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 7 of 16
- A. V/r
- B. r/V
- C. ma
- D. None of these options are correct
Explanation: The formulae for centripetal acceleration are: a = vω a = rω2 a = v2/r where v is the linear speed, r is the radius and ω is angular…
Correct answer: None of these options are correct- A. Increasing
- B. Decreasing
- C. Constant
- D. None of these options are correct
Explanation: We know that centripetal acceleration (a) = v2/r where v is the linear speed and r is the radius.
Correct answer: Decreasing- A. 20 m/s2
- B. 40 m/s2
- C. 30 m/s2
- D. 10 m/s2
Explanation: The formula for centripetal acceleration =v2/r, hence, 202/20=20m/s2
Correct answer: 20 m/s2- A. Revolution
- B. Rotation
- C. Both of them
- D. None of them
Explanation: If an object is undergoing an orbital motion around another object it is called revolution.
Correct answer: Revolution- A. 0°
- B. π /2
- C. 2π
- D. none of these
Explanation: Consider a particle P is moving along a circle with center as the origin as shown in the figure.
Correct answer: none of these- A. 0°
- B. π
- C. 2π
- D. none of these
Explanation: When a particle moves in a circular path, the radius vector points from the center of the circle to the particle, while the centripetal…
Correct answer: π- A. The daily rotation of the earth about its own axis
- B. Jumping of a paratrooper from an helicopter
- C. Flow of a viscous liquid
- D. Rotation of flywheel about its axle
- E. Both the daily rotation of the earth and flywheel about its own axis
Explanation: Spin motion is the movement of an object about its own axis, which is depicted by;(i) the daily motion of the earth(ii)flywheel rotation…
Correct answer: Both the daily rotation of the earth and flywheel about its own axis- A. A ring about its axis perpendicular to the plane of the ring
- B. A solid sphere about one of its diameters
- C. A spherical shell about one of its diameters
- D. A disc about its axis perpendicular to the plane of the disc
Explanation: The moment of inertia for a thin ring is given by I = mr2, where m is the mass and r is the radius.
Correct answer: A ring about its axis perpendicular to the plane of the ring- A. Linear velocity
- B. Linear momentum
- C. Linear acceleration
- D. Inertia
Explanation: Angular momentum is completely analogous to linear momentum. It has the same implications in terms of carrying rotation forward, and it is…
Correct answer: Linear momentum- A. 4.42 m/s
- B. 5.42 m/s
- C. 7.42 m/s
- D. 8.42 m/s
- E. 9.42 m/s
Explanation: Linear speed = Distance / Time Distance = 5 × 2 × pi × r = 5 × 2 × 22/7 × 0.6 = 132 / 7 = 18.85 m speed = 18.85 / 2 = 9.42 m/s
Correct answer: 9.42 m/s- A. Angular momentum... Angular velocity.... Linear momentum....Linear velocity
- 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: A body with translatory motion possesses momentum of two types, linear and angular.
Correct answer: Linear velocity...Linear momentum.... Angular velocity.... Angular momentum- A. 1.0 x 10⁴ N
- B. 3.0 x 10⁴ N
- C. 5.0 x 10⁴ N
- D. 7.0 x 10⁴ N
- E. 9.0 x 10⁴ N
Explanation: Given: mass = 1000kgvelocity = 10m/s radius = 10 mFind: F(centripetal force)=? Formula:F= mv²/r F= 1000×10²/10F= 10000F = 1×10⁴N
Correct answer: 1.0 x 10⁴ N- A. 2400 N
- B. 1200 N
- C. 400 N
- D. 4800 N
Explanation: The formula for the centripetal force will be used here, which is: F=mv2/r Where m is the mass, v is the velocity and r is the radius.
Correct answer: 2400 N- A. 6.5 m
- B. 7.0 m
- C. 7.5 m
- D. 1.75 m
Explanation: The formula to be used here:S=rθ {where S is the arc length or the linear displacement, r is the radius and θ is the angle in radians}S=…
Correct answer: 7.0 m- A. 170
- B. 160
- C. 360
- D. 420
Explanation: The ratio of diameters is 30:20=3:2. The circumferences are also in the same ratio of diameters.
Correct answer: 360- A. 3.2 m/s
- B. 5.4 m/s
- C. 7.8 m/s
- D. 9.2 m/s
Explanation: This is the following solution: Let m and l be the mass and the length of the meter stick respectively then its center will be situated at…
Correct answer: 5.4 m/s- A. 5 : 2
- B. 5 : 8
- C. 4 : 1
- D. 2 : 1
Explanation: This is the following solution: Moment of inertia of a solid sphere=2/5mr², Moment of inertia of disk=1/2mr² By taking their ratio answer…
Correct answer: 5 : 2- A. 0.07 J
- B. 0.014 J
- C. 0.025 J
- D. 1.25 J
Explanation: The correct option is B. When calculating the kinetic energy of a rolling object, both the translational and rotational kinetic energy…
Correct answer: 0.014 J- A. 4:5
- B. 5:8
- C. 4:1
- D. 2:1
Explanation: The moment of inertia (I) for a solid sphere about its diameter is given by the formula I = (2/5) m R2, while the moment of inertia for a…
Correct answer: 4:5- A. I
- B. I/√2
- C. I/2
- D. I/4
Explanation: The moment of inertia of a disc about its central axis perpendicular to its plane is I.
Correct answer: I/2