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 17 of 27
- A. 30 rad/s2
- B. 30 rev/s2
- C. 3.14 rad/s2
- D. 500 rev/s2
Explanation: 300 rev/min = 5 rev/s ⇒ ω = 5×2π = 10π rad/s. Average α = Δω/Δt = (10π − 0)/10 = π rad/s² ≈ 3.14 rad/s².
Correct answer: 3.14 rad/s2322. When a body moves in a circle, the angle between its velocity v and angular velocity ω is always:
- A. 0°
- B. 180°
- C. 360°
- D. 90°
Explanation: The linear velocity is tangential while angular velocity is axial (perpendicular to the plane of motion).
Correct answer: 90°323. rev/min is equal to:
- A. π/6 rad s -1
- B. π/16 rad s -1
- C. π/20 rad s -1
- D. π/30 rad s -1
Explanation: The answer can be calculated as:1rev=2π1min=60srev/min=2π /60s =π /30.
Correct answer: π/30 rad s -1- A. 1.4 x 10^-4 rads-1
- B. 5.2 x 10^-3 rads-1
- C. 1.7 x 10^-3 rads-1
- D. 1.0 x 10^-1 rads-1
Explanation: The minute hand completes 1 revolution in 60 minutes = 3600 seconds. One revolution = 2π radians.
Correct answer: 1.7 x 10^-3 rads-1- A. Zero
- B. 90
- C. 1
- D. -1
Explanation: Torque will be zero because the force on the object is zero, since it is not accelerating.
Correct answer: Zero326. The ratio of angular speed of moon around the Earth to its angular speed about its own axis is:
- A. 2:1
- B. 1:6
- C. 1:30
- D. 1:1
Explanation: The moon orbits the Earth once every 27.322 days. In the same amount of time, the moon rotates once on its axis.
Correct answer: 1:1- A. 1 rad/s2
- B. 3 rad/s2
- C. 5 rad/s2
- D. 7 rad/s2
- E. 9 rad/s2
Explanation: The angular acceleration of a rotating object can be found using the formula α = (ωf - ωi) / t, where ωf is the final angular velocity, ωi…
Correct answer: 1 rad/s2- A. Speed
- B. Frequency
- C. Distance
- D. Time
- E. Gravity
Explanation: Angular acceleration is defined as the rate of change of angular velocity with respect to time.
Correct answer: Time- A. 𝝅 rad/s2
- B. 9 𝝅 rad/s2
- C. 8 𝝅 rad/s2
- D. ⅔ 𝝅rad / s2
- E. Insufficient data
Explanation: This is the following solution.First, we need to convert the given angular velocities from cycles per minute to radians per second.
Correct answer: 𝝅 rad/s2- A. Change in angular displacement/change in time
- B. Change in displacement/change in time
- C. Change in speed/change in time
- D. Change in acceleration/change in time
Explanation: OPTION A:Angular velocity=Change in angular displacement/Change in timeHence, A is the correct option.OPTION B: Linear velocity=Change in…
Correct answer: Change in angular displacement/change in time- A. Change in angular rotation / change in time
- B. Change in displacement / change in time
- C. Change in speed / change in time
- D. Change in acceleration / change in time
Explanation: Angular velocity is the time rate at which an object rotates or revolves about an axis.
Correct answer: Change in angular rotation / change in time- A. momentum
- B. Angular velocity
- C. Acceleration
- D. Radius vector
Explanation: When an object moves along a circle at constant speed, v, its angular velocity about the circle's center is also constant, and the object…
Correct answer: Angular velocity- A. time period
- B. frequency
- C. vibration
- D. none of these
Explanation: There exists an important relationship between angular velocity and frequency and it is given by the following formula;angular velocity is…
Correct answer: frequency- A. zero
- B. negative
- C. infinite
- D. linear
- E. C and D
Explanation: Angular velocity cannot be infinite because it defies physical laws and is not achievable in practice, making option C correct.
Correct answer: C and D- A. 67 rad/s2
- B. 46 rad/s2
- C. 36 rad/s2
- D. 16 rad/s2
- E. 6 rad/s2
Explanation: Average angular acceleration = final angular acceleration - initial angular acceleration/timeAverage angular acceleration=(5 rad/s-2…
Correct answer: 6 rad/s2- A. 2π
- B. π
- C. 4π
- D. 7.3 x 10^-5 rad s-1
Explanation: The following snippet shows the solution.
Correct answer: 7.3 x 10^-5 rad s-1- A. 20%
- B. 25%
- C. 125%
- D. 56%
Explanation: K.E. = ½ I ω² ⇒ K.E. ∝ ω²K.E.i ∝(4)²= 16ω²K.E.f ∝(5)²= 25ω²% increase in K.E.
Correct answer: 56%- A. 42300 rad/sec
- B. 1200 rad/sec
- C. 10/4200 rad/sec
- D. 44 rad/sec
Explanation: The following is the solution:The formula for angular speed is given by:ω = 2πfwhere ω is the angular speed, and f is the frequency of…
Correct answer: 44 rad/sec- A. 6:1
- B. 12:1
- C. 1:12
- D. 1:6
Explanation: The following is the solution:The minute hand of a watch completes one full rotation (360 degrees) in 60 minutes, while the hour hand…
Correct answer: 12:1- A. 1.66rad/s
- B. 10.47rad/s
- C. 10.47deg/s
- D. 60deg/s
Explanation: The following is the solution:The angular velocity of the particle rotating in a circular orbit 100 times per minute is:ω = 2πfwhere f is…
Correct answer: 10.47rad/s