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 14 of 16

  • A. 400:1
  • B. 14:20
  • C. 800:1
  • D. 7:40

Explanation: r= 0.2 m Wo= 2rad/s Wt= 40 rad/s t= 19sec Tangential acceleration : aT = r {(Wt-Wo)/ t} aT = 0.2 {(40-2)/ 19} aT = 0.2 x 2 aT = 0.4…

Correct answer: 800:1
  • A. Angular velocity
  • B. Angular acceleration
  • C. Torque
  • D. None of the above

Explanation: The right-hand rule is a convention used in physics to determine the direction of a vector quantity based on the orientation of the right…

Correct answer: None of the above
  • A. 72.3 m/s
  • B. 30 m/s
  • C. 62.5 m/s
  • D. 52.5 m/s

Explanation: Centripetal acceleration = v2/r ; r=v2/acceleration252/10 = 62.5 m/s

Correct answer: 62.5 m/s
  • A. a = v/t
  • B. a = v/r
  • C. a = v2/r
  • D. None of these options are correct

Explanation: CENTRIPETAL FORCE: The force which compels the body to move in a circle is called center-seeking force or centripetal force.

Correct answer: a = v2/r
  • A. Double
  • B. Half
  • C. Eight times
  • D. Remains the same

Explanation: Centripetal Force is given by Fc = mv2 / r Fc ∝ 1/r If the radius is doubled, then Fc will become half.

Correct answer: Half
  • A. a= r2 / v
  • B. a= r / v
  • C. a= v2 /r
  • D. a= v / r

Explanation: The formula for centripetal acceleration is ac=v2/r.

Correct answer: a= v2 /r
  • A. Bending Force
  • B. Centripetal Force
  • C. Centrifugal force
  • D. None of these

Explanation: A 'centripetal force' is a force that makes a body follow a curved path.

Correct answer: Centripetal Force
  • A. Along radius away from center
  • B. Along radius towards center
  • C. Changing with motion
  • D. Along the tangent

Explanation: As an object moves in a circle, it is constantly changing its direction. At all instances, the object is moving tangent to the circle.

Correct answer: Along the tangent
  • A. Escape Velocity
  • B. Angular Velocity
  • C. Linear Velocity
  • D. All of these

Explanation: When a body moves in a circular path at a distance r from the center, the body's velocity is directed tangentially at any instant.

Correct answer: Linear Velocity
  • A. 4 rads-1
  • B. 5 rads-1
  • C. 1.6 rads-1
  • D. 2.8 rads-1

Explanation: According to Formula, Linear speed (v) = radius (r) x angular speed (w) For w, w = v/r w = 2/0.4 w = 5 rad/s

Correct answer: 5 rads-1
  • A. 0.4 N
  • B. 1.4 N
  • C. 2.4 N
  • D. 3.4 N

Explanation: Tension or force in the string, F=(mv2)/r Where m=200g=0.2kgv=2 m/s and r= 2mAdd in the values F=(2x22)/2= "0.4N"

Correct answer: 0.4 N
  • A. centripetal acceleration
  • B. centrifugal acceleration
  • C. both a or b
  • D. none of these

Explanation: Option D is correct since angular acceleration is not similar to centripetal acceleration or centrifugal acceleration.

Correct answer: none of these
  • A. it continues moving in a circle
  • B. it flies off along a tangent
  • C. it falls straight down
  • D. none of these

Explanation: An object moving in a circle is tied to a string. When the string is cut, it flies off along the tangent due to centripetal force.

Correct answer: it flies off along a tangent
  • A. 180°
  • B. 0°
  • C. 90°
  • D. 45°

Explanation: The angle between the linear velocity and the angular velocity of a body moving in a circle is 90°.

Correct answer: 90°
  • A. a = α x r
  • B. a= α x rv
  • C. v = a x r
  • D. r = α x v

Explanation: Option A is correct since: a= α x r is the correct relationship between both angular acceleration and linear acceleration.

Correct answer: a = α x r
  • A. r=maximum
  • B. r=0
  • C. r=1
  • D. None of these

Explanation: Linear acceleration (a) and angular acceleration (α) are related by the equation: a = α x r Hence if r = 1, a= α.

Correct answer: r=1
  • A. It accelerates away from the centre of the circle
  • B. It accelerates towards the centre of the circle
  • C. It does not accelerate
  • D. None of these

Explanation: Correct Option:BThis option is correct because when a body is moving in a circle centripetal force acts on it, due to this centripetal…

Correct answer: It accelerates towards the centre of the circle
  • A. ωr
  • B. ω2r
  • C. ωr2
  • D. ω/r

Explanation: Correct Option: BWhen a body moves in a circle of radius r with angular speed ω, its centripetal acceleration is given by the…

Correct answer: ω2r
  • A. Tension in string
  • B. Gravitational force
  • C. Normal force
  • D. None of these

Explanation: Correct Option:AIn circular motion, the centripetal acceleration is provided by the tension in the string (or any other force acting…

Correct answer: Tension in string
  • A. Equal
  • B. Zero
  • C. Maximum
  • D. None of these

Explanation: Correct Option:BThis option is correct because centripetal force and centrifugal force are action and reaction forces.Centripetal force…

Correct answer: Zero