Free Rotational and Circular Motion MCQs with Answers
521 Rotational and Circular Motion 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 and angular velocity describe rotation, with angles measured in radians and related to time through angular speed. The connection between angular and linear quantities includes arc length, tangential speed and centripetal acceleration, so circular motion is not confused with motion at constant velocity.
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Read the Rotational and Circular Motion notesFree MDCAT chapter notes with key terms521 questions · page 14 of 27
- A. Speed
- B. Acceleration
- C. Velocity
- D. Momentum
Explanation: This is correct because although direction changes, the magnitude of speed remains constant in uniform circular motion.
Correct answer: Speed- 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 rad- A. 57.1°
- B. 57.2°
- C. 57.3°
- D. 57.4°
Explanation: 1 radian = (180/π)° ≈ 57.2958°, commonly rounded of to 57.3°.
Correct answer: 57.3°- A. Clockwise
- B. Anti-clockwise
- C. Parallel
- D. Perpendicular
Explanation: For positive angular displacement, the rotation is counterclockwise because it follows the standard convention where counterclockwise…
Correct answer: Anti-clockwise- A. π
- B. 6π
- C. 3π
- D. 12π
Explanation: 360 rev/min = 6 rev/s. In one second the shaft turns 6 revolutions → angle = 6×2π = 12π radians.
Correct answer: 12π- A. 5.5 radians
- B. 5.0 radians
- C. 3.5 radians
- D. 4.5 radians
Explanation: Angular displacement θ = arc length S divided by radius r: θ = 14 / 4 = 3.5 rad.
Correct answer: 3.5 radians- A. 4 rad
- B. 9 rad
- C. 12 rad
- D. 7 rad
Explanation: V = u + at6 = 0 + 2tt = 3 secondsØ = ut + 1/2at2Ø = 0 + 1/2 • 2 • 3²Ø = 9 radian.
Correct answer: 9 rad- A. 2π radian
- B. 3 radian
- C. 5 radian
- D. 9 radian
Explanation: There are 2π radians in a full circle. So 2π radians should equal 360°.
Correct answer: 2π radian- A. 360
- B. 180
- C. 100
- D. 57.3
- E. 1.01745
Explanation: Radian is the SI unit of measuring angles. It is the measure of the central angle whose arc length is the same as the radius of the…
Correct answer: 57.3- A. 6.5 m
- B. 7 m
- C. 7.5 m
- D. 1.75 m
Explanation: The linear displacement of a body moving along a circular path can be determined using the formula:Linear Displacement = 2 × Radius ×…
Correct answer: 7 m- A. angle =0
- B. v=0
- C. r=0
- D. both b and c
Explanation: Arc length (s) is found by the formula = S = radius x angular displacement,so, angular displacement = arc length / radius; it can only be…
Correct answer: angle =0