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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- A. v equals omega divided by r
- B. v equals r divided by omega
- C. v equals r omega
- D. v equals r squared omega
Explanation: In one second the body sweeps an angle omega, covering an arc of length r omega, so the linear speed is r omega with omega in radians per…
Correct answer: v equals r omega- A. v squared divided by r, directed towards the centre
- B. v squared times r, directed away from the centre
- C. v divided by r squared, directed along the tangent
- D. zero, since the speed is constant
Explanation: The acceleration has magnitude v squared over r, equivalently r omega squared, and always points at the centre, which is why it is called…
Correct answer: v squared divided by r, directed towards the centre- A. 200 N
- B. 2000 N
- C. 5000 N
- D. 10000 N
Explanation: The force is mv squared over r, which is 1000 times 100 divided by 50, giving 2000 N.
Correct answer: 2000 N- A. the mass of the car only
- B. the speed and the radius of the curve
- C. the weight of the passengers
- D. the width of the road
Explanation: Setting the horizontal component of the normal force equal to mv squared over r gives tan theta equal to v squared over rg, and the mass…
Correct answer: the speed and the radius of the curve- A. the vacuum of space
- B. its own centrifugal force
- C. the gravitational pull of the Earth acting as the centripetal force
- D. the thrust of its engines
Explanation: Gravity supplies exactly the inward force needed to bend the satellite's straight line motion into a circle, so no engine is required once…
Correct answer: the gravitational pull of the Earth acting as the centripetal force- A. 1 hour
- B. 12 hours
- C. 24 hours
- D. 365 days
Explanation: To stay above the same point on the equator the satellite must complete one orbit in exactly the time the Earth takes to rotate once…
Correct answer: 24 hours7. A stone is whirled in a horizontal circle on a string. If the string suddenly breaks, the stone will
- A. fly radially outwards from the centre
- B. move along the tangent to the circle at the point of release
- C. fall straight down at once
- D. spiral outwards while slowing down
Explanation: With the centripetal force gone, no force acts horizontally and Newton's first law takes over, so the stone keeps the velocity it had at…
Correct answer: move along the tangent to the circle at the point of release- A. v equals the square root of rg
- B. v equals rg
- C. v equals zero
- D. v equals the square root of 2rg
Explanation: At the critical speed the normal reaction falls to zero and gravity alone provides the centripetal force, so mg equals mv squared over r…
Correct answer: v equals the square root of rg- A. twice the angular speed and the same linear speed
- B. the same angular speed and twice the linear speed
- C. half the angular speed
- D. the same linear speed
Explanation: Every point on a rigid rotating body sweeps the same angle in the same time, so the angular speed is common to all of them.
Correct answer: the same angular speed and twice the linear speed- A. Spin motion
- B. Orbital motion
- C. Rectilinear motion
- D. Translatory motion
Explanation: When a body rotates about an axis passing through itself, its particles move around that internal axis, and the motion is called spin…
Correct answer: Spin motion- A. v=rw
- B. r=vw
- C. s=r
- D. ∆s/∆t
Explanation: For a point at distance r from the axis, linear speed is related to angular speed by v = rω, where v is in m/s, r is in m, and ω is in…
Correct answer: v=rw- A. 70 km/s
- B. 60 km/s
- C. 45 km/s
- D. 30 km/s
Explanation: Earth travels around the Sun at an average orbital speed of about 30 km/s.
Correct answer: 30 km/s13. An artificial satellite revolves round the Earth in circular orbit, which quantity remains constant?
- A. Angular Momentum
- B. Angular Displacement
- C. Linear Velocity
- D. None of the above
Explanation: In a circular orbit under a central gravitational force, the force produces no torque about the Earth's centre, so angular momentum…
Correct answer: Angular Momentum- A. 0
- B. π2
- C. 2 π2
- D. 4 π2
Explanation: The speed is circumference divided by time: v = 2π(1.0 m) ÷ 2.0 s = π m/s.
Correct answer: π2- A. magnitude
- B. direction
- C. both
- D. None of these
Explanation: In uniform circular motion, the speed's magnitude remains constant but its velocity changes direction continuously, producing centripetal…
Correct answer: direction- A. Moment
- B. Momentum
- C. Torque
- D. None of these
Explanation: The turning effect of a force about a pivot is called torque, with magnitude τ = force x perpendicular distance and unit N m.
Correct answer: Torque- A. 365 days
- B. 730 days
- C. 329 days
- D. 129 days
Explanation: For circular planetary orbits, Kepler’s third law gives T proportional to r^3/2.
Correct answer: 129 days- A. 4
- B. 3
- C. 2
- D. 5
Explanation: Three properly placed geostationary communication satellites can provide continuous coverage of the Earth because each satellite covers…
Correct answer: 3- A. An inertial frame of reference
- B. Non-inertial frame
- C. Neither inertial nor non-inertial
- D. Both inertial and non-inertial
Explanation: A satellite moving in a circular orbit continually changes the direction of its velocity, so it has centripetal acceleration toward Earth.
Correct answer: Non-inertial frame- A. Venus
- B. Mercury
- C. Uranus
- D. Sun
Explanation: In the conventional school-level comparison of planetary orbits, Venus is regarded as Earth’s nearest neighboring planet because its orbit…
Correct answer: VenusAngular and Linear Quantities MCQs: common questions
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