Circular Motion

A body is moving along a circular path with variable speed. It has,

• a radial acceleration

• a tangential acceleration

• zero acceleration

• both tangential and radial accelerations

• None of the above

If a particle moves with uniform speed in a circle that its tangential acceleration will be,

• zero

• constant

• infinity

• variable

• none of these

A particle of mass m is moving in a horizontal circle of radius R with uniform speed v. When it moves from one point to a diametrically opposite point, its;

• kinetic energy changes by mv²/4

• linear momentum does not change

• linear momentum changes by 2 mv²

• kinetic energy changes by mv²

• Angular momentum does not change

A body of mass 100 gram, tied at the end of a string of length 3 m rotates in a vertical circle and is just able to complete the circle. If the tension in the string at its lowest point is 3.7 N, then its angular velocity will be, (g = 10 m/s²)

• 4 rad/s

• 2 rad/s

• 1 rad/s

• 5 rad/s

• 3 rad/s

A body of mass m performing uniform circular motion with frequency n along the circumference of circle having radius r. Force is given by,

• 4πnm²r

• 4π²n²mr

• π²n²mr

• ½ πnm²

• πnm

A particle moves in a circular path of radius r, for half of its time period. Its displacement and distance covered are,

• 2r, 2πr

• √2 r, πr

• 2r, πr

• r, πr

• r, 2πr

Angular velocity of an hour hand of a watch,

• π/ 43200 rad/s

• π/ 21600 rad/s

• π/ 30 rad/s

• π/ 1800 rad/s

• π/ 3600 rad/s

The maximum velocity with which a driver must drive his car on a flat curved road of radius of curvature 150 m and coefficient of friction 0.6, to avoid the skidding of his car is, (take g = 10 m/s²)

• 70 m/s

• 60 m/s

• 50 m/s

• 40 m/s

• 30 m/s

A cyclist goes round a circular path of circumference 34.3 m in √22 s. The angle made by him, with the vertical is,

(g=9.8 m/s²)

• 30⁰

• 45⁰

• 50⁰

• 60⁰

• 90⁰

A body is traveling in a circle at constant speed. It,

• has constant velocity

• has no acceleration

• has a radial acceleration

• has an outward radial acceleration

• has a tangential acceleration