- #1
peripatein
- 880
- 0
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?
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?
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?