Free Rotational and Circular Motion MCQs with Answers
521 Rotational and Circular Motion MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Angular displacement and angular velocity describe rotation, with angles measured in radians and related to time through angular speed. The connection between angular and linear quantities includes arc length, tangential speed and centripetal acceleration, so circular motion is not confused with motion at constant velocity.
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Read the Rotational and Circular Motion notesFree MDCAT chapter notes with key terms521 questions · page 21 of 27
401. When a body moves in a circle, the angle between its linear velocity and angular velocity is always?
- 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: ω2r406. Circular motion of a particle while attached to a string centripetal acceleration is provided by _.
- 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- A. 1800N
- B. 18N
- C. 180kN
- D. 18kN
Explanation: Given, m = 2000 kg v = 30m/s r = 10 m Formula, Centripetal force = (mv)2 / r Substituting the given data in the above equation we get, F=…
Correct answer: 180kN- A. 42 m/s2
- B. 52 m/s2
- C. 32 m/s2
- D. 30 m/s2
Explanation: using the formula: ac = v2 / rwhere ac is the centripetal acceleration, v is the velocity of the object, and r is the radius of the…
Correct answer: 32 m/s2- A. Equal
- B. Zero
- C. Maximum
- D. None of these options are correct
Explanation: Option B is correct since centripetal force and centrifugal force are equal in magnitude and opposite in direction, so it will also be zero.
Correct answer: Zero411. For an object moving in a circle, the angle between linear velocity and the position vector is _.
- A. 0 degrees
- B. 30 degrees
- C. 90 degrees
- D. 60 degrees
Explanation: The direction of angular velocity is tangent to the circle and the direction of the position vector is towards the center.
Correct answer: 90 degrees- A. Along the radius away from the centre
- B. Along the radius towards the centre
- C. Changing with motion
- D. Along the tangent
Explanation: Linear velocity is also called tangential velocity as its direction is always tangent to the point at which the object is placed on the…
Correct answer: Along the tangent- A. rad/sec
- B. sec/rad
- C. sec2
- D. None of these
Explanation: The units of angular acceleration are radians per second (rad/s). Angular acceleration is the rate of change of angular velocity, and its…
Correct answer: None of these- A. 1.6 rad/s2
- B. 8 rad/s2
- C. 16 rad/s2
- D. 160 rad/s
Explanation: Vf=72km/hr=72 × 1000 / 60× 60 =20m/sec(convert km/hr to m/sec).Diameter=2r=50cm r= 25×10-2 Wf=Vf/r=20/25 × 10-2 =80rad/By…
Correct answer: 16 rad/s2- A. 400:1
- B. 14:20
- C. 800:1
- D. 7:40
Explanation: Initial angular speed of the particle, ω1 = 2 rad/s Final angular speed of the particle, ω2 = 40 rad/s Radius of the circle, r = 20 cm =…
Correct answer: 800:1- A. 40.8 radians
- B. 4 radians
- C. 3 radians
- D. 36 radians
Explanation: Option A is correct since the formula for angular displacement is no of revolutions * 2pi. So 6.5 * 2pi would be equal to 40.8 radians.
Correct answer: 40.8 radians- A. 0.1 radian
- B. 0.15 radian
- C. 0.0175 radian
- D. 0.275 radian
Explanation: 2π rad = 360 degrees 1 degree = 2π/360 = 0.0175
Correct answer: 0.0175 radian- A. 1/2 radian
- B. 2 radian
- C. 3 radian
- D. 2/3 radian
Explanation: Angular Displacement =s/r s=2 and r=1 so angular displacement = 2
Correct answer: 2 radian419. 1 radian =
- A. 53.70
- B. 73.50
- C. 57.30
- D. 37.5°
Explanation: When converted from 1 radian to degrees, we have 1 radian equal to 57.296 degrees.
Correct answer: 57.30- A. 1 rad = 53.7o
- B. 1 radian = 57.3°
- C. 1 rad = 1o
- D. 1° = π rad
Explanation: 1 radian is approximately equal to 57.3 degrees. This is the conversion factor between radians and degrees.
Correct answer: 1 radian = 57.3°