解
(1)w=12t^2,
af=w^2r=144t^4r=144*16*0.1m/s^2 (af法向加速度)
at=w'(t)=24t=48m/s^2 (at切向加速度)
Ø=∫w(t)dt=4t^3=32
(2)af=at 144t^4r=24t
即t^3=240/144=5/3
t=(5/3)^1/3 (s)
解
(1)w=12t^2,
af=w^2r=144t^4r=144*16*0.1m/s^2 (af法向加速度)
at=w'(t)=24t=48m/s^2 (at切向加速度)
Ø=∫w(t)dt=4t^3=32
(2)af=at 144t^4r=24t
即t^3=240/144=5/3
t=(5/3)^1/3 (s)