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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.

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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.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

This statement is True.

Explanation:

In uniform circular motion (UCM), the direction of the acceleration vector points towards the centre of the circle. However, it constantly changes with time. The average of these vectors over one cycle is a null vector.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Motion in a Plane - EXERCISE [पृष्ठ ४८]

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एनसीईआरटी Physics [English] Class 11
पाठ 3 Motion in a Plane
EXERCISE | Q 3.16 (c) | पृष्ठ ४८

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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?

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


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


A small pebble tied at one end of a string is placed near the periphery of a circular disc, at the centre of which the other end of the string is tied to a peg. The disc is rotating about an axis passing through its centre.
  1. What will be your observation when you are standing outside the disc? Explain.
  2. What will be your observation when you are standing at the centre of the disc? Explain.

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.


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.


Solve the following problem.

A projectile is thrown at an angle of 30° to the horizontal. What should be the range of initial velocity (u) so that its range will be between 40m and 50 m? Assume g = 10 m s-2.


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


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?


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 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 ______.


The given graph represents motion with ______ speed.


A body is said to be in nonuniform motion if it travels ______.


In uniform motion, an object travels equal ______ in ______ interval of time.


A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 2v. What will be the centripetal acceleration?


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.


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


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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