Free Rotational and Circular Motion MCQs with Answers

• A. A.degree
• B. radian
• C. revolution
• D. Steradian

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

• 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.

• 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.

• 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…

• A. pi/60 rad/s
• B. pi/24
• C. pi/3600
• D. pi/360

Explanation: The minute hand of a clock completes one revolution in 60 minutes, which is equivalent to 3600 seconds.

• A. Each point on its rim moves with constant velocity.
• B. Each point on its rim moves with constant acceleration
• C. The angle through which the wheel turns in each second decreases as time goes on.
• D. The wheel turns through equal angles in equal times.

Explanation: When a wheel turns with constant angular speed, each point on its rim travels through the same angle in equal intervals of time.

• A. 30 rad/s²
• B. 3.14 rad/s²
• C. 30 rev/s²
• D. 500 rev/s²

Explanation: Formula for average angular acceleration: As before, we use the formula:α = (ω₂ - ω₁)/(t₂ - t₁)Converting RPM to rad/s: 300 rev/min is…

• A. T=rV
• B. T=2pi/omega
• C. T=2pi
• D. T= omega

Explanation: Therefore, the formula T = 2 ( Tag : Circular Motion and momentum Sub-tag: pi ( Tag : Circular Motion and momentum Sub-tag: omega…

• A. pi/6
• B. pi/4
• C. pi/2
• D. pi/8

Explanation: The hour's hand completes one revolution in 12 hours

• A. 4 rad/s
• B. 5 rad/s
• C. 1.5 rad/s
• D. 2.8 rad/s

Explanation: Reason: The angular speed ( omega ) is related to linear speed ( v ) by the equation omega = v/r.

• A. pi
• B. pi/2
• C. pi/30
• D. pi/180

Explanation: The second's hand completes one full revolution (2π radians) in 60 seconds, so the angular speed is 2

• A. π/6
• B. π/4
• C. π/12
• D. π/8

Explanation: The hour hand of a clock completes one full revolution (2π radians) in 12 hours.

• A. Radian
• B. Radian per second
• C. Radian per second2
• D. None

Explanation: Angular acceleration (α) is the rate of change of angular velocity (ω) with respect to time (t):The formula for angular acceleration is…

• A. when a body is rotating
• B. when velocity of body is in straight line
• C. when velocity is in straight line
• D. none of these

Explanation: Angular velocity: Angular velocity is a specific measure of rotational motion.

• A. When body is rotating.
• B. When velocity of body is in a straight line.
• C. When velocity is in a straight line.
• D. None

Explanation: Angular velocity is particularly useful when dealing with rotational motion. It describes how fast an object rotates about an axis.

• A. 16 rad/s
• B. 22 rad/s
• C. 32 rad/s
• D. 250 rad/s

Explanation: Angular displacement θ = 10 rev = 20π ≈ 62.832 rad. Use ω² = 0² + 2αθ ⇒ ω = √(2·4·62.832) ≈ √502.66 ≈ 22.4 rad/s.

• A. π/3 radian hour-1
• B. π/6 radian hour-1
• C. π/12 radian hour-1
• D. 12π radian hour-1

Explanation: Earth rotates 2π radians in 24 hours, so ω = 2π/24 = π/12 rad per hour.

• A. m1:m2
• B. 1:1
• C. r1:r2
• D. m1r1:m2r2

Explanation: If both complete a revolution in the same time, their angular speeds ω = 2π/T are equal.

• A. Along linear velocity
• B. Towards the center
• C. Along the axis of rotation
• D. Away from center

Explanation: Angular velocity is an axial vector, directed along the axis of rotation according to the right‑hand rule.

• A. 2π
• B. π
• C. 1/2π
• D. π/2

Explanation: Angular frequency ω relates to ordinary frequency f by ω = 2πf, so the ratio ω/f = 2π. Thus option A is correct.