kinematics of circular motion questions with solutions

Showing 1–10 of 45 questions

• Multi-correctmediumCircular Motionkinematics of circular motion

  At a particular instant in circular motion, ω = 0 but α ≠ 0. Which statements are correct at that instant?

  Select all that apply

  • Option A

    Speed is zero

  • Option B

    Radial acceleration is zero

  • Option C

    Tangential acceleration is non-zero

  • Option D

    Total acceleration must be zero

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• Multi-correctmediumCircular Motionkinematics of circular motion

  A particle moves on a circle of fixed radius R. At an instant its net acceleration makes an angle 45° with the inward radial direction. Which statements are correct?

  Select all that apply

  • Option A

    |aₜ| = $a_c$

  • Option B

    |α| = ω²

  • Option C

    |dv/dt| = v²/R

  • Option D

    Speed must be increasing

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• NumericmediumCircular Motionkinematics of circular motion

  A particle moves on a circle with angular speed ω = 2t². At t = 1 s, the net acceleration makes an angle φ with the inward radial direction. If tanφ = N, find N.

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• NumericmediumCircular Motionkinematics of circular motion

  A particle moves on a circle of radius 5 m. At an instant its speed is 10 m/s and dv/dt = 2 m/s². If the magnitude of acceleration is 2√N m/s², find N.

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• MCQeasyCircular Motionkinematics of circular motion

  A wheel starts from rest and rotates with uniform angular acceleration about its fixed axis. During the first 2 s it turns through an angle θ₁. During the next 2 s, from t = 2 s to t = 4 s, it turns through an angle θ₂. What is the ratio θ₂ / θ₁?

  Options

  • Option A

    6

  • Option B

    3

  • Option C

    4

  • Option D

    1 /3

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• NumericmediumCircular Motionkinematics of circular motion

  The angular speed of a particle varies with angular position according to ω² = 4 + 6θ. If the angular acceleration is N rad/s², find N.

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• A/ReasyCircular Motionkinematics of circular motion

  Evaluate the following statements.

  Assertion

  Assertion (A): A particle can have zero angular velocity but non-zero angular acceleration at an instant.

  Reason

  Reason (R): Zero angular velocity at one instant does not imply that angular velocity is constant with time.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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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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• MCQeasyCircular Motionkinematics of circular motion

  Two pointers rotate uniformly in the same direction. Pointer A completes one revolution in 20 s and pointer B in 30 s. Starting together, they next coincide after:

  Options

  • Option A

    30 s

  • Option B

    40 s

  • Option C

    60 s

  • Option D

    120 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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