Free Angular Velocity MCQs with Answers

105 Angular Velocity 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 velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.

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105 questions · page 2 of 6

  • 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.

Correct answer: π/6
  • 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…

Correct answer: Radian per second2
  • 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.

Correct answer: when a body is rotating
  • 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.

Correct answer: When body is rotating.
  • 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.

Correct answer: 22 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.

Correct answer: π/12 radian hour-1
  • 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.

Correct answer: Along the axis of rotation
  • 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.

Correct answer: 2π
  • 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/s2
  • 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°
  • 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: Zero
  • 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