A car wheel is rotated to uniform angular acceleration about its axis. Initially its angular velocity is zero. It rotates through an angle ${{\rm{\theta }}_1}$ in the first 2 s , in the next 2 s, it rotates through an additional angle ${{\rm{\theta }}_2}$, the ratio of $\frac{{{{\rm{\theta }}_2}}}{{{{\rm{\theta }}_1}}}$ is

JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Application +4 | -1

A car wheel is rotated to uniform angular acceleration about its axis. Initially its angular velocity is zero. It rotates through an angle

{\mathrm{\theta }_1}

in the first 2 s , in the next 2 s, it rotates through an additional angle

{\mathrm{\theta }_2}

, the ratio of

\frac{{{\mathrm{\theta }_2}}}{{{\mathrm{\theta }_1}}}

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Correct option: C

Option C (3) is correct because the angle rotated is proportional to the square of the time, given uniform angular acceleration.

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\mathrm{AB}

\mathrm{L}

\mu(x)=a+\frac{b x}{L}

x

\mathrm{A}

\mathrm{CM}

\left(\frac{7}{12}\right) \mathrm{L}

\mathrm{A}

\mathrm{b}

1.0 \mathrm{~g}

8 \mathrm{~cm}

\omega = {t^4} + 2{t^3}

t = 1\,sec

\left( {rad\,{s^{ - 2}}} \right)