Calculating Angular Acceleration: Angular Velocity in Circular Motion

AI Thread Summary
James is moving in a circular path with a radius of 15.0 m and a speed of 60 m/s, prompting a discussion on calculating his angular velocity and acceleration. To find angular velocity, the relationship w = v/r is used, leading to a conversion of linear speed to radians per second. The correct angular speed is determined to be approximately 1.5707 rad/s. The conversation highlights confusion between angular speed and acceleration, clarifying that if speed is constant, angular acceleration is zero. Understanding these relationships is crucial for solving problems in circular motion.
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James move sin a circular path (radius 15.0m) with a speed of 60 m/s. His angular acceleration in rpm is?

DO you ahve to convert to rad/s then to rev/s then rev/m?

Any help would be appreciated
 
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Do you know the relationship between angular speed and angular acceleration? Study the problem carefully.
 
youw ould have to fine the arc length correct? 15x2(pi) = 94.24777. but I keep thinking i would have to have time before i can solve this problem
 
If James is going at a constant linear speed, the angular speed is also constant. Does that mean anything?
 
so divide that by 60 seconds which would give me 1.5707 rad/s. Is this correct so far?
 
I am just wondering, have you been asked to find angular speed or acceleration?
 
Angular velocity
 
Then why did you ask for acceleration?

Well, w=v/r. Convert as you said in your first post. 1 rev/s = 2*pi rad/s.
 
Sorry about that! but thanks a lot, very much appreciated!
 
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