Free Angular and Linear Quantities MCQs with Answers
317 Angular and Linear Quantities MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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317 questions · page 5 of 16
- A. impulse x distance
- B. linear momentum x time
- C. work x frequency
- D. power x time
Explanation: Angular momentum (L): Angular momentum is a measure of an object's rotational inertia and its rotational velocity.
Correct answer: linear momentum x time- A. force
- B. moment of inertia
- C. impulse
- D. torque
Explanation: Torque applied to a body produces angular acceleration.The formula for torque is:Where:- is the torque,- is the lever arm (perpendicular…
Correct answer: torque- A. K.E.rot =1/2 mv2
- B. K.E.rot =1/3 mv2
- C. K.E.rot =1/4 mv2
- D. None
Explanation: The correct formula for the rotational kinetic energy (K.E.rot ) of a rotating disc is:K.E.rot =1/2 Iω2The moment of inertia (I) for a…
Correct answer: K.E.rot =1/3 mv2- A. Moment of inertia is independent of shape and size of the body.
- B. Moment of inertia depends on choice of axes.
- C. Momentum of inertia does not depend on the mass of the body.
- D. None
Explanation: The formula for the moment of inertia of a body is given by:I=∫r2dmWhere I is the moment of inertiar is the perpendicular distance from…
Correct answer: Momentum of inertia does not depend on the mass of the body.- A. Constant
- B. Variable
- C. Unstable
- D. Zero
Explanation: Angular momentum is a vector quantity representing the rotational motion of an object.
Correct answer: Constant- A. Radian
- B. Radian per second
- C. Radian per second^2
- D. None
Explanation: Correct. Angular acceleration is measured in radians per second squaredIn summary, the correct option is **c.
Correct answer: Radian per second^2- A. Mid-point
- B. Centre of gravity
- C. Optical center
- D. Pole
Explanation: The midpoint of an object experiences linear motion but no rotational motion when a force is applied.
Correct answer: Mid-point- A. L/4
- B. 4L
- C. 2L
- D. L/2
Explanation: For a rotating particle KE = ½ I ω² and L = I ω, so L = 2K/ω. If K → 2K and ω → ω/2 then L(new) = 2(2K)/(ω/2) = 4·(2K/ω)/2 = 4 L.
Correct answer: 4L- A. Parallel to the moving tyre
- B. Anti-parallel to the moving tyre
- C. Tangent to the moving tyre
- D. None of these
Explanation: Points on a rotating tyre have an instantaneous linear velocity that is tangential to the circular path at that point.
Correct answer: Tangent to the moving tyre- A. A ring about its axis perpendicular to the plane of the ring
- B. A solid sphere about one of its diameters
- C. A spherical shell about one of its diameters
- D. A disc about its axis perpendicular to the plane of the disc
Explanation: Moment of inertia increases with mass distribution farther from the axis.
Correct answer: A ring about its axis perpendicular to the plane of the ring- A. Constant torque
- B. Constant force
- C. Constant linear momentum
- D. Zero torque
Explanation: A central force acts along the radius and exerts no lever arm about the center, so the torque is zero.
Correct answer: Zero torque92. The force required to bend the normally straight path of a particle into a circular path is called:
- A. Travelling force
- B. Centrifugal force
- C. Bending force
- D. Centripetal force
Explanation: The centripetal force is the inward-directed force that continuously changes the direction of velocity and keeps the particle on a…
Correct answer: Centripetal force- A. 3.14 m
- B. π rad
- C. 6.28 m
- D. 0.157 m
Explanation: Convert 180° to radians: θ = π rad. Linear displacement S= r θ = 1 × π = π ≈ 3.14 m. Thus option "A" is the numeric value of the arc length.
Correct answer: 3.14 m- A. Zero
- B. Constant magnitude but varying direction
- C. Constant direction but varying magnitude
- D. Varying magnitude and direction
Explanation: For uniform circular motion the magnitude ac= v²/r is constant if speed is constant, but the direction is always changing (toward the…
Correct answer: Constant magnitude but varying direction- A. Towards the centre
- B. Always along the radius
- C. Irregular
- D. Circular in motion
Explanation: The net acceleration in uniform circular motion is the centripetal acceleration directed radially inward (toward the centre).
Correct answer: Towards the centre- A. Uniform circular motion
- B. Projectile motion
- C. Motion in a plane with uniform velocity
- D. Motion in a plane with constant acceleration
Explanation: The second hand moves at constant angular speed around the clock face, tracing a circular path with uniform angular velocity; hence the…
Correct answer: Uniform circular motion- A. v = rω
- B. v = rθ
- C. v = sω
- D. v = sθ
Explanation: Tangential (linear) speed v at radius r is related to angular speed ω by v = r ω.
Correct answer: v = rω- A. 16 m/s
- B. 10 m/s
- C. 4 m/s
- D. 6 m/s
Explanation: Tangential speed v = r ω = 2 × 8 = 16 m/s.
Correct answer: 16 m/s- A. 1 m/s
- B. 3 m/s
- C. 2 m/s
- D. 4 m/s
Explanation: Convert radius to meters r = 0.20 m. Linear speed v = r ω = 0.20 × 20 = 4 m/s. Hence option D is correct.
Correct answer: 4 m/s- A. Is centripetal acceleration
- B. Is tangential acceleration
- C. Is radial acceleration
- D. Both A and B
Explanation: a = r α describes tangential acceleration produced by angular acceleration α.
Correct answer: Is tangential acceleration