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List three real life examples of circular motion

Important Questions on Circular Motion

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A particle is moving with constant speed in a circular path. When the particle turns by an angle $90 °,$ the ratio of instantaneous velocity to its average velocity is $π : x \sqrt{2} .$ The value of $x$ will be

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A block of

200 g

mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius

20 cm

. If the block takes

40 s

to complete one round, the normal force by the side walls of the groove is:

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

The angular velocity of a particle rotating in a circular orbit

100

times per minute is

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A mass $m$ moves in a circle on a smooth horizontal plane with velocity $v_{0}$ at a radius $R_{0}$ . The mass is attached to a string which passes through a smooth hole in plane as shown.

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The tension in the string is increased gradually and finally $m$ moves in a circle of radius $\frac{R_{0}}{2}$ . The final value of the kinetic energy is:

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A particle performing

U . C . M .

of radius

\frac{π}{2} m

makes

x

revolutions in time

t

. Its tangential velocity is

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A body is moving with constant speed, in a circle of radius

10 m

. The body completes one revolution in

4 s

. At the end of

3 r d

second, the displacement of body (in

m

) from its starting point is:

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A body rotating with an angular speed of

600 rpm

is uniformly accelerated to

1800 rpm

10 \sec .

The number of rotations made in the process is

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A scooter is going round a circular road of radius

200 m

at a speed of

20 m s^{- 1}

. The angular speed of scooter will be

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

Two cars of masses

m_{1}

, and

m_{2}

are moving in the circles of radii

r_{1}

and

r_{2}

respectively. Their angular speeds

{}^{'}ω_{1}^{'}

and

{}^{'}ω_{2}^{'}

are such that they both complete one revolution in the same time

t

. The ratio of linear speed of

m_{1}

' to the linear speed of

m_{2}

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A thin metallic disc is rotating with constant angular velocity about a vertical axis that is perpendicular to its plane and passes through its centre. The rotation causes the free electrons in the disc to redistribute. Assume that, there is no external electric or magnetic field. Then,

HARD

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A particle moves such that its position vector

\vec{r} (t) = \cos ω t \hat{i} + \sin ω t \hat{j}

, where

ω

is a constant and

t

is time. Then which of the following statements is true for the velocity

\vec{v} (t)

and acceleration

\vec{a} (t)

of the particle:

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A train is moving towards north. At one place it turns towards north-east. Here, we observe that:

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

One end of a straight uniform

1 m

long bar is pivoted on horizontal table. It is released from rest when it makes an angle

30^{o}

from the horizontal (see figure). Its angular speed when it hits the table is given as

\sqrt{n} rad s^{- 1}

, where

n

is an integer. The value of

n

is ____________
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HARD

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

When a ceiling fan is switched off, its angular velocity reduces to

50 %

while it make

36 r o t a t i o n s

. How many more rotations will it make before coming to rest ? (Assume uniform angular retardation)

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

The angular velocity of a wheel is

70 rad s^{- 1}

. If the radius of the wheel is

0.5 m

, then linear velocity of the wheel is

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A particle travels along the path

y = a + b \times x + c \times x^{2}

where, a, b, c are positive constants. If

v_{0}

is the speed of the particle and it is constant. If at the given instant particle is at x = 0. Radius of curvature of the path is :

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A rod

P

of length

1 m

, is hinged at one end

A

and there is a ring attached to the other end. Another long rod

Q

is hinged at

B

and it passes through the ring. The rod

P

is rotated about an axis which is perpendicular to the plane in which both rods are present and the variations between the angles

θ

and

ϕ

are plotted as shown.The distance between the hinges

A

and

B

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

What is the linear velocity of a body on the surface of the earth at the equator? Given the radius of the earth is

6400 km

?. Period of rotation of the earth

= 24 hour

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Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

The angle turned by a body undergoing circular motion depends on time as

θ = θ_{0} + θ_{1} t + θ_{2} t^{2}

, Then the angular acceleration of the body is :

EASY

Physics>Advanced Mechanics>Circular Motion>Dynamics of Circular Motion

A particle

P

is moving in a circle of radius

r

with a uniform speed

v

C

is the centre of the circle and

AB

is a diameter. When passing through

B

the angular velocity of

P

about

A

and

C

are in the ratio

List three real life examples of circular motion

Important Questions on Circular Motion

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