Angular Acceleration of a bicycle

AI Thread Summary
To determine the angular acceleration of a bicycle's wheels with a diameter of 0.8 m, the cyclist accelerates from rest to 22 km/h (6.11 m/s) in 13.7 seconds. The relevant equations include the conversion of linear velocity to angular velocity using the wheel radius, which is 0.4 m. The angular velocity is calculated as approximately 15.28 radians per second. The angular acceleration can then be derived by dividing the angular velocity by the time taken. The calculations indicate a need for clarity on the final steps to find the angular acceleration accurately.
maniacp08
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A bicycle has wheels of 0.8 m diameter. The bicyclist accelerates from rest with constant acceleration to 22 km/h in 13.7 s. What is the angular acceleration of the wheels?

relevant equations:
omega = omega initial + alpha * t

22km/h = 6.11m/s

I did 6.11m/s * 13.7s = 83.7207 to get the velocity
then I divided it by .4m to get 209.30175
Im not sure what I should do nextI have another question which is related to the same topic:
A block of 2kg falls with a speed of 3.9m/s from rest to a distance of 2.5m, its acc. is 3.0m/s from a pulley of radius of 8cm.

(b) What is the angular velocity of the pulley at this time?
I used V = R/omega
= 3.9m/s = .08m / omega
omega = .02
This is wrong is my approach wrong?
 
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maniacp08 said:
A bicycle has wheels of 0.8 m diameter. The bicyclist accelerates from rest with constant acceleration to 22 km/h in 13.7 s. What is the angular acceleration of the wheels?

relevant equations:
omega = omega initial + alpha * t

I did 22km/hr * 13.7s = 301.4 km s / hr to get the velocity
Vi = 0
Im not sure what I should do next

First convert km/h to m/s = 1000/3600

v = 22 kmph = 6.1 m/s

w = v/r = 6.1/.4 = 15.278 radians

w = a*t => a = w/t = ... ?
 
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