MCQ on Circular Motion

Q1. A particle moving on a circular path makes 600rpm. In how much time, it will complete one revolution.
0.2s b) 0.1s c) 0.4s d) 0.3s
Q2. A particle moves with constant angular velocity in a circle. During the motion, its
Energy is constant b) momentum is constant c) energy and momentum both are constant d) None of above
Q3. An object is moving in a circle of radius 100m with constant speed of 31.4m/s. What is average speed for one complete revolution?
Zero b) 31.4m/s c) 3.14m/s d) √2 x 31.4m/s
Q4.A stone is tied to one end of the rope and rotated in a circular motion. If the string suddenly breaks, then stone travels
Perpendicular direction b) in the direction of centrifugal force
c) towards centripetal force d) in tangential direction
Q5.A particle is moving along a circular path of radius 5m with a uniform speed 5m/s. What will be the average acceleration when the particle completes half revolution?
Zero b) 10m/s2 c) 10π m/s2 d) 10/πm/s2
Q6. Which of statement is incorrect?
Uniform circular motion is uniformly accelerated motion.
Acceleration in uniform circular motion is always towards centre.
In circular motion dot product of v and ω is always zero.
In any curvilinear path, average speed and average velocity are never equal
Q7. A particle is moving in a curved path with constant speed. Which of the following quantities may remain constant?
Acceleration b) Velocity c) Magnitude of acceleration d) None of these.
Q8. The ratio of angular speed of a second hand to hour hand of a watch is
3600:1 b) 720:1 c) 72:1 d) 60:1
Q9. If the length of second’s hand of a clock is 10cm, the speed of its tip (in cm/s) is nearly
2 b) 0.5 c) 1.5 d) 1 e) 3
Q10. A particle is moving uniformly in a circular path of radius r. when it moves through an angular displacement θ, then the magnitude of the corresponding linear displacement will be
2r cos( θ/2) b) 2r cot( θ/2) c) 2r tan( θ/2) d) 2r sin( θ/2)
Q11. A rotating wheel changes angular speed from 1800rpm to 3000rpm in 20s. What is the angular acceleration assuming to be uniform
60π rad/s2 b) 90π rad/s2 c) 2π rad/s2 d) 40π rad/s2
Q12 In the given figure, a = 15m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time and making angle 300 with OP. The speed of particle is
4.5m/s b) 5.0m/s c) 5.7m/s d) 6.2m/s
Q13. A particle is moving in a circle of radius r centred at O with constant speed v. The change in velocity in moving from A to B is [given angle AOB = 400 (forty degree]
a) 2v cos 400 b) 2v sin 200 c) 2v cosec 400 d) 2v sec 200