### Circular Motion Questions (Physics):

An annular ring with inner and outer radii *R*_{1} and *R*_{2} is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two situated on the inner and outer parts of the ring is

(a) R_{2}/R_{1}

(b) R_{1}/R_{4
}(c) 1

(d) R_{1}/R_{2}

A body exhibiting circular motion moves in

(a) straight line path

(b) circular path

(c) zig-zag path

Motion of moon around the earth is an example of

(a) Uniform circular motion

(b) Circular motion

(c) Both (a) and (b)

Uniform circular motion is accelerated motion because

(a) Speed changes continuously

(b) Velocity changes continuously

(c) both speed and velocity changes continuously

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An inclined plane ends into a vertical loop of radius *R*. A particle is released from a height 3*R*. Can it loop the loop?

(a) yes

(b) no

(c) cannot say

(d) yes if friction is present

The angle through which radius vector rotates in a given time is called

(a) angular velocity

(b) angular displacement

(c) angular acceleration

A fighter plane is pulling out for a dive at 900 km/h in a vertical circle of radius 2 km. Its mass is 5000 kg. Find the force exerted by the air on it at the lowest point.

(a) 2.0625 x 10^{4} N upward

(b) 2.0625 x 10^{5} N downward

(c) 2.0625 x 10^{5} N upward

(d) 2.0625 x 10^{4} N downward

A car moves on a curved but level road. The necessary centripetal force on the car is provided by

(a) inertia

(b) gravity

(c) friction between the tyres and the road

(d) normal reaction of the car

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A circular track of radius 300 m is banked at an angle *Ï€/12* radian. If the coefficient of friction between wheel of a vehicle and road is 0.2, the maximum safe speed of vehicle is

(a) 28 ms^{–}

(b) 38 ms^{–
}(c) 18 ms^{–}

(d) 48 ms^{–}

A stone of mass 1 kg, tied to a string of length 2m, is made to rotate in circle with a frequency of 3 cycle/s. What centripetal force will have to be applied along the string?

(a) 720N

(b) 600N

(c) 750N

(d) 820 N

In uniform circular motion

(a) velocity is constant

(b) angular velocity is constant

(c) angular acceleration is constant

An ant crawl around a circular track of arc length 22cm. At an instant it makes an angular displacement 45Â°, then the radius of that circular track is ______.

(a) 0.20m

(b) 1.80m

(c) 0.18m

(d) 0.28m

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Uniform linear motion ( i.e., body moving with uniform speed along a straight line) is

(a) An accelerated motion

(b) Not an accelerated motion

A circular disc is rotating about its own axis at the rate of 200 revolutions per minute. Two particles P & Q of disc are at distances 5cm, 10cm from axis of rotation, The ratio of linear velocities of P and Q is

(a) 1:2

(b) 1:1

(c) 2:1

(d) 4:1

In revolution of earth round the sun, centripetal force is

(a) electrical force

(b) magnetic force

(c) gravitational force

A point on the wheel of 400cm diameter has a velocity of 1600cm/s. The angular velocity of the wheel is ______.

(a) 8 rad/s

(b) 4 rad/s

(c) 12 rad/s

(d) 2 rad/s

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The rate of angular displacement is called

(a) angular velocity

(b) angular acceleration

(c) angular displacement

A particle moves in a circle of radius 20cm with a linear speed of 10m/s. Find the angular velocity.

(a) 50rad/s

(b) 40rad/s

(c) 30rad/s

(d) 20rad/s

A particle performs uniform circular motion. If the radius of the circle is 0.5m and the speed of the particle is 10m/s. Find the centripetal acceleration of the particle.

(a) 200m/s^{2}

(b) 300m/s^{2}

(c) 100m/s^{2}

(d) 400m/s^{2}

When a particle moves in a circle with a uniform speed

(a) its velocity and acceleration are both constant

(b) its velocity is constant but the acceleration changes

(c) its acceleration is constant but the velocity changes

(d) its velocity and acceleration both change

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When a racing car undergoes a circular turns of radius R_{A} and R_{B} Â with uniform speed such that RA is greater than RB in which path of radius, the acceleration is more

(a) R_{A}

(b) R_{B}

(c) same at R_{A} and R_{B}

An object follows a curved path. The following quantities may remain constant during the motion

(a) speed

(b) velocity

(c) acceleration

(d) magnitude of acceleration

A stone tied to the end of a string 80cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25s, what is the magnitude of radial acceleration of the stone?

(a) 1.8ms^{-2}

(b) 9.9ms^{-2}

(c) 10.1ms^{-2}

(d) 11.2 ms^{-2}

The magnitude of centripetal force depends on

(a) mass of the body

(b) radius of the circular path

(c) linear velocity of the body

(d) all of these

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What centripetal force is required to move a body of mass 2 kg with a velocity of 1 m/s in a circle of radius 5m?

