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 16 of 16
- 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 cylinder302. 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-2309. A body Is moving in a circle of radius (r) with a variable speed, the acceleration of the body is:
- A. Centripetal acceleration
- B. Tangential acceleration
- C. Angular acceleration
- D. All of the above
Explanation: Since the magnitude of the speed is not constant, this is a case of non-uniform circular motion and there will be a tangential…
Correct answer: All of the above- A. Torque
- B. Weight
- C. Moment of inertia
- D. Angular momentum
Explanation: Moment of inertia is referred to as the rotational analogue of mass in linear motion.
Correct answer: Moment of inertia- A. Increases
- B. Decreases
- C. Remains constant
- D. Changes direction but not magnitude
Explanation: Angular momentum is a conserved quantity in the absence of external torques.
Correct answer: Remains constant- A. 0.38 kg - m2
- B. 0.54 kg - m2
- C. 0.86 kg - m2
- D. 1.02 kg - m2
Explanation: The correct answer is 1.02 kg - m2. The initial rotational inertia of the disk is 0.70 kg m2.
Correct answer: 1.02 kg - m2- A. Mv2
- B. ½ Mv2
- C. ¼ Mv2
- D. 1/8 Mv2
Explanation: The kinetic energy of the rotating disc can be calculated as:KE = (1/2) I ω^2where I is the moment of inertia and ω is the angular…
Correct answer: ¼ Mv2- A. Mass of an object
- B. Mass of distribution
- C. Angular velocity
- D. Axis of rotation
Explanation: The moment of inertia Iof an object is a measure of its resistance to changes in angular velocity.
Correct answer: Angular velocity315. The speedometer of a car shows 36 km/hr. The angular speed of the wheels having 0.5m radius is:
- A. 5 rad/sec
- B. 10 rad/sec
- C. 15 rad/sec
- D. 20 rad/sec
Explanation: To solve for the angular speed of the wheels, we first need to convert the car's speed from kilometers per hour to meters per second.
Correct answer: 20 rad/sec316. Centrifugal force =
- A. mv^2/r
- B. m^2v/r
- C. mv/r^2
- D. mv2/r
Explanation: Centrifugal force (F_c) is an outward force that arises when an object moves in a circular path.
Correct answer: mv^2/r- A. Angular acceleration
- B. Centripetal acceleration
- C. Tangential acceleration
- D. Translator acceleration
Explanation: Radial acceleration, also known as centripetal acceleration, is the acceleration of an object moving in a circular path towards the center…
Correct answer: Centripetal acceleration