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Define angular velocity.

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प्रश्न

Define angular velocity.

परिभाषा
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उत्तर

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

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

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

संबंधित प्रश्न

A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is..........


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


Is it possible to have an accelerated motion with a constant speed? Explain


Give an example of motion in which speed remains uniform, but the velocity changes.


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.

Which of the following quantity remains constant in uniform circular motion:


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.


Solve the following problem.

A particle moves in a circle with a constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle.


The angle subtended by the vector A = `5hat"i" + 3hat"j" + 12hat"k"` with the X-axis is ______.


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


A small sphere is attached to a cord and rotates in a vertical circle about a point O. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at ____________.


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 particle is moving in uniform circular motion with speed 'V' and radius 'R'. The angular acceleration of the particle is ______.


Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 1.6 km, the acceleration of an object on the equator of the star will be nearly ____________.


A string of length 'l' fixed at one end carries a mass 'm' at the other end. The string makes `3/pi` revolutions/second around the vertical axis through the fixed end as shown in figure. The tension 'T' in the string is ______.


A stone of mass 3 kg attached at one end of a 2m long string is whirled in horizontal circle. The string makes an angle of 45° with the vertical then the centripetal force acting on the string is ______.

(g = 10 m/s2 , tan 45° = 1)


A body moves in a uniform circular motion ______.


Statement A: Uniform circular motion is a case of accelerated motion
Statement B: In the third equation of motion we do not have the term time


Which of the following is correct about uniform circular motion

  1. the direction of motion is continuously changed
  2. the direction of motion is not changed
  3. speed and direction both remain constant
  4. speed is constant but the direction is changing

A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is ______.


Earth also moves in circular orbit around sun once every year with on orbital radius of 1.5 × 1011 m. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2?


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.


A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is ______.


Two bodies of masses 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal accelerations is ______.


A body of mass m is moving in circle of radius r with a constant speed v. The work done by the centripetal force in moving the body over half the circumference of the circle is ______.


Explain the meaning of uniform circular motion.


The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:


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


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