Kinematics of Circular Motion questions with solutions

Showing 1–10 of 86 questions

• MCQmediumCircular MotionKinematics of Circular Motion

  A particle moves such that its position vector is r = a cos(ωt)$\hat{i}$+ a sin(ωt)$\hat{j}$, where ω is constant. Which statement is true?

  Options

  • Option A

    Velocity and acceleration are both parallel to r.

  • Option B

    Velocity is perpendicular to r and acceleration is directed towards the origin.

  • Option C

    Velocity is perpendicular to r and acceleration is directed away from the origin.

  • Option D

    Velocity and acceleration are both perpendicular to r.

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• MCQeasyCircular MotionKinematics of Circular Motion

  The angular position of a particle moving in a circular path is θ = (5t⁴ /40)-(t³ /3), where θ is in radians and t is in seconds. What is its angular acceleration at t = 10 s?

  Options

  • Option A

    150 rad·s⁻²

  • Option B

    120 rad·s⁻²

  • Option C

    130 rad·s⁻²

  • Option D

    170 rad·s⁻²

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• MCQeasyCircular MotionKinematics of Circular Motion

  Two particles start from the same point on a circular track and move in opposite directions with angular speeds 4 rad/s and 6 rad/s. Their first meeting after start occurs after:

  Options

  • Option A

    π/10 s

  • Option B

    π/5 s

  • Option C

    2π/5 s

  • Option D

    π/2 s

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• MCQmediumCircular MotionKinematics of Circular Motion

  For the particle moving on a circle of radius 2 m with v² = 4 + 8s, the magnitude of net acceleration at s = 1 m is:

  Options

  • Option A

    2√10 m/s²

  • Option B

    2√13 m/s²

  • Option C

    2√17 m/s²

  • Option D

    4√10 m/s²

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• Multi-correctmediumCircular MotionKinematics of Circular Motion

  Let v⃗(t) be the velocity of a particle. Which statements are correct?

  Select all that apply

  • Option A

    |dv⃗/dt| and d|v⃗|/dt are always equal

  • Option B

    |dv⃗/dt| and d|v⃗|/dt may be equal

  • Option C

    d|v⃗|/dt can be zero while |dv⃗/dt| is nonzero

  • Option D

    d|v⃗|/dt≠0 implies |dv⃗/dt|≠0

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• NumericmediumCircular MotionKinematics of Circular Motion

  A particle starts from rest in non-uniform circular motion. Its angular acceleration α versus angular displacement θ is the straight-line graph shown, decreasing from 9 rad/s² at θ=0 to 0 at θ=4 rad. If angular speed at θ=4 rad is ω, find ω.

  

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• NumericeasyCircular MotionKinematics of Circular Motion

  A particle starts from rest on a circle with constant angular acceleration α = 2 rad/s². After an angular displacement of 2 rad, if ω² = N, find N.

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• NumericmediumCircular MotionKinematics of Circular Motion

  A stone tied to 180 cm long string at its end is making 28 revolutions in a horizontal circle every minute. The magnitude of acceleration of stone is 1936/x m s⁻². The value of x is ______. [Take π = 22/7]

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• NumericmediumCircular MotionKinematics of Circular Motion

  A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one instant it is rotating at 12 rad/s and after 80 radian of more angular displacement, its angular speed becomes 28 rad/s. How much time (seconds) does the disk takes to complete the mentioned angular displacement of 80 radians.

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• MCQmediumCircular MotionKinematics of Circular Motion

  A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly (Take π = 3.14) :

  Options

  • Option A

    139.4

  • Option B

    140.5

  • Option C

    220.0

  • Option D

    118.9

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