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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94 questions · page 3 of 5

  • A. πr
  • B. 2πr
  • C. Zero
  • D. 4πr

Explanation: When a body completes two full revolutions in a circular path, it means it has moved around the entire circumference of the circle twice.

Correct answer: 4πr
  • A. π/3r
  • B. πr/6
  • C. π/30r
  • D. π/180r

Explanation: Circumference of the circle is 2πr. According to the formula, Arc length = (angle/360°) x 2πr. The angle is 30°.

Correct answer: πr/6
  • A. 1:π
  • B. π:1
  • C. 2:π
  • D. π:2

Explanation: Since the diameter of the circle is unknown, we can assume it to be 2r, where 'r' is the radius of the circle.

Correct answer: 1:π
  • A. 600rad
  • B. 300rad
  • C. 75rad
  • D. 150rad

Explanation: The correct answer is Option D: 150rad.Initial angular speed, ω0 =0 rad/sFinal angular speed, ω=60 rad/sTime taken, t=5sFrom…

Correct answer: 150rad
  • A. 1 rad
  • B. One degree
  • C. 1 Revolution
  • D. All of these

Explanation: The correct answer is option A: 1 rad. One radian is defined as the angle subtended by an arc of length equal to the radius of the circle.

Correct answer: 1 rad
  • A. 2
  • B. 3
  • C. 3/2
  • D. 1/2

Explanation: In 3π radians, there are 1.5 revolutions. This is calculated by dividing 3π by 2π, as one revolution is equal to 2π radians.

Correct answer: 3/2
  • A. πr
  • B. 2πr
  • C. Zero
  • D. 4πr

Explanation: Explanation is given below:When a body completes two full revolutions in a circular path, it means it has moved around the entire…

Correct answer: 4πr
  • A. Negative
  • B. Positive
  • C. Null
  • D. Zero

Explanation: For anti-clockwise (or counter-clockwise) rotation, the angular displacement is considered positive.

Correct answer: Positive
  • A. 72°
  • B. 80°
  • C. 50°
  • D. 90°

Explanation: A full circle is 2π radians, which is equal to 360 degrees. Therefore, to convert radians to degrees, you can use the following…

Correct answer: 72°
  • A. A.degree
  • B. radian
  • C. revolution
  • D. Steradian

Explanation: Radian(rad) is the SI unit of angular displacement.

Correct answer: radian
  • A. 180/π
  • B. π/180
  • C. 2π/180
  • D. π/57.3

Explanation: One radian is equal to 180/π degrees. Thus, to convert from radians to degrees, multiply by 180/π, hence option B is correct one.

Correct answer: π/180
  • A. Degree
  • B. Revolutions
  • C. Radians
  • D. All

Explanation: Angular displacement can be measured in:a. Degrees (°): A unit of measurement for angles, where 360° represents a full circle.b.

Correct answer: All
  • A. 0o
  • B. 30o
  • C. 60o
  • D. 90o

Explanation: The torque is given by the formula τ = rF sin(θ), where τ is the torque, r is the lever arm, F is the force, and θ is the angle between…

Correct answer: 0o
  • A. 40.8 radians
  • B. 4 radians
  • C. 3 radians
  • D. 36 radians

Explanation: Option A is correct since the formula for angular displacement is no of revolutions * 2pi. So 6.5 * 2pi would be equal to 40.8 radians.

Correct answer: 40.8 radians
  • A. 0.1 radian
  • B. 0.15 radian
  • C. 0.0175 radian
  • D. 0.275 radian

Explanation: 2π rad = 360 degrees 1 degree = 2π/360 = 0.0175

Correct answer: 0.0175 radian
  • A. 1/2 radian
  • B. 2 radian
  • C. 3 radian
  • D. 2/3 radian

Explanation: Angular Displacement =s/r s=2 and r=1 so angular displacement = 2

Correct answer: 2 radian

57. 1 radian =

  • A. 53.70
  • B. 73.50
  • C. 57.30
  • D. 37.5°

Explanation: When converted from 1 radian to degrees, we have 1 radian equal to 57.296 degrees.

Correct answer: 57.30
  • A. 1 rad = 53.7o
  • B. 1 radian = 57.3°
  • C. 1 rad = 1o
  • D. 1° = π rad

Explanation: 1 radian is approximately equal to 57.3 degrees. This is the conversion factor between radians and degrees.

Correct answer: 1 radian = 57.3°
  • A. pi/3
  • B. pi/2
  • C. 2pi
  • D. 2pi/3

Explanation: We know that60 mins= 60×60 secs=3600 secondsHence , Using above calculations, The answer is 3600"

Correct answer: 2pi/3
  • A. Its displacement is constant
  • B. Its displacement changes due to change in distance
  • C. Its displacement changes due to change in direction of motion
  • D. Its displacement is always zero

Explanation: Displacement in a closed path is always zero.

Correct answer: Its displacement is always zero