A wheel rotates so that the angle o...
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.

11th - 12th Class
Physics
Solution
79
4.0 (1 ratings)

( 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 )

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