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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521 questions · page 24 of 27

  • A. Angular displacement
  • B. Angular acceleration
  • C. Angular frequency
  • D. None of these

Explanation: Angular Velocity is defined as the rate of change of angle with respect to time, leading to the equation 𝜔=Δ𝜃/Δ𝑡, where 𝜃 is the angle…

Correct answer: Angular frequency
  • A. Zero
  • B. Negative
  • C. Infinite
  • D. Linear

Explanation: Angular velocity can be zero when an object is stationary. Angular velocity can be negative when an object is moving clockwise or when the…

Correct answer: Infinite
  • A. Instantaneous velocity
  • B. Rotational velocity
  • C. Tangential velocity
  • D. Linear velocity

Explanation: B. Angular velocity is the rotational analog of velocity. The velocity that keeps a body within a circle during circular motion is known…

Correct answer: Rotational velocity
  • A. π
  • B. 3π
  • C. 6π
  • D. 12π

Explanation: One revolution is equal to 2π radians. Therefore, the angle turned through 1 second is:360 revolutions/minute x 2π radians/revolution x 1…

Correct answer: 12π
  • A. Time period
  • B. Frequency
  • C. Vibration
  • D. None of these

Explanation: Option B is correct since there exists a direct relationship between angular velocity and frequency and it is given by the following…

Correct answer: Frequency
  • A. Angular displacement
  • B. Angular acceleration
  • C. Angular velocity
  • D. Acceleration

Explanation: B. Angular acceleration is the rotational analogue of linear acceleration.

Correct answer: Angular acceleration
  • A. 4 rads^-1
  • B. 5 rads^-1
  • C. 1.6 rads^-1
  • D. 2.8 rads^-1

Explanation: The given data is; Speed, v = 2m/s Radius, r = 0.4m Angular speed, w, is required.

Correct answer: 5 rads^-1
  • A. π rad/s2
  • B. 9π rad/s2
  • C. 8π rad/s2
  • D. None of these

Explanation: Correct Option: A The initial angular velocity (ωi) is given as 900 cycles/min.

Correct answer: π rad/s2
  • A. 1.4 x 10^-4 rads-1
  • B. 1 x 10^-3 rads-1
  • C. 5.2 x 10^-3 rads-1
  • D. 1.7 x 10^-3 rads-1

Explanation: Correct Option:CAngular velocity, time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement…

Correct answer: 5.2 x 10^-3 rads-1
  • A. Positive
  • B. Negative
  • C. Zero
  • D. Infinite

Explanation: By convention, anticlockwise movement is considered positive angular velocity and clockwise rotation is considered negative angular…

Correct answer: Negative
  • A. Positive
  • B. Negative
  • C. Zero
  • D. Infinite

Explanation: By convention, anticlockwise movement is given a positive sign and clockwise rotation is given a negative sign.

Correct answer: Negative
  • A. 3600:1
  • B. 60:1
  • C. 24:1
  • D. 12:1

Explanation: d) 12:1: This option is correct. The ratio of angular speed of the minute hand of the clock to that of its hour hand is 12:1.

Correct answer: 12:1
  • A. Faster than.
  • B. Slower than.
  • C. Equal to.
  • D. None f these.

Explanation: a) Faster than: This option suggests that the cylinder with the larger diameter accelerates at a faster rate than the other cylinder under…

Correct answer: Faster than.
  • A. 16 ms-1
  • B. 4 ms-1
  • C. 10 ms-1
  • D. 6 ms-1

Explanation: Explanation: The linear velocity or tangential velocity (v) of a particle moving in a circular path is given by the product of the radius…

Correct answer: 16 ms-1
  • A. τ = mr2π
  • B. τ = mr2α
  • C. τ = mrα
  • D. τ = mr2 /α

Explanation: Explanation:Torque in circular motion is the rotational equivalent of force in linear motion.

Correct answer: τ = mr2α
  • A. Zero
  • B. Fl
  • C. Fl sin θ
  • D. Fl sin θλ

Explanation: The torque exerted by a force is calculated as the product of the force and the perpendicular distance from the pivot point to the line of…

Correct answer: Zero
  • A. 1/2 mL2
  • B. 1/4 m3L
  • C. 1/12 mL
  • D. 1/12 mL2

Explanation: The moment of inertia of an object is a measure of its resistance to changes in its rotation.

Correct answer: 1/12 mL2
  • A. (OP)(F tanϴ)
  • B. (OP)(F)
  • C. (OP)(F sinϴ)
  • D. (OP)(F cosϴ)

Explanation: Torque is the cross product between the distance vector (the distance from the pivot point to the point where force is applied) and the…

Correct answer: (OP)(F cosϴ)
  • A. 3:4
  • B. 2:3
  • C. 3:2
  • D. 4:3

Explanation: When objects are rotated with constant angular acceleration, the ratio of torques is directly proportional to the ratio of moments of…

Correct answer: 2:3
  • A. Half
  • B. Three-times
  • C. Two-times
  • D. Four-times

Explanation: A moment arm is basically defined as the length between a joint axis and the line of force acting on that joint.

Correct answer: Two-times