Motion In Straight Line

Question

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When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s

10

20

30

40

Solution

Angle turned in three second and θ₁ s = 2 n x 10

= 20 π rad

According to the kinematic equation of Rotational motion

$θ_{1} = ω_{o} t + \frac{1}{2} {αt}^{2}$

$20 π = 0 + \frac{1}{2} α {(3)}^{2}$

$α = \frac{40 π}{9} rad / s^{2}$

Now, angle turned in 6 s from the starting

$θ_{2} = ω_{o} t + \frac{1}{2} {αt}^{2}$

= 0 + $\frac{1}{2} \times (\frac{40 π}{9}) + {(6)}^{2}$

θ₂ = 80 π rad

Since angle turned between t = 3 s to t = 6 s

$θ_{lost} = θ_{2} - θ_{1}$

= 80π - 20 π

$θ_{lost} = 60 π$

Number of revolution = $\frac{60 π}{2 π}$

= 30

Hence Number of revolution in next 3s is 30

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

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Motion In Straight Line

When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s

10

20

30

40

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

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For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s 10 20 30 40

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: (a) A kite flying in the sky. (b) The earth revolving around the sun. (c) A train moving along the equator of the earth in clockwise direction. (d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s

10

20

30

40

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.