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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

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?


Differentiate between uniform linear motion and uniform circular motion.


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


Complete a sentence and explain it.

When an object is in uniform circular motion, its ______ changes at every point.


Solve the following problem.

A car moves in a circle at a constant speed of 50 m/s and completes one revolution in 40 s. Determine the magnitude of the acceleration of the car.


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


Which of the following graph represents uniform motion of a moving particle?


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


A uniform rod of length '6L' and mass '8 m' is pivoted at its centre 'C'. Two masses 'm' and ' 2m' with speed 2v, v as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity 'w1' then 'w' 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?


The ratio of the angular speed of minute hand and hour hand of a watch is ____________.


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


A disc has mass 'M' and radius 'R'. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity 'ω' in time t?


Consider a simple pendulum of length 4 m. Its bob performs a circular motion in horizontal plane with its string making an angle 60° with the vertical. The Period of rotation of the bob is ____________.(Take g = 10 m/s2)


A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference 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 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)


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


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

Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of earth due to earth’s rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? what is it at latitude θ? How does these accelerations compare with g = 9.8 m/s2?


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 wheel rotating at the same angular speed undergoes constant angular retardation. After the revolution, angular velocity reduces to half its initial value. It will make ______ revolution before stopping.


A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off the angular velocity becomes `(1/4)^"th"` of the original in time 't' and 'n' revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are ______. (Angular retardation is uniform)


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 ______.


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?


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


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