Circular Motion

Two cylinders of equal mass are made from the same material. The one with the larger diameter accelerates _____ the other under the action of the same torque.

A disc at rest without slipping, rolls down a hill of height (3 x 9.8) m. What is its speed in m/sec when it reaches the bottom?

When the spaceship rotates with _ frequency, the artificial gravity like earth is produced to inhabitants of the ship

What is torque 'τ' in a circular motion?

Linear velocity or tangential velocity of any particle moving in a circular path of radlus 2m with angular velocity 8 rad s^-1 will be:

If the body is rotating with uniform angular velocity, then its torque is:

A wheel of radius 1m covers an angular displacement of 180. Its linear displacement is:

The moment of inertial of a thin rod is:

When a lift is accelerated upward, the apparent weight of an object in it will be:

An elevator is moving upwards with constant velocity of ‘v’. What is the weight of a person of a mass ‘m’ inside the elevator during upward motion?

Radian is a unit of angular displacement that can also be measured in degrees. How many radians are equal to one degree?

An object of mass ‘m’ is suspended in an elevator moving downward with acceleration equal to acceleration due to gravity. What is the apparent weight of object?

Due to some mechanical fault, a lift falls freely from the top of a multistory building. Which of the following is the apparent weight of a man inside the lift, if the mass of the man is 80 kg while the value of 'g' is 10 ms^-2?

The ratio of moment of inertia of two objects 'A' and 'B' is 2:3. Which one of the following is the ratio of torques of 'A' and 'B' respectively if both are being rotated with constant angular acceleration?

A 100kg man is standing in an elevator, which accidentally falls freely. What will be the weight of the person in the freely falling elevator (take g=10 m/s²)

A body is having weight 20 N, when the elevator is descended with a = 0.1ms^-2, then the value of tension ‘T’ is:

A man in an elevator ascending with acceleration will conclude that his weight is:

A moon rotates about its axis. In the future, scientists may wish to put a satellite into an orbit around the moon such that the satellite remains stationary above one point on moon surface, the period of rotation of moon about its axis is 27.4 days, what is the radius of required orbit? Mass of the moon =7.35x10²²kg

A body moves in a circle with increasing angular velocity, at time 't'=6s the angular velocity is 27 rad/s… What is the radius of circle where linear velocity is 81cm/s:

A body is moving in a circular path with constant speed. Which combination will cause the largest turning effect about the pivot?

Angular speed of minutes hand of mechanical watch is:

An object is moving along a circular path of radius 4m. What will be its angular displacement if it moves 14 m on this circular path?

A fighter plane is moving in a vertical circle of radius r. Its minimum velocity at the highest point of the circle will be?

If a flywheel is rotating at 3.0 rad/s, the time it takes to complete one revolution is

The number of revolutions in 3π radians is:

0ne degree is equal to:

If a particle is moving with uniform circular motion, then:

The circular line has a fix distance from _______?

One radian is analogous to:

An air craft makes a turn in a horizontal circle of radius 100 m. It is travelling with a velocity of 250 m/sec. The angular velocity of the air craft will be:

The centripetal acceleration of an object moving along a circle of radius with an angular speed is given by the formula:

A phase difference of 90° is equal to:

An angular displacement of 90° is equal to:

A body is moving in a circular path with acceleration 'a', If the speed of the body is increased to four times the initial value, the acceleration will become:

Which of the following changes when a body performs uniform circular motion?

Four particles have the following masses (in terms of m), speeds (in terms of v), and radii (in terms of r). Which particles have the same centripetal force as particle-1?

