Uniform angular acceleration - degrees per second?

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Homework Help Overview

The problem involves a wheel undergoing uniform angular acceleration, starting from rest. The initial condition specifies that the wheel rotates through an angle of 88.6 degrees during the first second. The questions focus on determining the angles rotated in the subsequent seconds.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of angular acceleration and its implications for subsequent rotations. There is a mention of using the rotational equivalent of a linear motion equation and questions about whether to subtract the initial angle from subsequent calculations.

Discussion Status

The discussion includes various attempts at calculating the angles for the second and third seconds, with some participants expressing confusion about their results. There is acknowledgment that the angular velocity increases over time, suggesting that the angle rotated in the second interval should be greater than in the first.

Contextual Notes

Some participants reference the need for clarity regarding the units of angular acceleration and the equations applicable to rotational motion. There is an indication that assumptions about the relationship between angular velocity and time intervals are being questioned.

BlueSkyy
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Homework Statement



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 88.6degrees.

(a) Through what angle does it rotate during the next 1-s time interval?
(b) Through what angle during the third 1-s time interval?

Homework Equations



a = (wf - wi)/(tf-ti)
360 degrees = 2*pi*radians

The Attempt at a Solution



i found a = 1.546, where do i go from here?
 
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okay, i came up with 132.87 degrees using one of the equations, do i subtract 88.6 degrees (the original rotation?)
 
i am so confused, and everything i try is wrong
 
Yes, assuming you have calculated the angle turned in 2 secs. It's not very helpful to say "using one of the equations". But I think you are wrong because I'd expect more turn in the second period than the first ( because the speed is increasing linearly).
 

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