Rotational and Circular Motion
Angular displacement is measured in:
A) radian
B) degree per second
C) meter
D) newton
Angular velocity is:
A) rate of change of angular displacement
B) rate of change of linear velocity
C) angular displacement per unit arc length
D) torque per unit time
$\omega$ has SI unit:
A) $\text{rad s}^{-1}$
B) $\text{rad}$
C) $\text{m s}^{-1}$
D) $\text{s}$
Angular acceleration is:
A) $\alpha=\dfrac{d\omega}{dt}$
B) $\alpha=\dfrac{d\theta}{dt}$
C) $\alpha=\dfrac{dv}{dt}$
D) $\alpha=\omega\theta$
Relation between linear and angular velocity:
A) $v=r\omega$
B) $v=\dfrac{\omega}{r}$
C) $v=\omega r^{2}$
D) $v=\dfrac{r}{\omega}$
Centripetal acceleration magnitude is:
A) $a_{c}=\dfrac{v^{2}}{r}=r\omega^{2}$
B) $a_{c}=vr$
C) $a_{c}=\dfrac{r}{v^{2}}$
D) $a_{c}=\omega/v$
Centripetal force on a mass $m$ moving with speed $v$ in radius $r$:
A) $F=\dfrac{mv^{2}}{r}$
B) $F=\dfrac{mr^{2}}{v}$
C) $F=\dfrac{rv}{m}$
D) $F=\dfrac{m}{rv^{2}}$
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