A point on the wheel of 4m diameter has a velocity of 1600cm/s. The angular velocity of the wheel is:

A particle describes a circular path of diameter 20m every 2s,the average angular speed of the particle during 4s is :

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion takes place in a plane. It follows that:

A particle is moving in a circle of radius 'r'. In one period of revolution, its displacement and distance covered are:

A body is rotating in circle of radius r, keeping period of rotation constant but radius is doubled(2r)then centripetal force become:

A stone is whirled in a vertical plane. The stone has:

A fly wheel rotates at a constant speed of 3000rpm. The angle described by the shaft in radian in one second is:

A particle moves in a circular of radius 25cm at two revolutions per second. The radial acceleration of the particle is:

In uniform circular motion, the factor that remains constant is:

Two particle of equal masses are resolving in circular paths of radius r1 and r2 respectively with the same speed. The ratio of their centripetal force is:

The curved flight of fighter planes at high speed requires a large:

The period of circular motion is:

The expression for centripetal force is given by:

An electric fan has blades of length 30cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m. The acceleration of a point on the tip of the blade is about:

A string breaks if its tension exceeds 10 newtons. A stone of mass 250gm tied to this string of length 10cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be:

The force which can do no work on the body on which it acts:

Two bodies of mass 10kg and 5kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is:

When a body is whirled in a horizontal circle by means of a string the centripetal force is supplied by:

A body moves in a circle of radius 4 m with constant speed 8m/s experiences centripetal force 128N. What is the mass of body?

A wheel rotates about an axis passing through the center and prependicular to the plane with slowly increasing angular speed. Then it has

rev/min is equal to:

An object is moving in a circle of radius 100m with a constant speed of 31.4m/s. What is its average speed for one complete revolution?

In circular motion, If the angular velocity and angular acceleration becomes parallel, then the motion becomes:

A wheel of radius 50 cm having an angular speed of 5rads-1 has linear speed:

The number of revolutions in 3π radians

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

A motor cylist going round in a circular track at constant speed has

If a particle moves in a circle describing equal angles to equal times, its velocity vector

The angle subtended by an arc of length equal to radius of circle is

What is outward force acting on a mass of 10kg when rotating at one end on an inelastic string 10m long at speed of 1m/s?

Centripetal force may be equal to

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

An aircraft executes a horizontal loop of radius 1km with steady speed of 900km/h. What is its centripetal acceleration?

The acceleration of a train travelling with speed of 400m/s as it goes round a curve of radius 160m is

A particle comes round a circle of radius 1m once. The time taken by it is 10sec. The average velocity of motion is

A circle of radius 1m rolls through some distance making an angle 180° at the centre: find the distance

A car of mass 1000kg is moving with speed 72km/h in a circular track of radius 100m. The centripetal force acting on it is

A wheel is at rest. Its angular velocity increases uniformly and becomes 60rad/sec after 5 sec. The total angular displacement is

What happens to the centripetal acceleration of a revolving body if you double the orbital speed v and half the angular velocity ω

A ball of mass 0.25kg attached to the end of a string of length 1.96m is moving in a horzontal circle. The string will break if the tension is more than 25N. What is the maximum speed with which the ball can be moved?

The ratio of the displacement along diameter and total distance along circle is:

If E is the K.E of body moving in circle of radius r then the centripetal force may be written as

A particle of rigid body is at a distance 0.1m from axis of rotation to rotate with linear speed 3m/s. What is angular speed of the rigid body?

What is the speed of the tip of second hand of a clock if its length is 10cm?

In equation v=ω×r 90° is angle between

Centripetal acceleration can be expressed as

The figure shows a cylinder of radius 0.7m rotating about its axis at 10rad/s. The speed of the point P is:

rω2 has unit of

If the body of mass m is rotating in a circle of radius r with frquency of rotation "f" then centripetal force acting on it is

An angular ring with inner and outer radii R₁ and R₂ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer pairs of the ring, F₁/F₂ is

A particle moves on a circular path with decreasing speed. Choose the correct statement.

A body of mass 10kg, is moving with a velocity of 5m/s in a circle of radius 5m, what is the centripetal acceleration of the body?

The ratio of the angular speed of the minute hand of a clock to that of its hour hand is

If a wheel of radius r turns through an angle of 30° then the distance through which any point on its rim moves is

When a body is whirled in a horizontal circle by means of a string the centripetal force is supplied by

A stone tied to the end of a string 1m is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds.What is the magnitude and direction of a acceleration of the stone?

