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 23 of 27

  • A. 57.3 degrees
  • B. 47.3 degrees
  • C. 67.5 degrees
  • D. 59.5 degrees

Explanation: As, 1 revolution=2 π rad And, 1 revolution = 360°So, 1 rad= 360°/2π = 57.3°

Correct answer: 57.3 degrees
  • A. 0.01745 m
  • B. 1 m
  • C. 2 m
  • D. None of the options above are correct

Explanation: S = rθ where S is the arc length, r is the radius and θ is the angle in radians.

Correct answer: 0.01745 m
  • A. Degree
  • B. Revolution
  • C. Meters
  • D. Radian

Explanation: Angular displacement is measured in units of radians. Two pi radians equals 360 degrees.

Correct answer: Meters
  • A. 0 radian
  • B. π radian
  • C. 2π radian
  • D. (1/3)π radian

Explanation: The angular displacement of an object after one complete revolution is: 2π radians.

Correct answer: 2π radian
  • A. π
  • B. 3π
  • C. 6π
  • D. 12π

Explanation: The number of revolutions in one second = 360/60This is equal to 6 revolutions in 1 second.

Correct answer: 12π
  • A. πr
  • B. 2πr
  • C. Zero
  • D. 4π

Explanation: Since the body completes two revolutions, it covers an angular displacement equal to two full circles.

Correct answer: 4π
  • A. rad/s2
  • B. rad/s
  • C. rad.s
  • D. rad.s2

Explanation: Option A is correct since angular acceleration is the rate of change of angular velocity of a body and is given by radians/seconds2.

Correct answer: rad/s2
  • A. 24.6 rad/s
  • B. 16.8 rad/s
  • C. 10.4 rad/s
  • D. 18.8 rad/s

Explanation: wi=12×2π rad/s ( To conver rev/s to rad/s, we multiplied the given velocity with 2π) =24π rad/s Δt=4s = 24π/4 =18.8 rad/s

Correct answer: 18.8 rad/s
  • A. 20π /3
  • B. 30π /3
  • C. 40π /3
  • D. 20π /4

Explanation: Explanation for this question will be added soon.

Correct answer: 40π /3
  • A. [LT-1]
  • B. [LT]
  • C. [LT-2]
  • D. [T-1]

Explanation: Angular velocity is defined as the rate of change of angular displacement with respect to time.

Correct answer: [T-1]
  • A. 0.1π rad/s2
  • B. 0.2π rad/s2
  • C. 0.3π rad/s2
  • D. 0.4π rad/s2

Explanation: Angular acceleration=Change in angular velocity/timeω1 = 60 rpm= 60×2π rad/60s = 2π rad/sω2 = 180 rpm= 180×2π rad/60s = 6π rad/s Putting…

Correct answer: 0.2π rad/s2
  • A. Zero
  • B. Negative
  • C. Uniform but not zero
  • D. Positive

Explanation: The angular velocity of a mixer grinder rotating clockwise will be negative.

Correct answer: Negative
  • A. Changing
  • B. The same
  • C. Increasing
  • D. Decreasing

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: The same
  • A. Positive
  • B. Negative
  • C. Zero
  • D. Infinite

Explanation: The rate of change of angular displacement of a body is called angular velocity.

Correct answer: Negative
  • A. 1.4 x 10^-4 rads-1
  • B. 1.0 x 10^-3 rad s-1
  • C. 5.2 x 10^-3 rad s-1
  • D. 1.7 x 10^-3 rad s-1

Explanation: w = 2 π/ 3600s ≈ 0.00174 rad/s The linear velocity of a point on the tip of the 3 metres long minute hand is v = wr v = 3 × 0.00174 rad/s…

Correct answer: 5.2 x 10^-3 rad s-1
  • A. 2
  • B. 1.5
  • C. 2.5
  • D. 0.105

Explanation: One revolution is 360 degrees or 2π rad. Since it's 'Revolution per minute', it would be 2π rad/1 min or 2(3.142)/ 60 seconds; 0.1047…

Correct answer: 0.105
  • A. 2 pie
  • B. pie
  • C. 4 pie
  • D. 7.3X 10 -5rad s-1

Explanation: The angular speed of the daily rotation of the Earth can be calculated by dividing the angle covered in one day by the time taken to cover…

Correct answer: 7.3X 10 -5rad s-1
  • A. 0.5π Hz
  • B. 2π Hz
  • C. 0.5 Hz
  • D. 2 Hz

Explanation: Frequency is number of revolutions per second, so frequency = revolution / time Frequency = 6/3 = 2 Hz

Correct answer: 2 Hz
  • A. 5.24 rad/sec^2
  • B. 6 rad/sec^2
  • C. 10 rad/sec^2
  • D. None of these

Explanation: Angular Acceleration = t, Where = change in angular velocity t = change in time First we convert from rpm rads-1 250 rpm = 250 2 / 60 =…

Correct answer: 5.24 rad/sec^2
  • A. Positive
  • B. Negative
  • C. Zero
  • D. Infinite

Explanation: The direction of angular velocity is determined by right hand rule. According to right hand rule, if you hold the axis with your right…

Correct answer: Positive