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Complete a sentence and explain it. When an object is in uniform circular motion, its ______ changes at every point. - Science and Technology

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प्रश्न

Complete a sentence and explain it.

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

रिकाम्या जागा भरा
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उत्तर

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

Explanation:

In a uniform circular motion, the direction of motion of the body changes at every instant of time. This continuous change in the direction of motion of the body at every instant accounts for the change in its velocity at every point of instant.

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पाठ 1: Laws of Motion - Exercises [पृष्ठ १७]

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बालभारती Science and Technology [English] 9 Standard Maharashtra State Board
पाठ 1 Laws of Motion
Exercises | Q 4. c. | पृष्ठ १७

संबंधित प्रश्‍न

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

The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.


A particle starts from the origin at t = 0 s with a velocity of 10.0 `hatj "m/s"` and moves in the x-y plane with a constant acceleration of `(8.0 hati + 2.0 hatj) ms^(-2)`.

  1. At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
  2. What is the speed of the particle at the time?

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.

What is a conical pendulum?


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.


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 ball of mass 'm' is attached to the free end of an inextensible string of length 'l'. Let 'T' be the tension in the string. The ball is moving in horizontal circular path about the vertical axis. The angular velocity of the ball at any particular instant will be ______.


A mass 'm' is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is 1 cm. If the angular speed is doubled, the elongation in the spring is 6 cm. The original length of the spring 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 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 string of length `l` is fixed at one end and carries a mass 'm' at the other end. The mass is revolving along a horizontal circle of radius 'r' making 'θ' as the semi-vertical angle of cone and `(1/pi)` revolutions per second around the vertical axis through fixed end. The tension in the string is ______.


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


Define uniform circular motion and give an example of it. Why is it called accelerated motion?


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?


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)


A particle is performing a uniform circular motion along a circle of radius R. In half the period of revolution, its displacement and distance covered are respectively.


The acceleration of a point on the rim of a flywheel 1 m in diameter, if it makes 1200 rpm 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?


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