A particle of mass m is executing uniform circular motion on a path of radius r. If P is the magnitude of its linear momentum. The radial force acting on the particle is

A stone of mass 250g is tied to the end of a string of length 1.0m.It is whirled in a horizontal circle with a frequency of 30rev/min. What is the tension in the string ?

If the radius of the circular path of a moving body is half without changing speed of rotation then the fc becomes

A car of mass 1000kg travelling at 40ms-1 rounds a curve of radius 100m. What is the Fc?

The direction of centripetal force is:

A body of mass 5 kg is moving in a circle of radius 1m with an angular velocity of 2 radian/sec. The centripetal force is

A cyclist turns around a curve at 15miles/hour. If he turns at double the speed, the tendency to overturn is

A car is moving with high velocity when it has a turn. A force acts on it outwardly because of

A particle revolves around a circular path with a constant speed. The acceleration of the particle is

A body rotates with uniform speed in a circle of radius r and takes time T to complete one revolution. What are the magnitude of the angular velocity ω, the linear velocity v and the acceleration a ?

Which of the following is the correct vector form of centripetal force?

The force require to bend the normally straight path of a particle into a circular path is called_force.

The mud files off the tyre of a fast moving car in the direction

A stone of mass m tied to a string of length I. It is rotated in a circle with the other end of the string as the centre. The speed of the stone is v. If the string breaks, the stone will move

A cycle wheel of radius 0.4 m completes one revolution in one second then the acceleration of a point on the cycle wheel will be

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. :The centripetal force is

Work done due to centripetal force for circular motion will be:

A body is moving in a circular path with constant speed. The magnitude of tangential and centripetal acceleration are:

When a wheel of 1m in diameter makes 30rev/min, the linear speed of point on its rim in ms^-1 is

The acceleration of a motor car is 8m/s² . If the diameter of its wheel be 2m. Its angular acceleration will be

A point on the rim of a wheel 4m in diameter has a velocity of 1600cms-1. The angular velocity of the wheel is

For a particle in uniform circular motion the relation a=rα of acceleration hold. The acceleration 'a'

If the position vector of a particle is r=(3i+4j) meter and its angular velocity is w=(j+2k) rad/sec then its linear velocity is

The length of the second hand of a watch is 1 cm. The velocity vector of the tip of the second hand in cm per second is

A disc of radius R=20cm is rotating about its axis with an angular velocity ω=20rads-1 on a horizontal smooth surface. The linear speed of point. C on the disc is

If a car moves with a uniform speed of 2ms-1 in a circle of radius 0.4m. Its angular speed is

The linear and angular velocities of a particle moving about the centre of a circle of radius r, are related by

Linear velocity or tangential velocity of any particle moving in a circular path of radius 2m with angular velocity 8rad-1 will be:

A wheel of radius 1 m covers an angular displacement of 180°. Its linear dispacement is

A body moves in a circle with increasing angular velocity. At time t= 6sec, the angular velocity is 27rad/s. What is the radius of circle made by the body where linear velocity is 81cm/s?

An object is moving along a circular path of radius 4m. What will be its angular displacement if it moves 14m on this circular path?

When a body moves in a circle, the angle between its velocity v and angular velocity ω is always

In a circular path body moving along the circumference of a circle, completes two revolutions. If the radius of the is r, total angular displacement covered is

If a wheel of radius r turns through an angle of 30°, then the distance through which any points on its rim moves is

The angular velocity of the minute hand of a clock is:

The shaft of a motor rotates at a constant angular speed of 360 rev/min. Angle turned through in 1 sec in radian is:

The angular speed in radian/hour for daily rotation of the Earth is:

Ten seconds after an electric fan is turned on, the fan rotates at 300rev/min. Its average angular acceleration is:

For positive angular displacement, the rotation would be:

The angular speed of a fly wheel making 120 revolutions/minute is:

A flywheel gains a speed of 540 rpm in 6 seconds. Its angular acceleration is:

The ratio of angular frequency and linear frequency is:

If a rotating body is moving counter clockwise, direction of angular velocity will be:

Angular speed of a particle increases from 2rads-1 to 4 rads-1 across any two diameterically opposite positions. Its angular acceleration will be:

