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 9 of 16
- A. mω
- B. -mω2r
- C. -mω2/r r
- D. mω²/r
Explanation: Option B is correct.The vector form of centripetal force is:Fc = -mω²r where:Fc is the centripetal force (N).m is the mass of the particle…
Correct answer: -mω2r- A. w=1/T, v=4πr/T, a=2πr/T2
- B. w=2π/T, v=2πr/T, a=4π2r/T2
- C. w=2π/T, v=2πr/T, a=2πr/T2
- D. w=2π/T, v=4πr/T, a=4π2r/T2
Explanation: The correct option is b), where the magnitudes of the angular velocity, linear velocity, and acceleration are w=2π/T, v=2πr/T, a=4π2r/T2…
Correct answer: w=2π/T, v=2πr/T, a=4π2r/T2- A. Along the circumference of the circle
- B. Along the radius
- C. Along the tangent
- D. Zero
Explanation: Option B is correct. When a body revolves with uniform speed, the linear acceleration a and angular acceleration α are zero.
Correct answer: Along the radius- A. Centripetal force
- B. Gravitational force
- C. Centrifugal force
- D. All the above
Explanation: Option C is correct. A car is moving with high velocity when it makes a turn. A force acts on it outwardly because of centrifugal force.
Correct answer: Centrifugal force- A. 10 N
- B. 20 N
- C. 30 N
- D. 40 N
Explanation: Option B is correct.Given data:m=5kg, r=1m, w= 2 radian/secFind out: Fc=?Solution:Fc=mrw2=5*1*(2)2=20NExplanation: The centripetal force…
Correct answer: 20 N- A. Towards the center
- B. Along the tangential velocity
- C. Away from center
- D. Along the axis of rotation
Explanation: Option A is correct. The direction of the centripetal force is towards the centre of the circle.
Correct answer: Towards the center- A. 100 N
- B. 1.6 x 10^6 N
- C. 1.6 x 10^4N
- D. 8 x 10^4N
Explanation: Option C is correct.Given data:m=1000kg, v=40ms-1, r=100mFind out: Fc=?Solution:According to the centripetal force…
Correct answer: 1.6 x 10^4N- A. Half
- B. One third
- C. Doubled
- D. One fourth
Explanation: If the radius is halved, the centripetal force will be doubled. Remember the direct relationship between force and radius.Fc=mv2/rnew…
Correct answer: Doubled- A. π2/4N
- B. π2N
- C. π2/2N
- D. 2π2N
Explanation: Option A is correct.To calculate tension, we use the formula Tension = force x extension, which can also be written as m x l x w2.First…
Correct answer: π2/4N- A. mP2/r
- B. rm/P
- C. P2/mr
- D. Pmr
Explanation: Option C is correct.The radial force is the centripetal force that keeps the particle moving in a circular path.
Correct answer: P2/mr- A. π2/4ms-2 and direction along the radius towards the centre
- B. π2ms-2 and direction along the radius towards the centre
- C. π2ms-2 and direction along the radius away from the centre
- D. π2ms-2 and direction along the tangent to the circle
Explanation: a=v²/r = ω²r = 4π²n²r = 4π² (22/44)² × 1 = π²m/s², and its direction is always along the radius and towards the centre.
Correct answer: π2ms-2 and direction along the radius towards the centre- A. Mass of a body
- B. Tension in the string
- C. Velocity of a body
- D. Centripetal acceleration
Explanation: Option B is correct. Yes, the centripetal force is supplied by the tension in the string.
Correct answer: Tension in the string- A. 5m/s2
- B. 25m/s2
- C. 0.5m/s2
- D. 50m/s2
Explanation: To find the centripetal acceleration of the body moving in a circle, we can use the formula:Centripetal acceleration (ac) = (velocity…
Correct answer: 5m/s2- A. Angular momentum remains constant
- B. Acceleration is toward the center
- C. Particle moves on a spiral path with decreasing radius
- D. The direction of angular momentum remains constant
Explanation: Amongst the given options, only D is correct. The angular momentum, as we saw, changes in magnitude, but its change if the directions of…
Correct answer: The direction of angular momentum remains constant- A. 1
- B. R1/R2
- C. R2/R1
- D. (R2/R1)2
Explanation: F=mw2rAs both points are on the same ring, they will have the same m and w.So, f is proportional to r.F1/F2=R1/R2.
Correct answer: R1/R2- A. 2πmrf
- B. 4π2mrf
- C. 4π2mrf2
- D. π2mrf-2
Explanation: The centripetal force can be calculated using Fc = mrw2, which simplifies to Fc = 4π2mrf2 in this case.
Correct answer: 4π2mrf2177. rω2 has unit of
- A. N
- B. ms-1
- C. ms-3
- D. ms-2
Explanation: rω2 has a unit of ms-2, which is the same as linear acceleration. The correct option is D.
Correct answer: ms-2- A. 7.0m/s
- B. 14πrad/s
- C. 7.0πrad/s
- D. 0.70m/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. v2/r
- B. rω2
- C. vω
- D. All of these
Explanation: Centripetal acceleration is the acceleration directed towards the center of the circle that keeps an object moving in circular motion.
Correct answer: All of these- A. v and r
- B. r and ω
- C. v and ω
- D. All are correct
Explanation: In the equation v=ω×r, the linear velocity (v) is the cross product of angular velocity (ω) and the radius (r), implying that ω and r are…
Correct answer: r and ω