Physics 11th Chap 4 : Topic 2 - Maryam Publications

Physics Chapter 4 : Topic 2

Angular Displacement, Velocity and Acceleration

1 / 36

Angular displacement is defined as:

A) Change in position along a circular path measured by angle

B) Distance travelled along a straight line

C) Rate of change of velocity

D) Distance travelled per unit time

2 / 36

The SI unit of angular displacement is:

A) Degree

B) Revolution

C) Meter

D) Radian

3 / 36

The relationship between arc length and angular displacement is:

A) $\mathbf{S = r\theta}$

B) $\mathbf{S = r}\mathbf{\theta}^{\mathbf{2}}$

C) $\mathbf{S = r + \theta}$

D) $\mathbf{S =}$ $\frac{\mathbf{r}}{\mathbf{\theta}}$

4 / 36

A wheel of radius $\mathbf{2\ m}$ rotates through an angle of $\mathbf{3\ rad}$. The distance travelled by a point on its edge is:

A) $\mathbf{9\ m}$

B) $\mathbf{5\ m}$

C) $\mathbf{1.5\ m}$

D) $\mathbf{6\ m}$

5 / 36

If a point moves through an arc length equal to the radius of a circle, its angular displacement is:

A) $\mathbf{1\ rad}$

B) $\mathbf{\pi\ rad}$

C) $\mathbf{0\ rad}$

D) $\mathbf{2\pi\ rad}$

6 / 36

A complete revolution corresponds to an angular displacement of:

A) $\mathbf{\pi\ rad}$

B) $\mathbf{2\pi\ rad}$

C) $\mathbf{4\pi\ rad}$

D) $\mathbf{\pi\ /\ 2\ rad}$

7 / 36

A rotating fan completes half a revolution. Its angular displacement is:

A) $\mathbf{2\pi\ rad}$

B) $\mathbf{4\pi\ rad}$

C) $\mathbf{\pi\ /\ 2\ rad}$

D) $\mathbf{\pi\ rad}$

8 / 36

Two points on the same rotating disc have the same:

A) Centripetal acceleration

B) Angular displacement

C) Linear velocity

D) Distance from axis

9 / 36

Angular velocity is defined as:

A) Change in acceleration

B) Rate of change of distance

C) Force per unit mass

D) Rate of change of angular displacement

10 / 36

The formula for angular velocity is:

A) $\mathbf{\omega}\mathbf{=}$ $\frac{\mathbf{r}}{\mathbf{v}}$

B) $\mathbf{\omega}\mathbf{=}$ $\frac{\mathbf{\theta}}{\mathbf{t}}$

C) $\mathbf{\omega}\mathbf{=}$ $\frac{\mathbf{v}}{\mathbf{r}}$

D) $\mathbf{\omega}\mathbf{=}\mathbf{rt}$

11 / 36

The SI unit of angular velocity is:

A) $\mathbf{m/s}$

B) $\mathbf{rad/s}$

C) $\mathbf{rad/s}^{\mathbf{2}}$

D) $\mathbf{m/s}^{\mathbf{2}}$

12 / 36

A wheel rotates through $\mathbf{10}$ radians in $\mathbf{5}$ seconds. Its angular velocity is:

A) $\mathbf{2\ rad/s}$

B) $\mathbf{0.5\ rad/s}$

C) $\mathbf{50\ rad/s}$

D) $\mathbf{5\ rad/s}$

13 / 36

The linear velocity of a point on a rotating body is related to angular velocity by:

A) $\mathbf{v}\mathbf{=}$ $\frac{\mathbf{\omega}}{\mathbf{r}}$

B) $\mathbf{v}\mathbf{=}\mathbf{r}\mathbf{+}\mathbf{\omega}$

C) $\mathbf{v}\mathbf{=}\mathbf{r\omega}$

D) $\mathbf{v}\mathbf{=}\mathbf{r}\mathbf{\omega}^{\mathbf{2}}$

14 / 36

A point farther from the axis of rotation has:

A) Greater linear speed

B) Zero velocity

C) Same velocity always

D) Smaller linear speed

15 / 36

Two points on a rotating disc have equal angular velocity because:

A) Their masses are equal.

B) They have the same radius.

C) They complete rotations together.

D) Their linear speeds are equal.

16 / 36

A wheel completes one revolution in $\mathbf{4}$ seconds. Its angular velocity is:

A) $\mathbf{\pi\ /\ 2\ rad/s}$

B) $\mathbf{2\pi\ rad/s}$

C) $\mathbf{4\pi\ rad/s}$

D) $\mathbf{\pi\ rad/s}$

17 / 36

The time taken for one complete revolution is called:

A) Acceleration

B) Frequency

C) Angular displacement

D) Period

18 / 36

Frequency and period are related by:

A) $\mathbf{f}\mathbf{=}$ $\frac{\mathbf{1}}{\mathbf{T}}$

B) $\mathbf{f}\mathbf{=}$ $\frac{\mathbf{T}}{\mathbf{2}}$

C) $\mathbf{f}\mathbf{=}\mathbf{T}^{\mathbf{2}}$

D) $\mathbf{f}\mathbf{=}\mathbf{T}$

19 / 36

Angular acceleration is:

