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 11 of 27
- A. 7.0m/s
- B. 14πrad/s
- C. 7.0πrad/s
- D. 0.70m/s
Explanation: The correct answer is 7.0m/s. The speed of the point P is calculated using the formula v = rω, where r = 0.7m and ω = 10rad/s.
Correct answer: 7.0m/s- A. v2/r
- B. rω2
- C. vω
- D. All of these
Explanation: Centripetal acceleration is the acceleration directed towards the center of the circle that keeps an object moving in circular motion.
Correct answer: All of these- A. v and r
- B. r and ω
- C. v and ω
- D. All are correct
Explanation: In the equation v=ω×r, the linear velocity (v) is the cross product of angular velocity (ω) and the radius (r), implying that ω and r are…
Correct answer: r and ω- A. 1.05cms-1
- B. 2.05cms-1
- C. 1.05m/s
- D. 3.05cms-1
Explanation: Using the formula v=wR, where w is the angular speed (2π/60 rad/s for a second hand), and R is the length of the second hand (10cm), we…
Correct answer: 1.05cms-1- A. 0.3rad/s
- B. 30rads-1
- C. 3 rad/s
- D. 1.5rad/s
Explanation: Angular speed is calculated using the formula ω = v / r. In this case, with v = 3 m/s and r = 0.1 m, we find ω = 3 m/s / 0.1 m = 30 rad/s.
Correct answer: 30rads-1- A. 14m/s
- B. 3m/s
- C. 3.92m/s
- D. 5m/s
Explanation: The correct answer is 14m/s. By using the formula T = (mv2)/r and substituting the given values, we find that the maximum speed the ball…
Correct answer: 14m/s- A. 1km/s2
- B. 100m/s2
- C. 10m/s2
- D. 1m/s2
Explanation: The correct answer is Option A: 1 km/s2. The acceleration of the train is correctly calculated using the formula for centripetal…
Correct answer: 1km/s2- A. 250km/s2
- B. 75m/s2
- C. 62.5m/s2
- D. 60m/s2
Explanation: To find the centripetal acceleration of the aircraft, we converted the speed from km/h to m/s (900 km/h * 5/18 m/s/km = 250 m/s) and…
Correct answer: 62.5m/s2- A. mv2/r
- B. pv/r
- C. p2/mr
- D. All of these
Explanation: The correct answer is Option D: All of these. All options are correct in the context of centripetal force.
Correct answer: All of these- A. 1N
- B. 2N
- C. 10N
- D. 100N
Explanation: 1N is the correct answer. The centripetal force is determined by the formula Fc = mv2 / r, where m=10kg, v=1m/s, and r=10m.
Correct answer: 1N- A. Remains constant
- B. Changes in magnitude
- C. Changes in direction
- D. Changes both in magnitude and direction
Explanation: If a particle moves in a circle describing equal angles to equal times, its velocity vector changes in direction because the velocity…
Correct answer: Changes in direction- A. The velocity vector is tangent to the circle
- B. The acceleration vector is tangent to the circle
- C. The acceleration vector points to the center of the circle
- D. The velocity and acceleration vectors are perpendicular to each other
Explanation: When a particle moves in a circle with constant angular speed, its acceleration is directed towards the centre of the circle.
Correct answer: The acceleration vector is tangent to the circle- A. 1.5m/s
- B. 3.5m/s
- C. 4.5m/s
- D. 2.5m/s
Explanation: The correct option is 2.5ms-1. To calculate the linear speed of the wheel, we can use the formula v = ωr, where v is the linear speed, ω…
Correct answer: 2.5m/s- A. Zero
- B. 3.14m/s
- C. 31.4m/s
- D. √2×31.4m/s
Explanation: Option C is correct because when an object moves in a circle with constant speed, its average speed for one complete revolution is equal…
Correct answer: 31.4m/s- A. 2Kg
- B. 8Kg
- C. 4Kg
- D. 16Kg
Explanation: The correct answer is option B: 8Kg. When applying the formula Fc=mv2/r with the given values, the calculation results in a mass of 8Kg.
Correct answer: 8Kg- A. 20rad/s
- B. 40rad/s
- C. 100rad/s
- D. 200rad/s
Explanation: The maximum angular velocity of rotation for the stone tied to the string is 20 rad/s.
Correct answer: 20rad/s- A. 1600m/sec2
- B. 4740m/sec2
- C. 2370m/sec2
- D. 5055m/sec2
Explanation: The correct answer is option B. This option accurately calculates the acceleration of a point on the tip of the blade as approximately…
Correct answer: 4740m/sec2- A. mrω2
- B. m2v2/r2
- C. m2v2/r
- D. mv2/r2
Explanation: The correct expression for centripetal force is given by Fc = mrω2, as shown in option A.
Correct answer: mrω2- A. Gravitational force
- B. Frictional force
- C. Centripetal force
- D. Centrifugal acceleration
Explanation: The correct answer is option C: Centripetal force. Fighter planes in curved flight require a large centripetal force directed towards the…
Correct answer: Centripetal force- A. (r2 / r1)
- B. √(r2 / r1)
- C. (r2 / r1)2
- D. (r1 / r2)2
Explanation: The centripetal force ratio can be calculated using the formula Fc(1)/Fc(2) = r2/r1.
Correct answer: (r2 / r1)