The angular velocity of a particle rotating in a circular orbit 100 times per minute is:

The ratio of angular speeds of minute hand and hour hand of a watch is:

The racing cars of masses m1 and m² are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same length of time. The ratio of the angular speed of the first car to that of the second car is:

The magnitude of the centripetal acceleration of a particle on the tip of a fan blade of lenght 0.30 metre, rotating at 1200 rev/minute:

The angular speed of flywheel making 420 revolution per minute:

Motion of the tip of second hand of the clock is an example of:

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

The net acceleration of a particle in circular motion is:

A girl attaches a rock to a string, which she then swings counter-clockwise in a horizontal circle. The string breaks at point P in the figure, which shows a bird's-eye view (as seen from above). Which path (A-E) will the rock follow?

A 10N force moves a body around a circular path of radius 50 cm. What is work done completing one revolution?

Under what condition an object will have zero displacement but non-zero distance?

An object is moving along a circular path of radius 4m. What will be its displacement if it moves 14m on this circular path?

A body moves in a circle with increasing angular velocity. At time t =6 sec, the angular velocity is 27 rad/s. What is the radius of the circle made by the body where linear velocity is 81 cm/s?

The angular velocity for the daily rotation of the Earth is :

A child riding on a large merry-go-round travels a distance of 3000m in a circle of diameter of 40m. The total angle through which she revolves is:

A wheel starts from rest and has an angular acceleration of 4.0 rad / s2. When it has made 10 rev, its angular velocity is :

The centripetal acceleration of a car traveling at constant speed around a frictionless circular track is:

Radian is a unit of angular displacement which can also be measured in degrees. How many radians are equal to one degree?

When a body moves in a circle, the angle between its linear velocity and angular velocity is always:

A wheel of radius 1m covers an angular displacement of 180°. Its linear displacement is:

Linear velocity or tangential velocity of any particle moving in a circular path of radius 2m with angular velocity 8 rad/s will be:

The force required to bend the normally straight path of a particle into a circular path is called:

A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which is fixed) with an angular velocity of 4 radian/sec. The linear momentum of the disc is:

Moment of inertia of a uniform circular disc about a diameter is 4I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be:

The torque required to stop a wheel of moment of inertia 5x10-3kgm2 from a speed of 20 rad/s in 10s is:

The angular momentum of the particle rotating with a central force is constant due to:

If L and m denote the angular momentum and mass of a particle and P is its linear momentum. Which of the following can represent the kinetic energy of the particle moving in a circle of radius R?

A meter stick is held vertically with one end on the floor and is then allowed to fall. The speed of the other end when it hits the floor, assuming that the end of the stick does not slip and g=9.8 m/s2, is:

A solid sphere of mass M and radius R rolls on a horizontal surface without slipping. The ratio of rotational kinetic energy to total kinetic energy is:

A particle is moved in a circle with a constant angular velocity. Its angular momentum is L. If the radius of the circle is halved, keeping the angular velocity the same, the angular momentum of the particle will become:

The moment of inertia of a disc about an axis passing through its center and normal to its plane is I. The disc is now folded along a diameter such that the two halves are mutually perpendicular. Its moment of inertia about this diameter will now be:

The moment of inertia of a solid sphere of radius R about its diameter is the same as that of a disc of radius 2R about its diameter. The ratio of their masses is:

A sphere of mass 2 kg and radius 5 cm rolls without slipping along a horizontal plane. The velocity of its centre of mass is 10 cm/s. The kinetic energy of the sphere is:

The angular speed of the rotating rigid body is increased from 4ω to 5ω. The percentage increase in its K.E. is:

A particle performs uniform circular motion with angular momentum 'L'. If the frequency of the particle's motion is halved and its KE is doubled then the angular momentum becomes:

A boy standing in a lift falling freely under gravity releases a ball from his hand. As seen by him the ball:

The gravitational field strength on the surface of the Earth is g. The gravitational field strength on the surface of a planet of twice the radius and the same density is:

On the ground, the gravitational force on a satellite is W. What is the gravitational force on the satellite when at a height R/50, where R is the radius of the earth?

