A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s

Solution

4 s

When a cone filled with water is revolved in a vertical circle, then the velocity at the highest point is given by

$ν \geq \sqrt{g r} a l s o ν = r ω = r \frac{2 π}{T} H e n c e, \frac{2 πr}{T} \geq \sqrt{r g} T \leq \frac{2 πr}{\sqrt{r g}} = 2 π \sqrt{\frac{r}{g}} = 2 π \sqrt{\frac{4}{9.8}} = 2 \times 3.14 \times 0.6389 = 4.0 \sec so T_{\max} = 4 \sec$

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s

Some More Questions From Laws of Motion Chapter

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution? 2 s 4 s 1 s 6 s

Some More Questions From Laws of Motion Chapter

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s