A) Force divided by mass

B) Rate of change of angular velocity

C) Distance divided by time

D) Rate of change of displacement

20 / 36

If the period of rotation decreases, angular velocity:

A) Decreases

B) Becomes zero

C) Increases

D) Remains unchanged

21 / 36

The SI unit of angular acceleration is:

A) $\mathbf{rad/s}^{\mathbf{2}}$

B) $\mathbf{m/s}$

C) $\mathbf{rad/s}$

D) $\mathbf{m/s}^{\mathbf{2}}$

22 / 36

The formula for angular acceleration is:

A) $\mathbf{\alpha}\mathbf{=}$ $\frac{\mathbf{\Delta}\mathbf{\omega}}{\mathbf{t}}$

B) $\mathbf{\alpha}\mathbf{=}\mathbf{r\omega}$

C) $\mathbf{\alpha}\mathbf{=}$ $\frac{\mathbf{s}}{\mathbf{r}}$

D) $\mathbf{\alpha}\mathbf{=}$ $\frac{\mathbf{v}}{\mathbf{r}}$

23 / 36

A fan increases angular velocity from $\mathbf{5\ rad/s}$ to $\mathbf{15\ rad/s}$ in $\mathbf{5}$ seconds. Its angular acceleration is:

A) $\mathbf{2\ }\mathbf{rad/s}^{\mathbf{2}}$

B) $\mathbf{4\ }\mathbf{rad/s}^{\mathbf{2}}$

C) $\mathbf{3\ }\mathbf{rad/s}^{\mathbf{2}}$

D) $\mathbf{1\ }\mathbf{rad/s}^{\mathbf{2}}$

24 / 36

Centripetal acceleration is directed:

A) Toward the center

B) Along the tangent

C) Away from the center

D) Opposite to velocity

25 / 36

The formula for centripetal acceleration is:

A) $\mathbf{a}\mathbf{=}$ $\frac{\mathbf{r}}{\mathbf{v}^{\mathbf{2}}}$

B) $\mathbf{a}\mathbf{=}\mathbf{v}^{\mathbf{2}}\mathbf{r}$

C) $\mathbf{a}\mathbf{=}\mathbf{r}\mathbf{v}^{\mathbf{2}}$

D) $\mathbf{a}\mathbf{=}$ $\frac{\mathbf{v}^{\mathbf{2}}}{\mathbf{r}}$

26 / 36

If velocity of an object in circular motion doubles, centripetal acceleration becomes:

A) Double

B) Eight times

C) Four times

D) Half

27 / 36

If radius of circular motion increases while velocity remains constant, centripetal acceleration:

A) Decreases

B) Increases

C) Becomes infinite

D) Remains same

28 / 36

A car moving faster on a circular track requires:

A) Zero force

B) Less centripetal acceleration

C) Greater centripetal acceleration

D) No acceleration

29 / 36

The relation between centripetal acceleration and angular velocity is:

A) $\mathbf{a}\mathbf{=}\mathbf{r}\mathbf{\omega}^{\mathbf{2}}$

B) $\mathbf{a}\mathbf{=}\mathbf{r}\mathbf{+}\mathbf{\omega}$

C) $\mathbf{a}\mathbf{=}$ $\frac{\mathbf{r}}{\mathbf{\omega}^{\mathbf{2}}}$

D) $\mathbf{a}\mathbf{=}\mathbf{\omega\ }\mathbf{/\ }\mathbf{r}$

30 / 36

A wheel rotates with angular velocity $\mathbf{4\ rad/s}$ and radius $\mathbf{2\ m}$. Centripetal acceleration is:

A) $\mathbf{8\ }\mathbf{m/s}^{\mathbf{2}}$

B) $\mathbf{64\ }\mathbf{m/s}^{\mathbf{2}}$

C) $\mathbf{16\ }\mathbf{m/s}^{\mathbf{2}}$

D) $\mathbf{32\ }\mathbf{m/s}^{\mathbf{2}}$

31 / 36

A point on the rim of a wheel has radius $\mathbf{0.5\ m}$ and angular velocity $\mathbf{10\ rad/s}$. Its linear velocity is:

A) $\mathbf{10\ m/s}$

B) $\mathbf{5\ m/s}$

C) $\mathbf{25\ m/s}$

D) $\mathbf{20\ m/s}$

32 / 36

A body completes $\mathbf{5}$ revolutions per second. Its angular velocity is:

A) $\mathbf{2\pi\ rad/s}$

B) $\mathbf{5\pi\ rad/s}$

C) $\mathbf{20\pi\ rad/s}$

D) $\mathbf{10\pi\ rad/s}$

33 / 36

Two points on a rotating disc have the same angular velocity but different linear velocities because they have different:

A) Time periods

B) Frequencies

C) Masses

D) Radii

34 / 36

If angular velocity is constant, angular acceleration is:

A) Negative

B) Infinite

C) Maximum

D) Zero

35 / 36

A satellite moving in circular orbit has acceleration because:

A) Gravity disappears.

B) Its direction of velocity changes continuously.

C) Its speed changes continuously.

D) Its mass changes.

36 / 36

Which quantity remains constant for uniform circular motion?

A) Linear velocity direction

B) Angular velocity

C) Acceleration direction

D) Velocity

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