ROTATIONAL AND CIRCULATION MOTION

🎯 MDCAT ROTATIONAL MOTION TEST

🌀 ROTATIONAL & CIRCULAR MOTION - 25 MCQs 🌀

Question 1/25

Correct 0

Wrong 0

Time 20:00

Q1

What is the rotational analog of force?

A) TorqueB) Moment of inertiaC) Angular velocityD) Angular acceleration

Correct: A) Torque
Explanation: Torque is the rotational equivalent of force.

Q2

A wheel rotates with a constant angular velocity. What is the angular acceleration?

A) ZeroB) MaximumC) MinimumD) Constant

Correct: A) Zero
Explanation: Constant ω means α = 0

Q3

What is the moment of inertia of a point mass?

A) mr²B) m/r²C) m²r²D) m²/r²

Correct: A) mr²
Explanation: I = mr² for point mass

Q4

An object moves in a circular path with a constant speed. What is the acceleration?

A) ZeroB) MaximumC) MinimumD) Constant

Correct: D) Constant
Explanation: Centripetal acceleration is constant in magnitude

Q5

What is the centripetal force acting on an object moving in a circular path?

A) F = mv²/rB) F = mv/rC) F = mr²/vD) F = m²v²/r

Correct: A) F = mv²/r
Explanation: Standard formula for centripetal force

Q6

An object moves in a circular path with radius 5 m. Speed 10 m/s. Centripetal acceleration?

A) 2 m/s²B) 4 m/s²C) 20 m/s²D) 40 m/s²

Correct: C) 20 m/s²
Explanation: a = v²/r = 100/5 = 20 m/s²

Q7

What is the angular momentum of a rotating object?

A) L = mvrB) L = m²vrC) L = IωD) L = I²ω

Correct: C) L = Iω
Explanation: Angular momentum = I × ω

Q8

Figure skater spins with arms extended. What happens to angular momentum when arms come closer?

A) IncreasesB) DecreasesC) Remains the sameD) Becomes zero

Correct: C) Remains the same
Explanation: Angular momentum is conserved

Q9

What is the conservation of angular momentum?

A) Total angular momentum of closed system remains constantB) Increases over timeC) Decreases over timeD) Becomes zero

Correct: A) Total angular momentum of closed system remains constant

Q10

What is the rotational kinetic energy of an object?

A) K = (1/2)mv²B) K = (1/2)Iω²C) K = (1/2)mω²D) K = (1/2)Iv²

Correct: B) K = (1/2)Iω²
Explanation: Rotational KE formula

Q11

Wheel rotates with constant angular velocity. Rotational KE?

A) ZeroB) MaximumC) MinimumD) Constant

Correct: D) Constant
Explanation: Constant ω means constant KE

Q12

Relationship between rotational KE and moment of inertia?

A) K ∝ IB) K ∝ 1/IC) K ∝ I²D) K ∝ 1/I²

Correct: A) K ∝ I
Explanation: K = 1/2 Iω²

Q13

Object in circular path r=10m, v=20m/s, m=1kg. Centripetal force?

A) 4 NB) 8 NC) 40 ND) 80 N

Correct: C) 40 N
Explanation: F = mv²/r = 1×400/10 = 40 N

Q14

Angular velocity of object rotating with frequency 2 Hz?

A) 2π rad/sB) 4π rad/sC) 6π rad/sD) 8π rad/s

Correct: B) 4π rad/s
Explanation: ω = 2πf = 2π×2 = 4π rad/s

Q15

Figure skater ω1=4 rad/s to ω2=6 rad/s. Final angular momentum?

A) 1.5 times initialB) 2 times initialC) 3 times initialD) 4 times initial

Correct: A) 1.5 times initial
Explanation: L ∝ ω, so 6/4 = 1.5

Q16

Moment of inertia of rod rotating about its center?

A) (1/12)ml²B) (1/6)ml²C) (1/3)ml²D) (1/2)ml²

Correct: A) (1/12)ml²
Explanation: Standard formula for rod about center

Q17

Object in circular path r=5m, v=10m/s. What is the period?

A) 1 sB) 2 sC) 3.14 sD) 4 s

Correct: C) 3.14 s
Explanation: T = 2πr/v = 2π×5/10 = π ≈ 3.14 s

Q18

Angular acceleration of object rotating with constant angular velocity?

A) ZeroB) MaximumC) MinimumD) Constant

Correct: A) Zero
Explanation: Constant ω means α = 0

Q19

Wheel rotates with constant angular velocity. Torque acting?

A) ZeroB) MaximumC) MinimumD) Constant

Correct: A) Zero
Explanation: τ = Iα, and α = 0

Q20

Relationship between torque and angular acceleration?

A) τ ∝ αB) τ ∝ 1/αC) τ ∝ α²D) τ = Iα

Correct: A) τ ∝ α
Explanation: τ = Iα

Q21

What is angular displacement?

A) Change in angular velocityB) Change in angular positionC) Change in linear velocityD) Change in linear position

Correct: B) Change in angular position

Q22

Unit of angular displacement?

A) Radian (rad)B) Degree (°)C) Meter (m)D) Second (s)

Correct: A) Radian (rad)
Explanation: SI unit is radian

Q23

Wheel rotates through angle of 4π rad. Angular displacement?

A) 2π radB) 4π radC) 8π radD) 16π rad

Correct: B) 4π rad

Q24

Object moves in circle r=5m through angle 60°. Angular displacement?

A) π/3 radB) π/2 radC) 2π/3 radD) π rad

Correct: A) π/3 rad
Explanation: 60° × π/180 = π/3 rad

Q25

Relationship between angular displacement and linear displacement?

A) θ = s/rB) θ = rsC) θ = s²/rD) θ = r²/s

Correct: A) θ = s/r
Explanation: s = rθ

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