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Define angular velocity. - Physics

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प्रश्न

Define angular velocity.

व्याख्या
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उत्तर

Angular velocity of a particle is the rate of change of angular displacement.

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पाठ 3: Motion in a Plane - Exercises [पृष्ठ ४५]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 3 Motion in a Plane
Exercises | Q 2. (x) | पृष्ठ ४५

संबंधित प्रश्‍न

For a particle performing uniform circular motion `vecv=vecomegaxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.


Read the statement below carefully and state, with reason, if it is true or false:

The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.


A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?


A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]


Why is the motion of a body moving with a constant speed around a circular path said to be accelerated?


Draw a neat labelled diagram for a particle moving in a circular path with a constant speed. In you diagram show the direction of velocity at any instant.


A piece of stone tied at the end of a thread is whirled in a horizontal circle with uniform speed by hand. Answer the following questions:

  1. Is the velocity of stone uniform or variable?
  2. Is the acceleration of stone uniform or variable?
  3. What is the direction of acceleration of stone at any instant?
  4. Which force provides the centripetal force required for circular motion?
  5. Name the force and its direction which acts on the hand.

In a uniform circular motion, the speed continuously changes because of the direction of motion changes.


Answer the following question.

Show that its time period is given by, 2π`sqrt((l cos theta)/("g"))` where l is the length of the string, θ is the angle that the string makes with the vertical, and g is the acceleration due to gravity.


Which one of the following is most likely not a case of uniform circular motion?


What is meant by uniform circular motion? Give two examples of uniform circular motion.


If a particle moves with uniform speed then its tangential acceleration will be ______.


A particle goes round a circular path with uniform speed v. After describing half the circle, what is the change in its centripetal acceleration?


A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 8 cm. The centripetal force acting on the particle is 15 N. Its kinetic energy is ____________.


A body of mass ·m' is moving along a circle of radius 'r' with linear speed 'v'. Now, to change the linear speed to `V/2` and to move it along the circle of radius '4r', required change in the centripetal force of the body is ______.


A particle is perfonning uniform circular motion. If 'θ', 'ω', 'α' and ' a' are its angular displacement, angular velocity, angular acceleration, and centripetal acceleration respectively, then which of the following is 'WRONG'?


The angular speed of the minute hand of a clock in degrees per second is ______.


A cyclist is riding with a speed of 43.2 km/h. As he approaches a circular turn on the road of radius 60 m, he applies brakes and reduces his speed at constant rate of 1.8 ms-2. The magnitude of the net acceleration of the cyclist is ______.


A body moves in a uniform circular motion ______.


It is possible to have objects moving with uniform velocity but non-uniform acceleration.


A point object moves along an arc of a circle of radius 'R'. Its velocity depends upon the distance covered 'S' as V = `Ksqrt(S)` where 'K' is a constant. If 'e' is the angle between the total acceleration and tangential acceleration, then


A disc of radius 5 cm rolls on a horizontal surface with linear velocity v = 1`hat"i"` m/s and angular velocity 50 rad/s. Height of particle from ground on rim of disc which has velocity in vertical direction is ______ cm.


The distance of the Sun from earth is 1.5 × 1011 m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be ______.


A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.

(g = acceleration due to gravity)


A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. Another disc of same dimensions, but of mass `1/4`M is placed gently on the first disc co-axially. The. angular velocity of the system is ______.


A wheel is Subjected to uniform angular acceleration about its axis. Initially. its angular velocity is zero. In the first 2 s, it rotates through an angle θ1, in the next 2 s, it rotates through an angle θ2. The ratio of `theta_2/theta_1` is ______.


In uniform circular motion, although the speed is constant, why does acceleration occur?


A particle moving with uniform speed in a circular path maintains ______.


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