inner hub?
Replies
4
Views
2K
Angular Acceleration and torque problem
Replies
22
Views
4K
Bicycle Translational Acceleration vs Angular Acceleration
3
Replies
121
Views
11K

Hot Threads

Recent Insights

Back
Top