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 12 of 16

  • A. A
  • B. B
  • C. C
  • D. D

Explanation: The ratio can be calculated as: Fc(1)=mv^2/r1 and Fc(2)=mv^r/r2 Divide Fc(1) by Fc(2): Fc(1)/Fc(2)=(mv^2/r1)/(mv^2/r2) = r2/r1 So option A…

Correct answer: A
  • A. π2
  • B. 8π2
  • C. 4π2
  • D. Zero

Explanation: Therefore, the correct answer is option C: 4π^2. The radial acceleration of the particle is approximately 4π^2 m/s² as : The angular…

Correct answer: 4π2
  • A. Radial acceleration only
  • B. Tangential acceleration only
  • C. Both radial and tangential acceleration
  • D. Neither radial nor tangential acceleration

Explanation: Therefore, the correct answer is option C: Both radial and tangential acceleration.

Correct answer: Both radial and tangential acceleration
  • A. Half
  • B. Same
  • C. Double
  • D. Four times

Explanation: Therefore, the correct answer is option C: Double. The centripetal force becomes double when the radius is doubled while keeping the…

Correct answer: Double
  • A. Speed
  • B. Mass
  • C. Direction
  • D. Kinetic energy

Explanation: Therefore, the correct answer is option C: Direction. When a body performs uniform circular motion, the direction of its velocity…

Correct answer: Direction
  • A. same
  • B. double
  • C. tripled
  • D. quadrupled

Explanation: Here is the explanation of the correct optionF =mv2/r V/ =2vF/ = F/ = F/ = 4F

Correct answer: quadrupled
  • A. Centrifugal acceleration
  • B. Centripetal acceleration
  • C. Tangential acceleration
  • D. angular acceleration

Explanation: The acceleration directed toward the center of a circular path, required to keep an object moving in that path.

Correct answer: Centripetal acceleration
  • A. 0o
  • B. 180°
  • C. 360°
  • D. 90°

Explanation: Please note that the correct option is a) 0 degrees. When the angular acceleration (α) is 0 degrees, the object is not undergoing any…

Correct answer: 0o
  • A. Fc
  • B. 2Fc
  • C. Fc/2
  • D. 4Fc

Explanation: Option B is correct.We know that:Fc= mv2/rFc=m(2v)2/2r =4/2(mv2/r) =2Fc

Correct answer: 2Fc
  • A. They act on the same body
  • B. Both perform work
  • C. Their directions are opposite
  • D. All of these

Explanation: Option B is correct.No, the centripetal and centrifugal forces do not both perform work.Centripetal force is the force that keeps an…

Correct answer: Both perform work
  • A. (i) and (ii) only
  • B. (ii) and (iii) only
  • C. (i) and (iii) only
  • D. (i), (ii) and (iii)

Explanation: Option C is correct.We know that:Fc=mv2/r =2m(2v)2/r = 8(mv2/r) =8FcIf we increase or decrease the radius r then Fc cannot be 8 times.

Correct answer: (i) and (iii) only
  • A. 0o
  • B. 90o
  • C. 180°
  • D. 60°

Explanation: Option B is correct.The angle between the centripetal force and tangential velocity is always 90 degrees tangential to the circle.

Correct answer: 90o
  • A. Towards
  • B. Away
  • C. At
  • D. Perpendicular to the plane

Explanation: Centrifugal force is equal in magnitude and opposite to the centripetal force. So, it is away from the center of circle.

Correct answer: Away
  • A. It has constant radial and tangential acceleration
  • B. It has variable tangential and radial accelerations
  • C. It only has constant radial acceleration
  • D. It only has constant tangential acceleration

Explanation: In a vertical circular motion, such as a particle on a string or a roller coaster loop, both radial and tangential accelerations vary.

Correct answer: It has variable tangential and radial accelerations
  • A. Along the circumference of the circle.
  • B. Along the direction of motion of the object.
  • C. Towards the centre of the circle along the radius.
  • D. Away from the centre of the circle along the radius.

Explanation: In uniform circular motion, the speed of the object remains constant, but its direction changes continuously, which means there is an…

Correct answer: Towards the centre of the circle along the radius.
  • A. Ice-skating.
  • B. Gymnastics.
  • C. Horse riding.
  • D. Board diving.

Explanation: The correct answer isHorse riding.In horse riding, the primary focus is on the rider's balance, posture, and control over the horse…

Correct answer: Horse riding.
  • A. 0.5 J
  • B. 2 J
  • C. 4 J
  • D. 8 J

Explanation: The rotational kinetic energy is calculated using the formula KE = 0.5 * I * ω².

Correct answer: 2 J
  • A. Speed
  • B. Acceleration
  • C. Velocity
  • D. Momentum

Explanation: This is correct because although direction changes, the magnitude of speed remains constant in uniform circular motion.

Correct answer: Speed
  • A. 170
  • B. 160
  • C. 360
  • D. 420

Explanation: The ratio of diameters is 30:20=3:2.The circumferences are also in the same ratio of diameters.The first wheel travels the distance in 240…

Correct answer: 360
  • A. Away
  • B. Towards
  • C. Normally
  • D. Tangentially

Explanation: Centripetal acceleration and centripetal force both act towards the centre of the circular path. Hence, Option B is correct.

Correct answer: Towards