Angular Displacement

Angular Displacement MDCAT MCQs with answers

29 past paper MCQs on Angular Displacement, from the Rotational and Circular Motion unit of MDCAT Physics. The year each question appeared is shown where known; tap “Show answer” for the correct option and a short solution.

Read the notes first Practise the unit as a quiz

1.The number of revolutions in $3\pi$ radians is: (MDCAT 2022)

  1. $1/60$
  2. $3/2$
  3. 3
  4. 6
Show answer

Correct answer: (b) $3/2$

One revolution is $2\pi$ radians, so $3\pi/2\pi=1.5$ revolutions.

2.One degree is equal to: (MDCAT 2023)

  1. $\pi/90$ radians
  2. $\pi/180$ radians
  3. $\pi/270$ radians
  4. $\pi/360$ radians
Show answer

Correct answer: (b) $\pi/180$ radians

A half turn is $\pi$ radians and $180^\circ$, so $1^\circ=\pi/180$ radians.

3.One radian is analogous to: (MDCAT 2023)

  1. $57.3^\circ$
  2. $57.3$ radians
  3. $1^\circ$
  4. $180^\circ$
Show answer

Correct answer: (a) $57.3^\circ$

$1\ \mathrm{rad}=180^\circ/\pi=57.3^\circ$.

4.An angular displacement of 90° is equal to: (UHS MDCAT 2025)

  1. One-fourth revolution
  2. One- third revolution
  3. One half revolution
  4. One complete revolution
Show answer

Correct answer: (a) One-fourth revolution

One revolution is $360^{\circ}$, so $90^{\circ}$ is a quarter of it.

5.The angle formed at the center of a circle as a body moves from one position to another is: (SIBA MDCAT 2025)

  1. Angular displacement
  2. Angular velocity
  3. Angular acceleration
  4. Angular momentum
Show answer

Correct answer: (a) Angular displacement

The angle swept at the centre is the angular displacement.

6.A body moving in a circle, half revolution in terms of radians is equivalent to: (SIBA MDCAT 2025)

  1. π
  2. π/6
  3. π/2
  4. 2π
Show answer

Correct answer: (a) π

A whole revolution is $2\pi$ radians, so half of one is $\pi$.

7.The true statement about angular displacement is: (SZABMU MDCAT 2025)

  1. It always increases with time
  2. It is treated as vector for small rotations
  3. It is always a scalar quantity
  4. It is measured in meters
Show answer

Correct answer: (b) It is treated as vector for small rotations

Only for small rotations does angular displacement obey the commutative law of vector addition.

8.π radians are equivalent to (SZABMU MDCAT 2025)

  1. 30°
  2. 270°
  3. 90°
  4. 180°
Show answer

Correct answer: (d) 180°

A half revolution is $\pi$ radians, that is $180^{\circ}$.

9.A wheel makes 3 complete revolutions. What is the total number of radians through which a point on wheel has rotated? (KMU MDCAT 2024)

  1. 2π
  2. 3π
  3. 6π
  4. 9π
Show answer

Correct answer: (c) 6π

Each revolution is $2\pi$ radians, so three of them are $6\pi$.

10.For rigid body that rotates about a fixed axis, the angle swept out by a line passing through any point on the body and intersecting the axis of rotation perpendicularly is called? (KMU MDCAT 2024)

  1. Angular acceleration
  2. Angular displacement
  3. Angular momentum
  4. Angular velocity
Show answer

Correct answer: (b) Angular displacement

That angle is the angular displacement of the body.

11.Sara goes around a circular track of diameter 20m for distance 180m. Angular displacement is: (NUMS MDCAT 2024)

  1. 16 radians
  2. 18 radians
  3. 50 radians
  4. 8 radians
Show answer

Correct answer: (b) 18 radians

$\theta=s/r=180/10$, which is $18$ radians.

12.To find the direction of angular displacement, use: (NUMS MDCAT 2024)

  1. Grasp axis of rotation in right hand
  2. Grasp axis of rotation in left hand
  3. Put thumb of right hand in direction of circular motion
  4. Put thumb of left hand in direction of circular motion
Show answer

Correct answer: (a) Grasp axis of rotation in right hand

Grasp the axis in the right hand with the fingers along the turn, and the thumb gives the direction.

13.For anti-clockwise rotation the angular displacement is: (NUMS MDCAT 2024)

  1. Negative
  2. Positive
  3. Null
  4. Zero
Show answer

Correct answer: (b) Positive

An anticlockwise rotation is taken as positive, with its vector out of the page.

