Question

# A wheel rotates so that the angle of rotation is proportional to the square of time. The first revolution was performed by the wheel for 8 sec. Find the angular velocity ( omega, 32 ) sec after the wheel started.

Solution

( theta=k t^{2} )

( theta=2 pi, t=8theta mathrm{dec} )

( k=frac{2 pi}{64}=frac{pi}{32} frac{gamma(1)}{Delta e c^{2}} )

( frac{d theta}{d t}=omega=2 mathrm{k} mathrm{t} )

( omega=2 times frac{pi}{32} times 32=2 pi )