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 4 of 16
- A. 24 hrs
- B. 6 hrs
- C. 12 hrs
- D. 3 hrs
Explanation: Reasoning:The duration of a day (the time it takes Earth to rotate once on its axis) is related to its angular momentum.
Correct answer: 6 hrs- A. couple
- B. impulse
- C. torque
- D. angular momentum
Explanation: The moment of momentum is another term for angular momentum. It is the product of the moment of inertia and the angular velocity of an…
Correct answer: angular momentum- A. 1:4
- B. 4:1
- C. 2:1
- D. √2:1
Explanation: The moment of inertia of a ring is given by I=1/2 mr^2, where m is the mass and r is the radius of the ring.
Correct answer: 2:1- A. 1:2
- B. 1:4
- C. 2:1
- D. 8:1
Explanation: This option accurately reflects the calculated ratio.As derived earlier, the moment of inertia of a ring (Ir) is twice that of a disc (Id)…
Correct answer: 2:1- A. N
- B. m/s¹
- C. m/s²
Explanation: r.omega^2 represents the centripetal acceleration, where r is the radius of the circular path and Ω is the angular velocity.
Correct answer: m/s²- A. Radial velocity and radial acceleration
- B. Tangential velocity and radial acceleration
- C. Tangential velocity and tangential acceleration
- D. Tangential velocity but acceleration having both components
Explanation: As the wheel rotates about an axis passing through the center and perpendicular to the plane, its angular speed increases.
Correct answer: Tangential velocity and tangential acceleration- A. 90°
- B. 180°
- C. 0°
- D. 45°
Explanation: The angle between linear velocity and angular velocity is always 90°. Linear velocity is tangential to the circular path, while angular…
Correct answer: 90°- A. Ir >Id
- B. Ir <Id
- C. Ir −Id
- D. Ir =Id
Explanation: The moment of inertia of a ring is greater than that of a disk of the same mass and radius.
Correct answer: Ir >Id- A. Zero
- B. Minimum
- C. Maximum
- D. Constant
Explanation: Angular momentum is conserved under central forces. In the case of a rotating body under a central force, the angular momentum remains…
Correct answer: Constant- A. Momentum
- B. Force
- C. Inertia
- D. Momentum of inertia
Explanation: The dimensional formula of momentum of inertia is ML^2, where M is the mass and L is the length or radius of rotation.
Correct answer: Momentum of inertia- A. Remains constant
- B. Becomes zero
- C. Changes continuously
- D. Always increases
Explanation: When a body moves along a circular path, its direction is constantly changing, even if the magnitude of the velocity remains constant.
Correct answer: Changes continuously- A. 80 Nm
- B. 40Nm
- C. 20 Nm
- D. 10 Nm
Explanation: The forces are acted at a distance of 0.2m from the center, the torques is given by 2(100*0.2) = 40 NM.
Correct answer: 40Nm- A. Momentum
- B. Angular momentum
- C. Torque
- D. Force
Explanation: Angular acceleration is produced by torque according to Newton's second law for rotation, which states that the net torque acting on an…
Correct answer: Torque- A. ΣF=0
- B. ΣF=0, Στ=0
- C. Στ=0
- D. ΣF and Στ≠0
Explanation: For rotational equilibrium, the net force acting on the object must be zero (ΣF=0) and the net torque (Στ) acting on the object must also…
Correct answer: ΣF=0, Στ=0- A. 3%
- B. 5%
- C. 4%
- D. 7%
Explanation: Option (b) is correct because it correctly calculates the maximum error in the moment of inertia considering the errors in mass and radius.
Correct answer: 5%- A. ice skating
- B. gymnastics
- C. diving
- D. all of these
Explanation: The law of conservation of angular momentum is applicable to all the scenarios mentioned: ice skating, gymnastics, and diving.
Correct answer: all of these- A. πMR3/T
- B. πMR2/T
- C. 2πMR2/5T
- D. 4πMR2/5T
Explanation: Here's how to find the angular momentum of the Earth treated as a sphere:1.
Correct answer: 4πMR2/5T- A. Force
- B. Moment of inertia
- C. Impulse
- D. Torque
Explanation: This is correct. Torque is the rotational equivalent of force, and it's defined as the product of the force applied and the distance from…
Correct answer: Torque- A. angular acceleration
- B. linear acceleration
- C. no acceleration
- D. none of these
Explanation: If a force acts on a body whose action line does not pass through its CG, the torque created by the force will cause the body to…
Correct answer: angular acceleration- A. which is geometric center of a body
- B. from which distance of particles are same
- C. where the whole mass of the body is supposed to be cantered
- D. which is origin of reference frame
Explanation: Center of mass (COM): The center of mass (COM) of an object is a hypothetical point where the entire mass of the object is considered to…
Correct answer: where the whole mass of the body is supposed to be cantered