The highest moment of inertia if all the objects have same mass and same radius is of:

E_xample(s) of spin motion is/are:

Angular velocity cannot be

Angular displacement is zero when?

If angular velocity increases the _ also increases

Angle between radius vector and centripetal acceleration is

If an object is undergoing an orbital motion around another object it is called

A car is moving in a circular track of radius 20m at a constant speed of 20m/sec. Find the centripetal acceleration?

A body performing circular motion with a constant speed has a constant:

The centripetal acceleration is maximum when radius r is:

The centripetal acceleration formula is given as:

What is angular velocity?

A body is moving in a circle at constant speed. Which statement is true?

A car 500 kg is travelling at a constant speed of 9 m/s round a curve of 100 m. What is the centripetal force?

A car 500 kg is travelling at a constant speed of 9 m/s round a curve of 100m. What is the centripetal force?

A body is hanging from a rigid support by an extensible string of length L. It is struck inelastically by an identical body of mass m with horizontal velocity v =√2gl , the tension in the string increases just after striking by:

Moment of inertia of a thin rod of mass m, length l about a line passing through its center is:

A body moves on a circular path subtending an angle of 2 radians at the center of a circle of radius 3.5 meters. The linear displacement of the body is _.

When brakes of a car are applied, angular velocity of a flywheel reduces from 900 cycle / min to 720 cycle / min in 6 sec. Angular retardation is:

The physical quantity which produces angular acceleration in the body is

A body having translatory motion possesses _ and _. In the same way a body having rotatory motion possesses _ and _.

A jeep travelling at a constant speed of 108 km/hr rounds a curve of radius 100 m. Find its acceleration.

The rate of change of angular velocity with respect to _ defines angular acceleration.

The earth rotates on its axis once a day. Suppose, by some process the earth contracts so that it’s radius is only half as large as at present, then how long the earth will take to complete it’s rotation?

If during circular motion, the tangential velocity of a body becomes double, then centripetal force becomes:

If during circular motion, tangential velocity of a body becomes double, then centripetal force becomes:

A car going around a certain curve at a speed of 25 km/h has centripetal force of 100 N acting on it. If the speed of the car is doubled, the centripetal force:

A car going around a certain curve at a speed of 25 km/h has a centripetal force acting on it of 100 N. If the speed of the car is doubled, the centripetal force:

When the aircraft Concorde is moving in a horizontal plane at a constant speed of 650 ms^-1, its turning circle has a radius of 80 km. What is the ratio of the centripetal force to the weight of the aircraft? (g = 9.8 m/s2)

A rotating wheel of radius 0.5 m has an angular velocity of 5 rad/s at some instant and 10 rad / s after 5 s. Find the angular acceleration of a point on its rim.

The following question belongs to the topic of momentum:

The following question belongs to the topic of momentum:I = r × p what does I in the equation meanwhere;r is the position vectorp is linear momentum

1 radian = _ degrees.

1 radian is equal to:

Law of conservation of momentum states that:I. there is no external force applied to a system, then the total momentum of that system remains constant II. if there is an external force applied to a system, then the total momentum of that system remains constant III. if there is no external force applied to a system, then the total momentum of that system keeps changing

The moment of inertia of a solid sphere of mass ‘m’ having radius ‘r’ about a line passing through its center is:

One complete circle is equal to:

The ratio of angular speed of moon around the Earth to its angular speed about its own axis is:

Work done, due to centripetal force, for circular motion will be:

Work done by the centripetal force on a body moving in circle is zero because

If the body is rotating with uniform angular velocity, then its torque is:

Which of the following gives the relationship between linear velocity and angular velocity?

A wheel starts rotating from the result with an angular acceleration of 2 rads-2 till its angular speed becomes 6 rad/s. The angular displacement of the wheel will be equal to:

In rotatory motion, angular momentum plays a role which is analogous to that played by _ in linear motion.

A disc, a hoop, and a sphere of the same mass and radius are rolled down from a frictionless, inclined plane. Which has a greater speed on reaching the ground?

Answer the following question: