Question 677: Centre of Mass and Rotational Motion

Question

A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through  an angle (in radian) of

Accepted Answer

Given: Angular acceleration, $$\alpha $$ = 3 rad/sec
2
Initial angular velocity $${\omega _i}$$ = 2 rad/sec
Time t = 2 sec
Using, $$	heta  = {\omega _i}t + {1 \over 2}\alpha {t^2}$$
$$ 	herefore $$ $$	heta  = 2 	imes 2 + {1 \over 2} 	imes 3 	imes 4 = 4 + 6 = 10\,$$ radian.

Answer

10

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12

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4

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6

Centre of Mass and Rotational Motion

A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of

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