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 15 of 16
- A. 1800N
- B. 18N
- C. 180kN
- D. 18kN
Explanation: Given, m = 2000 kg v = 30m/s r = 10 m Formula, Centripetal force = (mv)2 / r Substituting the given data in the above equation we get, F=…
Correct answer: 180kN- A. 42 m/s2
- B. 52 m/s2
- C. 32 m/s2
- D. 30 m/s2
Explanation: using the formula: ac = v2 / rwhere ac is the centripetal acceleration, v is the velocity of the object, and r is the radius of the…
Correct answer: 32 m/s2- A. Equal
- B. Zero
- C. Maximum
- D. None of these options are correct
Explanation: Option B is correct since centripetal force and centrifugal force are equal in magnitude and opposite in direction, so it will also be zero.
Correct answer: Zero284. For an object moving in a circle, the angle between linear velocity and the position vector is _.
- A. 0 degrees
- B. 30 degrees
- C. 90 degrees
- D. 60 degrees
Explanation: The direction of angular velocity is tangent to the circle and the direction of the position vector is towards the center.
Correct answer: 90 degrees- A. Along the radius away from the centre
- B. Along the radius towards the centre
- C. Changing with motion
- D. Along the tangent
Explanation: Linear velocity is also called tangential velocity as its direction is always tangent to the point at which the object is placed on the…
Correct answer: Along the tangent- A. rad/sec
- B. sec/rad
- C. sec2
- D. None of these
Explanation: The units of angular acceleration are radians per second (rad/s). Angular acceleration is the rate of change of angular velocity, and its…
Correct answer: None of these- A. 1.6 rad/s2
- B. 8 rad/s2
- C. 16 rad/s2
- D. 160 rad/s
Explanation: Vf=72km/hr=72 × 1000 / 60× 60 =20m/sec(convert km/hr to m/sec).Diameter=2r=50cm r= 25×10-2 Wf=Vf/r=20/25 × 10-2 =80rad/By…
Correct answer: 16 rad/s2- A. 400:1
- B. 14:20
- C. 800:1
- D. 7:40
Explanation: Initial angular speed of the particle, ω1 = 2 rad/s Final angular speed of the particle, ω2 = 40 rad/s Radius of the circle, r = 20 cm =…
Correct answer: 800:1- A. Faster than.
- B. Slower than.
- C. Equal to.
- D. None f these.
Explanation: a) Faster than: This option suggests that the cylinder with the larger diameter accelerates at a faster rate than the other cylinder under…
Correct answer: Faster than.- A. 16 ms-1
- B. 4 ms-1
- C. 10 ms-1
- D. 6 ms-1
Explanation: Explanation: The linear velocity or tangential velocity (v) of a particle moving in a circular path is given by the product of the radius…
Correct answer: 16 ms-1- A. τ = mr2π
- B. τ = mr2α
- C. τ = mrα
- D. τ = mr2 /α
Explanation: Explanation:Torque in circular motion is the rotational equivalent of force in linear motion.
Correct answer: τ = mr2α- A. Zero
- B. Fl
- C. Fl sin θ
- D. Fl sin θλ
Explanation: The torque exerted by a force is calculated as the product of the force and the perpendicular distance from the pivot point to the line of…
Correct answer: Zero- A. 1/2 mL2
- B. 1/4 m3L
- C. 1/12 mL
- D. 1/12 mL2
Explanation: The moment of inertia of an object is a measure of its resistance to changes in its rotation.
Correct answer: 1/12 mL2- A. (OP)(F tanϴ)
- B. (OP)(F)
- C. (OP)(F sinϴ)
- D. (OP)(F cosϴ)
Explanation: Torque is the cross product between the distance vector (the distance from the pivot point to the point where force is applied) and the…
Correct answer: (OP)(F cosϴ)- A. 3:4
- B. 2:3
- C. 3:2
- D. 4:3
Explanation: When objects are rotated with constant angular acceleration, the ratio of torques is directly proportional to the ratio of moments of…
Correct answer: 2:3- A. Half
- B. Three-times
- C. Two-times
- D. Four-times
Explanation: A moment arm is basically defined as the length between a joint axis and the line of force acting on that joint.
Correct answer: Two-times- 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