(a) 1.2 N

(b) 1.3 N

(c) 0.4 N

(d) 1.5 N

A body of mass 0.1kg performs uniform circular motion with a speed of 30m/s. If the radius of the circle is 3m, find the centripetal force acting on the body.

(a) 30N

(b) 20N

(c) 10N

(d) 40N

An ant crawl around a circular track of arc length 22cm. At an instant it makes an angular displacement 45Â°, then the radius of that circular track is _______.

(a) 0.20m

(b) 1.80m

(c) 0.18m

(d) 0.28m

A flywheel is rotating about its own axis at an angular velocity 11 rad sâ€“1, its angular velocity in revolution per minute is

(a) 105

(b) 210

(c) 315

(d) 420

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A particle is moving with uniform speed 0.5m/s along a circle of radius 1m then the angular velocity of particle is

(a) 2 rad s^{-1}

(b) 1.5 rad s^{-1}

(c) 1 rad s^{-1}

(d) 0.5 rad s^{-1}

A circular disc is rotating about its own axis at the rate of 200 revolutions per minute. Two particles P.Q of disc are at distances 5cm, 10cm from axis of rotation, The ratio of angular velocities of P and Q is

(a) 1:2

(b) 1:1

(c) 2:1

(d) 4:1

A point on the wheel of 400cm diameter has a velocity of 1600cm/s. The angular velocity of the wheel is _____.

(a) 8 rad/s

(b) 4 rad/s

(c) 12 rad/s

(d) 2 rad/s

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A particle moves in a circle of radius 20cm with a linear speed of 10m/s. Find the angular velocity.

(a) 50rad/s

(b) 40rad/s

(c) 30rad/s

(d) 20rad/s

Find the acceleration of the moon with respect to the earth from the following data:Â Distance between the earth and the moon = 3.85 Ã— 10^{5} km and the time taken by the moon to complete one revolution around the earth = 27.3 days.

(a) 2.73 Ã— 10^{-3} m/s^{2}

(b) 4.73 Ã— 10^{-3} m/s^{2}

(c) 4.73 Ã— 10^{-2} m/s^{2}

(d) 1.73 Ã— 10^{-3} m/s^{2}

Find the acceleration of a particle placed on the surface of the earth at the equator due to earthâ€™s rotation. The diameter of earth = 12800 km and it takes 24 hours for the earth to complete one revolution about its axis.

(a) 0.44m/s^{2}

(b) 0.33 m/s^{2}

(c) 4.4m/s^{2}

(d) 3.3m/s^{2}

A stationary wheel starts rotating about its own axis at constant angular acceleration. If the wheel completes 50 rotations in first 2seconds, then the number of rotations made by it in next two seconds.

(a) 75

(b) 100

(c) 125

(d) 150

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A stationary wheel starts rotating about its own axis at an angular acceleration 5.5 rad/s^{2}. To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

(a) 14

(b) 21

(c) 28

(d) 35

A stationary wheel starts rotating about its own axis at uniform angular acceleration 8rad/s2. The time taken by it to complete 77 rotations is

(a) 5.5sec

(b) 7sec

(c) 11sec

(d) 14sec

A stone tied to the end of 20cm long string is whirled in a horizontal circle. If the centripetal acceleration is 9.8ms^{-2}, its angular speed in radian/s is

(a) 22/7

(b) 7

(c) 14

(d) 20

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A motor car is travelling at 30ms^{-1} on a circular road of radius 500m. The acceleration is

(a) 1.8 ms^{-2}

(b) 2 ms^{-2}

(c) 3.8 ms^{-2}

(d) 2.7 ms^{-2}

An aircraft executes a horizontal loop of radius 1 km with a steady speed ofÂ 900 kmh^{-1}. The ratio of its centripetal acceleration and the acceleration due to gravity is _____. [g = 10ms^{-2}]

(a) 62.5

(b) 6.25

(c) 31.25

(d) 3.125

A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?

(a) 1.8 ms^{-2}

(b) 9.9 ms^{-2}

(c) 10.1 ms^{-2}

(d) 11.2 ms^{-2}

A particle is kept fixed on a turntable rotating uniformly. As seen from the ground, the particle goes in a circle, its speed is 20cm/s and acceleration is 20cm/s^{2}. The particle is now shifted to a new position to makes the radius half of the original value. The new values of the speed and acceleration will be

(a) 10cm/s, 10cm/s^{2}

(b) 10cm/s, 80cm/s^{2}

(c) 40cm/s, 10cm/s^{2}

(d) 40cm/s, 40cm/s^{2}

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A particle of mass 14g attached to a string of 70 cm length is whirled round in a horizontal circle. If the period of revolution is 2 second, calculate the tension

(a) 9680 dyne

(b) 9660 dyne

(c) 966 dyne

(d) 968 dyne

A mass of 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 rpm. Keeping the radius constant, the tension in the string is doubled. The new speed is nearly

(a) 14 rpm

(b) 10 rpm

(c) 20 rpm

(d) 7 rpm