A wheel starts from rest with a constant angular acceleration of 2 rad/s². Through what angle does it turn in 10 s?
Correct answer C. 100 rad
Topic / 30 questions
Rotational and Circular Motion MCQs
Rotational and Circular Motion MCQs cover angular displacement in radians, angular velocity and acceleration, and the relations between linear and angular quantities for bodies moving in a circle. They suit MDCAT, ECAT and FSc revision, and every question on MCQs360 shows its correct answer instantly so you can learn from each attempt.
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A point on the rim of a disc of radius 0.4 m completes 3 revolutions. What distance does the point travel?
Correct answer C. 7.54 m
The Earth rotates once about its axis in 24 hours. What is its angular speed?
Correct answer C. 7.27 × 10⁻⁵ rad/s
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A car moves at 21 m/s on wheels of radius 0.35 m without slipping. What is the angular speed of each wheel?
Correct answer C. 60 rad/s
A wheel makes 5 complete revolutions. What is its angular displacement in radians?
Correct answer C. 31.4 rad
A particle moves in a circle of radius 2 m with a constant angular speed of 3 rad/s. What is its centripetal acceleration?
Correct answer B. 18 m/s²
A disc has an angular acceleration of 4 rad/s². What is the tangential acceleration of a point 0.25 m from its axis?
Correct answer D. 1 m/s²
What is the angular speed of the seconds hand of a clock?
Correct answer D. π/30 rad/s
A flywheel starts from rest and reaches 30 rad/s in 6 s with uniform angular acceleration. What is its angular acceleration?
Correct answer C. 5 rad/s²
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A wheel of radius 0.3 m rotates at 20 rad/s. What is the linear speed of a point on its rim?
Correct answer B. 6 m/s
A point on a circle of radius 0.5 m turns through an angle of 3 rad. What distance does it travel along the arc?
Correct answer B. 1.5 m
A wheel turns at 1200 revolutions per minute. What is its angular speed?
Correct answer D. 126 rad/s
What is 60° expressed in radians?
Correct answer A. 1.05 rad
In the relation θ = s/r for angular displacement, what does s represent?
Correct answer C. The arc length travelled along the circle
A body moves in a circle with constant angular velocity. Which statement about its accelerations is correct?
Correct answer B. Angular acceleration is zero but centripetal acceleration is not
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A wheel lying in the plane of the page rotates clockwise as seen by the reader. Which way does its angular velocity point?
Correct answer D. Into the page
What is the SI unit of angular displacement?
Correct answer C. Radian
Why is the radian considered a dimensionless quantity?
Correct answer B. It is the ratio of two lengths, arc length to radius
Which statement is true for a body in uniform circular motion?
Correct answer C. Its speed is constant but its velocity changes
How does the angular speed of the minute hand of a clock compare with that of the hour hand?
Correct answer D. It is 12 times greater
About Rotational and Circular Motion MCQs
Questions start with units of angle, converting between revolutions, degrees and radians and using θ = s/r. They then cover angular velocity, including its direction by the right-hand rule and the angular speed of clock hands, and angular acceleration. Many MCQs test the links between linear and angular quantities: v = rω, aₜ = rα and centripetal acceleration v²/r = rω². You will also compare the angular and linear speeds of different points on a rotating rigid body.
Key facts to remember
- Angular displacement in radians: θ = s/r, where s is arc length and r is radius.
- 1 revolution = 2π rad = 360°, so 1 rad ≈ 57.3°.
- Linear and angular quantities: v = rω and aₜ = rα; in vector form v = ω × r.
- Centripetal acceleration: a_c = v²/r = rω², directed towards the centre.
- All points on a rigid rotating body share the same ω, but linear speed increases with distance from the axis.
- The direction of angular velocity is given by the right-hand rule and lies along the axis of rotation.
Exams that include Rotational and Circular Motion MCQs
Pakistan
- MDCAT
- ECAT (UET)
- NUMS
- AKU
- FSc boards
India
- NEET
- JEE Main
Bangladesh
- HSC
- Medical Admission Test
How to prepare for Rotational and Circular Motion MCQs
- Convert rpm to rad/s by multiplying by 2π and dividing by 60 before using any formula.
- Remember the seconds hand of a clock has ω = 2π/60 ≈ 0.105 rad/s.
- Practise the right-hand rule: anticlockwise rotation seen from above gives ω pointing towards you.
- Link this unit with Force and Motion, since centripetal force is simply F = mv²/r.
Frequently asked questions
Which exams ask Rotational and Circular Motion MCQs?
Rotational and Circular Motion is part of the FSc physics syllabus, so its MCQs appear in MDCAT, ECAT (UET), NUMS and AKU entry tests and in FSc board papers. Students in India meet the same ideas in NEET and JEE Main, and Bangladeshi students in HSC and the medical admission test.
What is a radian?
A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. Since the circumference is 2πr, one full revolution equals 2π radians or 360°, so one radian is about 57.3°. The radian is the SI unit for angular displacement.
Last reviewed October 2026