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.
Last updated
317 questions · page 6 of 16
- A. Path A
- B. Path B
- C. Path C
- D. Path D
Explanation: Along the tangent. When the string breaks, the rock will continue to move in a straight line tangent to the circle at the point where the…
Correct answer: Path B- A. -(8i - 6j + 3k)
- B. (3i - 6j + 8k)
- C. -(3i - 6j + 6k)
- D. (6i - 8j + 3k)
Explanation: To find the linear velocity, take the cross product of the position vector (3i+4j) and the angular velocity (j+2k).
Correct answer: -(8i - 6j + 3k)- A. Tangential rv2, Centripetal 0
- B. Tangential 0, Centripetal v2/r
- C. Tangential 0, Centripetal 0
- D. Tangential v2/r, Centripetal v2/r
Explanation: When a body moves in a circular path with constant speed, the tangential acceleration is zero because the speed remains constant.
Correct answer: Tangential 0, Centripetal v2/r- A. 7.0m/s
- B. 0.70m/s
- C. 7.0πrad/s
- D. 0.70πrad/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. (r2 / r1)
- B. √ (r1 / r2)
- C. (r2 / r1)2
- D. (r1 / r2)2
Explanation: The centripetal force ratio between the two particles can be determined by comparing their radii, as Fc1/Fc2= r2/r1.
Correct answer: (r2 / r1)- A. Particle: 1, Mass: m, Speed: 4v, Radius: r
- B. Particle: 2, Mass: m/2, Speed: 2v, Radius: 2r
- C. Particle: 3, Mass: 2m, Speed: v/2, Radius: r
- D. Particle: 4, Mass: 1m, Speed: 2v, Radius: 3r
Explanation: To find particles with the same centripetal force as the given particle, we use the centripetal force formula Fc = (m × v2) / r.
Correct answer: Particle: 2, Mass: m/2, Speed: 2v, Radius: 2r- A. Radial acceleration
- B. Tangential acceleration
- C. Radial and tangential acceleration
- D. None of the above
Explanation: The stone experiences both radial acceleration (in the vertical direction) and tangential acceleration (changing its linear speed) during…
Correct answer: Radial and tangential acceleration- A. Current
- B. Length
- C. Angular momentum
- D. Torque
- E. Displacement
Explanation: In three dimensions, the angular momentum for a point article is a pseudovector r × p, the cross product of the particle's position vector…
Correct answer: Angular momentum- A. Current
- B. Length
- C. Angular momentum
- D. Torque
- E. Displacement
Explanation: The correct answer is Angular momentum. In three-dimensional space, the angular momentum of a point particle is defined as the cross…
Correct answer: Angular momentum- A. 8.3 x 10^4
- B. 0.54
- C. 1.9
- D. 52
- E. 540
Explanation: The ratio of Centripetal force to the weight of the aircraft=mv^2/r divided by mgm*(650)^2/80*1000 / m*9.81=0.54.
Correct answer: 0.54- A. Is quadrupled
- B. Is doubled
- C. Is multiplied by the √2
- D. Is reduced to ½ of the original value
- E. Is reduced to ⅙ of the original value
Explanation: The centripetal force acting on an object moving in athe circular path is given by the equation: F = (mv^2) / r where F is the centripetal…
Correct answer: Is quadrupled- A. Is quadrupled
- B. Is doubled
- C. Is multiplied by √2
- D. Is reduced to 1/2 of the original value
- E. Is reduced to 1/6 of the original value
Explanation: The formula that will be used here will be: F=(m)(v)2/r. By doubling the speed of the car, the centripetal force should be quadrupled due…
Correct answer: Is quadrupled- A. Double
- B. One half
- C. Four times
- D. One fourth
Explanation: Fc= mv^2/ rF is directly proportional to the square of the linear velocity. If velocity doubles then Fc will quadruple.
Correct answer: Four times- A. Double
- B. One half
- C. Four times
- D. One fourth
Explanation: When an object moves in a circular motion, it experiences a centripetal force that keeps it moving in a curved path.
Correct answer: Four times- A. 24 hours
- B. 18 hours
- C. 6 hours
- D. 12 hours
Explanation: Here we assume that the mass of earth remains the same, moment of the inertia of the earth rotating about its axis is :I=⅖…
Correct answer: 6 hours- A. 3 m/s2
- B. 6 m/s2
- C. 7 m/s2
- D. 8 m/s2
- E. 9 m/s2
Explanation: The correct answer is 9 m/s2. To find the acceleration of the jeep as it rounds the curve, we use the formula for centripetal…
Correct answer: 9 m/s2- A. None of them
- B. Linear velocity... Linear momentum... Angular velocity... Angular momentum
- C. Linear momentum... Angular momentum... Linear velocity... Angular velocity
- D. Angular velocity... Angular momentum... Linear momentum... Linear velocity
Explanation: The correct answer is: Linear velocity... Linear momentum... Angular velocity...
Correct answer: Linear velocity... Linear momentum... Angular velocity... Angular momentum- A. 205N
- B. 305N
- C. 405N
- D. 505N
Explanation: The formula for centripetal force is Fc = mv²/r, where:m is the mass of the car (500 kg)v is the speed of the car (9 m/s)r is the radius…
Correct answer: 405N- A. 205 N
- B. 305 N
- C. 405 N
- D. 505 N
Explanation: F = mv2 / RF = 500 × 9 × 9 / 100F = 405 N
Correct answer: 405 N- A. The resultant force acts towards the centre of the circle
- B. There is no resultant force
- C. The resultant force acts away from the centre of the circle
- D. None of these options are correct
Explanation: The resultant force, being the centripetal force, always acts towards the center of the circle in situations where an object is moving in…
Correct answer: The resultant force acts towards the centre of the circle