Circular Motion of a 8.0cm CD: Finding Speed and Revolution Using Kinematics

AI Thread Summary
The discussion focuses on calculating the speed and revolutions of a dot on an 8.0 cm diameter disk that accelerates at 600 rad/s² for 0.5 seconds before coasting. For part a, the correct approach involves using the angular acceleration to find the final angular velocity after 0.5 seconds, which is then converted to linear speed. For part b, the total number of revolutions can be determined by applying kinematic equations to the angular motion, considering both the acceleration phase and the coasting phase. Participants express confusion about the calculations, particularly in determining the correct final velocity and the total revolutions. Accurate application of kinematic equations is essential for resolving the problem effectively.
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A magnetic computer disk 8.0 cm in diameter is initially at rest. A small dot is painted on the edge of the disk. The disk accelerates at 600 rad/ s^2 for 1/2 s, then coasts at a steady angular velocity for another 1/2 s . a) What is the speed of the dot at t = 1.0 s?
b)Through how many revolutions has it turned?


for a) i kept getting the answer wrong:
i did :
d=8.0cm
so r=4.0 cm
ti=0s
tf=0.5s
a=600 rad/s^2

vi=(2)(pi)(4.0cm) / 1.0s

so; vi=25m/s


and for part b)
i think you have to use the kinematic equation after you get vi.. I'm not sure tho.. am i right?? please help. thanks in advance!
 
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For part a) What is the velocity after .5s - v=a*t
then coasts at a steady angular velocity for another .5 s - same Angular velocity as accelerated to
 
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