Free Angular Displacement MCQs with Answers
94 Angular Displacement MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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- A. equal to the radius
- B. equal to the diameter
- C. equal to the circumference
- D. one metre
Explanation: Since the arc length equals the radius times the angle in radians, an arc of one radius length subtends exactly one radian, about 57.3…
Correct answer: equal to the radius- A. pi over 2
- B. pi
- C. 2 pi
- D. 3 pi over 2
Explanation: A complete revolution of 360 degrees is 2 pi radians, so half a revolution is pi radians, roughly 3.14.
Correct answer: pi- A. metres
- B. radians
- C. metres per second
- D. newtons
Explanation: The radian is the SI unit of angle, and because it is defined as a ratio of two lengths it is dimensionless, which is why the formula v…
Correct answer: radians- A. One-fourth revolution
- B. One-third revolution
- C. One half revolution
- D. One complete revolution
Explanation: A full revolution is 360 degrees, so 90 degrees is a quarter of it, equivalent to pi over 2 radians.
Correct answer: One-fourth revolution- A. light year
- B. radian
- C. angstrom
- D. micron
Explanation: A light year, angstrom and micron are units of length: approximately 9.46 × 10^15 m, 10^-10 m and 10^-6 m respectively.
Correct answer: radian- A. Vibratory motion
- B. Linear motion
- C. Rotatory motion
- D. Angular motion
Explanation: When motion is described by the angle swept out in a given time, the relevant quantity is angular motion, or angular displacement per time…
Correct answer: Angular motion- A. π /3 x r
- B. π/6 x r
- C. V/30 x r
- D. π / 180 x r
Explanation: The arc distance travelled by a point on the rim is s = rθ, with θ measured in radians. Since 30° = 30π/180 = π/6 rad, s = r × π/6 = πr/6.
Correct answer: π/6 x r- A. π radian
- B. 2π radian
- C. π/2 radian
- D. 4π radian
Explanation: One complete turn covers the full circumference and corresponds to an angular displacement of 2π radians.
Correct answer: 2π radian- A. 67.3°
- B. 57.3°
- C. 87.3°
- D. 60°
Explanation: One radian is the angle subtended when the arc length equals the radius, and its degree measure is 180°/π = 57.3°.
Correct answer: 57.3°- A. Plane angle
- B. Solid angle
- C. Both plane angle and solid angle
- D. Neither plane angle nor solid angle
Explanation: A steradian measures a solid angle, defined by the area cut out on a sphere divided by the square of its radius.
Correct answer: Solid angle- A. π radian
- B. 2 π radian
- C. π /2 radian
- D. 4 π radian
Explanation: This option is correct. As explained above, an entire circle's circumference covers 2π radians at the center.
Correct answer: 2 π radian- A. pi
- B. 2pi
- C. 4pi
- D. zero
Explanation: The angular displacement \( \theta \) is related to the number of revolutions (\( n \)) by the equation theta = 2
Correct answer: 4pi- A. 1 rad
- B. 1 degree
- C. 1 revolution
- D. All
Explanation: An arc equal to the radius subtends an angle of 1 radian, 1 degree, and 1 revolution
Correct answer: All- A. 1 radian
- B. One degree
- C. 1 revolution
- D. All
Explanation: An angle of 1 radian subtends an arc on a circle that is equal in length to the radius of the circle.
Correct answer: 1 radian- A. 1 radian
- B. 2 radians
- C. 4 radians
- D. 2*pi radians
Explanation: The formula for calculating the angle subtended by an arc in radians is given by θ=s/r , where s is the length of the arc and r is the…
Correct answer: 2*pi radians- A. 600
- B. 1500
- C. 1000
- D. 2000
Explanation: The angular acceleration of the wheel is α=Δω/Δt =300rps/10s −10rps =20rps^2.
Correct answer: 2000- A. scalar
- B. vector
- C. neither scalar nor vector
- D. None
Explanation: As explained above, angular displacement requires both magnitude and direction, making it a vector quantity.
Correct answer: vector- A. clockwise
- B. anti-clockwise
- C. parallel
- D. perpendicular
Explanation: For a positive angular displacement, the rotation would be anti-clockwise.
Correct answer: anti-clockwise- A. 180/π
- B. π/180
- C. 2π/180
- D. π/57.3
Explanation: 180° = π radians, so 1° = π/180 radians. This standard conversion gives option B.
Correct answer: π/180- A. 50 rad
- B. 75 rad
- C. 150 rad
- D. 314 rad
Explanation: Radius = 20 m, circumference ≈ 2πr ≈ 125.66 m. Number of revolutions ≈ 3000/125.66 ≈ 23.88 ≈ 24.
Correct answer: 150 radAngular Displacement MCQs: common questions
Are these Angular Displacement MCQs free?
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There are 94 Angular Displacement MCQs in the Physics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Angular Displacement MCQ have an explanation?
Yes. Each Angular Displacement question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Angular Displacement test?
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