Angular velocity Quiz 1

Question 1

What will be the angular velocity of the center point of a disc with radius 50 cm in uniform circular motion having an angular velocity of $$6	ext{ }rad/s$$ ?

Accepted Answer

Zero

Answer

3 rad/s

Answer

6 rad/s

Answer

2 rad/s

Question 2

What will be the initial angular velocity of a giant wheel if it is brought to rest by deceleration of $$2	ext{ }rad/{{s}^{2}}$$ in 30 seconds?

Accepted Answer

60 rad/s

Answer

20 rad/s

Answer

30 rad/s

Answer

15 rad/s

Question 3

Four athletes $$A$$, $$B$$, $$C$$ and $$D$$ are running in a circular track. $$A$$ is in the first track from the inside of the circle and $$B$$, $$C$$ and $$D$$ are in succeeding tracks respectively. At a certain point in the race, all of them had equal angular velocity. Then whose linear velocity will be higher at that time?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 4

A man in a circus is rotating a long stick of length 6 m by holding it exactly at its center. Mass of this stick is assumed to be 2 kg. What will be the angular velocity of the tip of the stick if it is rotating with an energy of 30 J?

Accepted Answer

$$\sqrt{40}	ext{ rad/s}$$

Answer

$$\sqrt{20}	ext{ rad/s}$$

Answer

$$\sqrt{80}	ext{ rad/s}$$

Answer

$$	ext{10 rad/s}$$

Question 5

A wheel is rotating about 20 rotations per minute initially. Suddenly a torque of 20 N-m is applied on the wheel for 2 seconds. Then what will be the final angular velocity of the wheel if it is having a moment of inertia of $$4	ext{ kg-}{{	ext{m}}^{2}}$$?

Accepted Answer

30 rpm

Answer

10 rpm

Answer

20 rpm

Answer

40 rpm