Radial and Tangential AccelerationA wheel (radius r), starting from rest undergoes a uniform angular acceleration of alpha about its fixed axle. What are the tangential and radial accelerations as a function of alpha, r and t. Also, show that the angle between the total acceleration vector at P on the edge of the wheel and the radial vector is inversely proportional to the number of revolutions the wheel has made.
- atangential= alpha r
aradial=acentripetal=omega2 r=(alpha t)2r
- Tan(theta)=atangential/aradial=alphar/(alpha t)2r
- alpha t2=2 omega =2*theta
- omega=2 pi N
Tan(theta)=1/4 pi N