Circular Motion

Question 1

Minimum speed to enter a vertical loop

Answer 1

√(5gr)

Question 2

A pilot completes a vertical loop, no tendency to fall at highest point.

Answer 2

√(gr)

Question 3

Satellite motion which quantity remains constant?

Answer 3

Angular momentum

Question 4

True for circular motion?

Answer 4

Radial acceleration is non-zero
Radial velocity is zero
Body is in equilibrium

Question 5

Angular speed of seconds hand

Answer 5

π/30 rad/s

Question 6

Angular speed of minutes hand

Answer 6

π/1800 rad/s

Question 7

Angular speed of hours hand

Answer 7

π/21600 rad/s

Question 8

What remains constant in a uniform circular motion ?

Answer 8

The speed of the body remains constant. Velocity changes due to direction, constant centripetal acceleration exists.
Angular acceleration is conserved in uniform circular motion.

Question 9

Is energy conserved in circular motion?

Answer 9

A component of friction causes circular motion while other component causes change in velocity and hence kinetic energy. Hence energy is not conserved.

Question 10

Fc = mv2/r 
Fc = mr w2

Answer 10

Fc is directly proportional to m when omega is constant.

Fc is inversely proportional to m otherwise.

Question 11

1 rad = degree?

Answer 11

57.3 degree

Question 12

1 degree = radian?

Answer 12

0.0172 rad

Question 13

1 revolution = radian?

Answer 13

2π = 6.2831 rad