Angular Acceleration of Wheels: Solve Homework Problem

Click For 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 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
View full post »

Similar threads

Angular momentum and a summersault problem
  • · Replies 19 ·
Replies
19
Views
2K
Angular velocity and angular acceleration of a turbine
  • · Replies 17 ·
Replies
17
Views
3K
Centripetal Acceleration while Swinging a Stone on a String
  • · Replies 9 ·
Replies
9
Views
2K
How to calculate angular speed?
  • · Replies 7 ·
Replies
7
Views
3K
Angular Acceleration of a Flywheel Lab
  • · Replies 7 ·
Replies
7
Views
6K
How Do Friction and Force Affect the Angular Velocity of Connected Wheels?
  • · Replies 19 ·
Replies
19
Views
3K
Calculate the angular acceleration of a hand - no time given
  • · Replies 10 ·
Replies
10
Views
2K
Angular acceleration of a wheel w/string on inner hub?
  • · Replies 4 ·
Replies
4
Views
2K
Angular Acceleration and torque problem
  • · Replies 22 ·
Replies
22
Views
4K
Bicycle Translational Acceleration vs Angular Acceleration
  • · Replies 121 ·
5
Replies
121
Views
12K