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 25 of 27
- A. 6cm
- B. 9cm
- C. 7cm
- D. 3cm
Explanation: So here we use the relation between linear and angular quantity i.e. Vt=𝝎r Rearranging the expression, we get r=Vt/𝝎 Here Vt is linear…
Correct answer: 3cm- A. √3gr
- B. √2gr
- C. √gr
- D. √(gr/2)
Explanation: At the highest point, the centripetal force is provided by the vertical component of the plane's weight, given by: Fc = mg Equating this…
Correct answer: √gr- A. a= r W2
- B. a= r W
- C. a = r² W
- D. a= r² W²
Explanation: Centripetal acceleration increases with radius and is also affected more significantly when angular speed increases, as it is squared.
Correct answer: a= r W2- A. F' = 2F
- B. F' = 1/2 * F
- C. F' = 4F
- D. F' = F
Explanation: Despite both the velocity and the radius changing, the net effect on the centripetal force remains the same.
Correct answer: F' = F- A. mgL
- B. mgL sin θ
- C. 0
- D. mgL cos θ
Explanation: Torque is the rate of change of angular momentum of an object T=force*radius*sinθ, in this case, force is the weight of the pendulum (mg)…
Correct answer: mgL sin θ- A. 1/60
- B. 3/2
- C. 2
- D. 6
Explanation: As we know that: 2π radians is equal to one revolution and 3π radians to x revolutions.
Correct answer: 3/2- A. 57o3'
- B. 57o3"
- C. 57o18'
- D. 57o18"
Explanation: 1 radian = 180/π degrees ≈ 57°18′ It's the angle subtended at the center of a circle by an arc equal in length to the radius.
Correct answer: 57o18'- A. Any point
- B. A fix point
- C. A point on a circle
- D. A point from outside
Explanation: The correct option is B. "A fixed point."A circular line, by definition, is a curve that is equidistant from a fixed point called the…
Correct answer: A fix point- A. n/90 radians.
- B. n/180 radians.
- C. n/270 radians.
- D. n/360 radians.
Explanation: B option is correct. One degree is equal to π/180 radians. This is the standard conversion factor between degrees and radians.
Correct answer: n/180 radians.- A. Zero
- B. Clockwise
- C. Maximum
- D. Remains the same
Explanation: Explanation:If the body is rotating with uniform angular velocity, its angular momentum remains constant, and therefore there is no change…
Correct answer: Zero- A. 0.67s
- B. 10. s
- C. 1.3s
- D. 2.1 s
Explanation: To find the time it takes for a flywheel to complete one revolution, we can use the formula: Time = (2π radians) / Angular velocity Given…
Correct answer: 2.1 s- A. Velocity and acceleration are antiparallel
- B. Velocity and acceleration are parallel
- C. Velocity and acceleration are perpendiculars
- D. Zero acceleration
Explanation: The correct option is C, "Velocity and acceleration are perpendicular." This option is correct.
Correct answer: Velocity and acceleration are perpendiculars- A. Solid cylinder
- B. Hollow cylinder
- C. Both simultaneously
- D. Depends upon the behavior among them
Explanation: mgcos∅ will get balanced by the normal force For rolling without slipping (pure rolling), we have a = àR ...
Correct answer: Solid cylinder494. Diver curls his bosy when diving so that he can perform some quick somersaults. This is because:
- A. His angular momentum increases
- B. His effective radius increases
- C. his angular momentum decreases
- D. his angular velocity increases
Explanation: A) By the law of conservation of angular momentum, the total angular momentum of the diver will stay the same irrespective of the way the…
Correct answer: his angular velocity increases- A. w/r
- B. w2/r
- C. w2r
- D. wr2
Explanation: The formula for angular acceleration is a= = w2r RCentripetal acceleration = V2/r, whereby V=rW, thus (rW)2 / r is = w2 r
Correct answer: w2r- A. Fc = mv2/r
- B. Fc = (mv2/r)r̂
- C. Fc = (mv2/r2)r̂
- D. Fc = (mv2/r2)γ
Explanation: Magnitude of centripetal force Fc=mv2/rFor vector form, we multiply it with unit vector ^r to get Fc = (mv)2/r)^γ
Correct answer: Fc = (mv2/r)r̂- A. w/r
- B. w2/r
- C. w2r
- D. Wr2
Explanation: To find the centripetal acceleration of a particle moving in a circle, use the formula ac = w2r, where w is the angular speed and r is the…
Correct answer: w2r- A. 300%
- B. 100%
- C. 400%
- D. 200%
Explanation: To solve this problem, we start with the formula for centripetal force: F = (mv^2)/r.Initially, the force is F.
Correct answer: 100%- A. Zero
- B. 1.0 ms-2
- C. 2π ms-2
- D. 4π2 ms-2
Explanation: To find the magnitude of the acceleration of an object moving in a circle, we use the formula for centripetal acceleration: a = ω²r.
Correct answer: 4π2 ms-2- A. Zero
- B. 1.0 ms-2
- C. 2π2 ms-2
- D. 4π2 ms-2
Explanation: In this problem, the object is moving in a circular path with a constant speed.
Correct answer: 4π2 ms-2