Test Session Chap#3: Circular and Rotational Motion (1st year Physics)

Multiple Choice Questions (MCQs)

Short Answer Questions

Important Formulas

Circular Motion:

Angular velocity: ω = Δθ/Δt

Centripetal force: F_c = mω²r = mv²/r

Period: T = 2π/ω

Frequency: f = 1/T

Rotational Motion:

Angular acceleration: α = Δω/Δt

Torque: τ = Iα

Moment of inertia: I = Σmr²

Angular momentum: L = Iω

Conversions:

Radians to degrees: θ(°) = θ(rad) × 180/π

Linear to angular: v = ωr

Tangential acceleration: a_t = αr

Detailed Answer Questions

Question 1 (5 marks)

Define moment of inertia. Prove that torque acting on rotating rigid body is equal to the product of its moment of inertia and angular acceleration.

Question 2 (5 marks)

Write a note on artificial gravity. Derive an expression for frequency with which the spaceship rotates to provide artificial gravity.

Question 3 (5 marks)

Derive the relation for centripetal force: F_c = mrω².

Note: Answer any 2 questions. Each question carries 5 marks.

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