How Does Uniform Angular Acceleration Affect Wheel Rotation Over Time?

AI Thread Summary
A wheel experiencing uniform angular acceleration starts with an initial angular velocity of zero and rotates through 88.3 degrees in the first second. The calculated angular acceleration is 1.54 degrees per second squared, which was used to determine that the wheel rotates 264.64 degrees during the second second. The discussion reveals difficulty in calculating the angle for the third second, with suggestions to apply the same angular acceleration formula by substituting the appropriate time interval. Participants encourage sharing previous calculations for better assistance. Understanding the relationship between angular acceleration and time intervals is crucial for solving the problem.
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Uniform Angular Acceleration please help :)

A wheel is subjected to uniform angular acceleration. Initially its angular velocity is zero. During the first 1-s time interval, it rotates through an angle of 88.3

Through what angle does it rotate during the next 1-s time interval? - I found the second 1-s time interval to rotate through an angle of 264.64 deg.

Through what angle during the third 1-s time interval? - I can't seem to figure the angle for this time interval

Ok So for the first part I found the angular acceleration to be 1.54 from the equation angular acceleration= (wf - wi)/change in time for the first angle change 88.3. I used this angular acceleration in the eqn. Change of Angle = Wi (change time) + 1/2(angular acceleration)(change time)^2 I plugged in 2 for the change in time here. I took that answer which was 352.94-88.3 to get final angle of 264.64. I don't know how to manipulate the angular acceleration for the third 1-s interval, but i believe for this one i plug in 3 for the time change... then subtract the angles from the first two intervals to get the final interval.
 
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Why don't you try telling us what you've done so far and how you've done it? You'll get more help if you do that.
 
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