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 20 of 27
- A. 1.6 rad/s2
- B. 8 rad/s2
- C. 16 rad/s2
- D. 160 rad/s2
Explanation: First, convert the final velocity to m/s: 72 km/h = 20 m/s. Then, find the angular velocity of the wheels using the formula v = rω, where…
Correct answer: 16 rad/s2- A. alpha=2, r=2
- B. alpha=4, r=4
- C. alpha=3, r=0
- D. r=0, alpha=0
Explanation: The acceleration of an object can be determined using the equation a = r × alpha where r is the radius of curvature and alpha is the…
Correct answer: alpha=2, r=2- A. Twice
- B. Four times
- C. Eight times
- D. Remains the same
Explanation: Fc=mrω2Fc ∝ ω2If angular frequency is doubled thenFc ∝ (2ω)2Fc ∝ 4ω2Hence,B is the correct option
Correct answer: Four times- A. 2π
- B. π
- C. Zero
- D. 10π
Explanation: Average speed is defined as the ratio of total distance and total time to cover that distance.
Correct answer: 2π- A. 3.1
- B. 6.3
- C. 3.9
- D. 3.6
Explanation: Given that, diameter 24 inches. Hence the radius 24/2 = 12 inches. 1 revolution = 2πr = 2(π)(12) = 24π.
Correct answer: 3.6- A. It continues moving in a circle
- B. It flies off along a tangent
- C. It falls straight down
- D. None of these options is correct
Explanation: When the string breaks, the centripetal force stops to act. Due to inertia, the stone continues to move along the tangent to circular path.
Correct answer: It flies off along a tangent387. When a body moves in a circle of radius r with angular speed w, its centripetal acceleration is:
- A. wr
- B. rw2
- C. wr2
- D. w/r
Explanation: Centripetal acceleration is the rate of change of tangential velocity Angular speed = w Radius = r aC =( w^2 ) ( r ) so the correct answer…
Correct answer: rw2- 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/r392. If the radius of an object is doubled, the centripetal force acting on the same object becomes:
- 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: Half393. A body is travelling in a circle of radius 'r' at a speed 'v'. Its centripetal acceleration will be?
- 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 Velocity397. If a car moves with a uniform speed of 2ms-1 in a circle of radius 0.4, its angular speed is _.
- 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