Linear Acceleration of a Bicycle with Changing Wheel Rotation

AI Thread Summary
To find the linear acceleration of a bicycle with wheels of 0.600 m diameter, the problem involves converting wheel rotation from RPM to radians per second and calculating angular acceleration. The bicycle's wheel rotation increases from 215 RPM to 275 RPM over 24.3 seconds. The relationship between angular speed and linear speed is crucial for determining linear acceleration. The discussion highlights the need to compute the distance traveled per revolution to connect angular and linear motion. Understanding these relationships is key to solving the problem accurately.
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Homework Statement



A bicycle has wheels with a diameter of .600 m. It accelerates uniformly and the rate of rotation of its wheels increases from 215rpm to 275rpm in a time of 24.3 seconds. Find the linear acceleration of bicycle.

Homework Equations


w =wi + alpha(time)



The Attempt at a Solution



I obviously don't know what I am doing. First I tried converting the rpms into rads/s. Then I used the new angular velocities to find the angular acceleration. However I then tried to find the linear acceleration by finding the a(tan) and a(rad) and finding the magnitude from these values. But I was wrong!

Unfortunately I do not know what the answer is, but if anyone can steer me in the proper direction, that would be greatly appreciated!
 
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Hint: How far does the Bicycle move each revolution?
 
so...I find theta in order to find the linear acceleration?
 
There's a very direct relation between the angular speed in rpms of the wheels and the linear speed of the bicycle. Can you find it?
 
oh, I understand now dick! Thank you.
 

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