iCON Education - Circular Motion AP-EAPCET Test

Question 1: Palette 1/12

AP-EAPCET 2025 MCQ

If a stone of mass 0.5 kg tied to one end of a wire is whirled in a circular path of radius 2 m with a speed $40 \mathrm{rev} / \mathrm{min}$ in a horizontal plane, then the tension in the wire is nearly

14.8 N

12.4 N

17.5 N

20.8 N

Question 2: Palette 2/12

AP-EAPCET 2025 MCQ

A wire of length 2.5 m is fixed at one end and a box of mass 4 kg is tied at the other end. If the wire rotates in a horizontal circle about the fixed end with $\frac{2}{\pi}$ rotations per second, then the tension in the wire is

16 N

32 N

64 N

160 N

Question 3: Palette 3/12

AP-EAPCET 2025 MCQ

If a particle of mass ' $m$ ' covers half of the horizontal circle with constant speed ' $v$ ', then the change in its kinetic energy is

$m v^2$

zero

$2 m v^2$

$\frac{1}{2} m v^2$

Question 4: Palette 4/12

AP-EAPCET 2025 MCQ

Ratio of angular velocity of hour hand of a watch and the angular velocity of rotation of Earth is

$1: 1$

$2: 1$

$4: 1$

$1: 2$

Question 5: Palette 5/12

AP-EAPCET 2024 MCQ

The centripetal acceleration of a particle in uniform circular motion is $18 \mathrm{~ms}^{-2}$. If the radius of the circular path is 50 cm , the change in velocity of the particle in a time of $\frac{\pi}{18} \mathrm{~s}$ is

$9 \mathrm{~ms}^{-1}$

$2 \mathrm{~ms}^{-1}$

$3 \mathrm{~ms}^{-1}$

$6 \mathrm{~ms}^{-1}$

Question 6: Palette 6/12

AP-EAPCET 2024 MCQ

A particle revolving in a circular path travels the first half of the circumference in 4 s and the next half in 2 s . What is its average angular velocity?

$\frac{4 \pi}{9} \mathrm{rad} / \mathrm{s}$

$\frac{\pi}{6} \mathrm{rad} / \mathrm{s}$

$\frac{2 \pi}{3} \mathrm{rad} / \mathrm{s}$

$\frac{\pi}{3} \mathrm{rad} / \mathrm{s}$

Question 7: Palette 7/12

AP-EAPCET 2024 MCQ

A small disc is on the top of a smooth hemisphere of radius $R$. The smallest horizontal velocity $v$ that should be imparted to the disc, so that disc leaves the hemisphere surface without sliding down is ( there is no friction )

$v=\sqrt{g^2 R}$

$v=\sqrt{2 g R} 4$

$v=\sqrt{g R}$

$v=\sqrt{\frac{g}{R}}$

Question 8: Palette 8/12

AP-EAPCET 2024 MCQ

A wheel of angular speed $600 \mathrm{rev} / \mathrm{min}$ in is made to slow down at a rate of $2 \mathrm{rad} \mathrm{s}^{-2}$. The number of revolutions made by the wheel before coming to rest is

157

314

177

117

Question 9: Palette 9/12

AP-EAPCET 2021 MCQ

A body of mass 10 kg is attached to a wire of 0.3 m length. The breaking stress is 4.8 $\times$ 10$^7$ Nm$^{-2}$. The area of cross-section from the wire is 10$^{-6}$ m$^{2}$. The maximum angular velocity with which it can be rotated in a horizontal circle is

4 rad s$^{-1}$

8 rad s$^{-1}$

16 rad s$^{-1}$

32 rad s$^{-1}$

Question 10: Palette 10/12

AP-EAPCET 2021 MCQ

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/h. The centripetal force acting on the car is

250 N

750 N

1000 N

1200 N

Question 11: Palette 11/12

AP-EAPCET 2021 MCQ

A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius $8.0 \mathrm{~m}$, with minimum speed of $5 \sqrt{5} \mathrm{~ms}^{-1}$. The minimum value of coefficient of friction between the tyres and the wall of the well must be $\left(g=10 \mathrm{~ms}^{-2}\right)$

0.10

0.64

0.30

0.40

Question 12: Palette 12/12

AP-EAPCET 2021 MCQ

Assertion (A) Two identical trains move in opposite senses in equatorial plane with same speeds relative to the Earth’s surface. They have equal magnitude of normal reaction.

Reason (R) The trains have different centripetal accelerations due to different speeds.

Both A and R are true and R is a correct explanation for A.

Both A and R are true but R is not a correct explanation for A.

A is true, R is false.

A is false, R is true.