How may I calculate the angular acceleration of a wheel of radius R given that its vector of total acceleration of a point on its perimeter forms an angle of pi/6 wrt the tangential acceleration at that point at t=1sec after the body has begun its motion?(adsbygoogle = window.adsbygoogle || []).push({});

My attempt at a solution:

a_tot = (-r*w^2,r*dw/dt)

a_tang = (0,r*dw/dt)

Their dot product/product of lengths should yield cosine 30.

I got dw/dt = sqrt(3)w^2

Is that correct? Don't I also know that wt = (pi/2 - pi/6)? Couldn't I have calculated w using that?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Angular acceleration

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