14.How many degrees in 2π/5 radians? (NUMS MDCAT 2024)

  1. 80°
  2. 50°
  3. 72°
  4. 20°
Show answer

Correct answer: (c) 72°

$\pi$ radians is $180^{\circ}$, so $2\pi/5$ is $72^{\circ}$.

15.The number of revolutions in 3π radians is: (UHS MDCAT 2023)

  1. 1/60
  2. 3/2
  3. 2
  4. 6
Show answer

Correct answer: (b) 3/2

One revolution is $2\pi$ radians, so $3\pi$ is one and a half.

16.How many radians are in one degree? (SZABMU MDCAT 2023)

  1. 0.0174 rad
  2. 0.174 rad
  3. 1.745 rad
  4. 0.00174 rad
Show answer

Correct answer: (a) 0.0174 rad

$\pi/180$ is about $0.0174$ radians.

17.The relation between radian and degree is: (NUMS MDCAT 2023)

  1. 1 rad = 57.3°
  2. 1° = 57.3 rad
  3. 1 rad = 1°
  4. 1° = π rad
Show answer

Correct answer: (a) 1 rad = 57.3°

One radian is $180/\pi$ degrees, about $57.3^{\circ}$.

18.Angular displacement becomes linear for ____ arc lengths: (PMC MDCAT 2022)

  1. Short
  2. Circular
  3. Curved
  4. Large
Show answer

Correct answer: (a) Short

Only for a small arc does the angular displacement behave as a vector along the axis.

19.The direction associated with angular displacement is given by : (PMC MDCAT 2022)

  1. Left-hand rule
  2. Head to tail rule
  3. Right-hand rule
  4. Fleming's rule
Show answer

Correct answer: (c) Right-hand rule

Curl the fingers of the right hand along the rotation and the thumb gives the direction.

20.Earth’s rotation in 24 hours covers ___ angle: (PMC MDCAT 2022)

  1. 90
  2. 60
  3. 57.3
  4. 360
Show answer

Correct answer: (d) 360

A full rotation is $360^{\circ}$.

21.One complete revolution of an object covers _____ angle in degrees (PMC MDCAT 2022)

  1. 180
  2. 90
  3. 360
  4. 270
Show answer

Correct answer: (c) 360

A full revolution is $360^{\circ}$.

22.During multiple revolutions, the centre of rotation is ____ (PMC MDCAT 2022)

  1. Fixed
  2. Not fixed
  3. May depend on condition of rotation
  4. There is no centre in angular motion
Show answer

Correct answer: (a) Fixed

A body in circular motion turns about an axis that stays where it is.

23.The quantity used in angular measurement is: (PMC MDCAT 2022)

  1. Perimeter
  2. Area
  3. Circumference
  4. Volume
Show answer

Correct answer: (c) Circumference

The angle in radians is the arc divided by the radius, and the whole circumference gives $2\pi$.

24.Radian can be used to measure: (PMC MDCAT 2022)

  1. length of line
  2. Diameter of circle
  3. side of traingle
  4. arc length
Show answer

Correct answer: (d) arc length

The angle in radians is the arc divided by the radius, so it measures arc length.

25.1 radian = (NUMS MDCAT 2022)

  1. 5.7°
  2. 73.5°
  3. 57.3°
  4. 37.5°
Show answer

Correct answer: (c) 57.3°

One radian is $180/\pi$ degrees, about $57.3^{\circ}$.

26.The angular displacement of an object after one complete revolution is: (PMC Practice 2021)

  1. 0 radian
  2. π radian
  3. 2π radian
  4. (1 /3)xπradian
Show answer

Correct answer: (c) 2π radian

One revolution is $2\pi$ radians.

27.If r= 1m and θ = 1° then what is the value of S? (PMC Practice 2021)

  1. 0.01745 m
  2. 1 m
  3. 2 m
  4. None of the options above are correct
Show answer

Correct answer: (a) 0.01745 m

$s=r\theta$ with $\theta$ in radians, and $1^{\circ}$ is $0.01745\,\mathrm{rad}$.

28.1 radian is equal to: (PMC MDCAT 2020)

  1. 57.1 degrees
  2. 57.2 degrees
  3. 57.3 degrees
  4. 57.4 degrees
Show answer

Correct answer: (c) 57.3 degrees

One radian is $180/\pi$ degrees, about $57.3^{\circ}$.

29.An object is moving along a circular path of radius 4m. What will be its angular displacement if it moves 14 m on this circular path? (UHS MDCAT 2019)

  1. 5.0 radians
  2. 3.5 radians
  3. 4.5 radians
  4. 5.5 radians
Show answer

Correct answer: (b) 3.5 radians

$\theta=s/r=14/4$, that is $3.5$ radians.

More in Rotational and Circular Motion