Question

Q-4 What is uniform circular motion? Write formula and its unit.​

Answer 1

Answer:

uniform motion is the motion in which the object cover equal distance in equal interval of time.

Explanation:

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Answer 2

Answer :-

The term circular is applicable to describe the motion in a curved path.

The motion of any object along some circular path, covering equal distance along the circumference in the same time interval is known as the uniform circular motion.

In any such motion, the speed remains constant, with constantly changing direction.

The formula for Uniform Circular Motion:

If the radius of the circular path is R, and the magnitude of the velocity of the object is V. Then the radial acceleration of the object will be:

$a_{rad} = \frac{ {v}^{2} }{</em><em>R</em><em>}$

Again, this radial acceleration will always be perpendicular to the direction of the velocity. Its SI unit is

${m}^{2} {s}^{ - 2}$

The radial acceleration can also be expressed with the help of the period of the motion i.e. T. This period T is the amount of time taken to complete a revolution. Its unit is seconds.

The radial acceleration can also be expressed with the help of the period of the motion i.e. T. This period T is the amount of time taken to complete a revolution. Its unit is seconds.If the magnitude of the velocity of an object traveling in uniform circular motion is v, then the velocity will be equal to the circumference C of the circle divided by the period. Thus,

$v \ = \frac{</em><em>C</em><em>}</em><em>{</em><em>T</em><em>}</em><em>$

The circumference of the circle is equal to pi Π multiplied by the radius R.

The circumference of the circle is equal to pi Π multiplied by the radius R.So, C = 2Π R

The circumference of the circle is equal to pi Π multiplied by the radius R.So,

C = 2Π R

At any point in the motion, therefore the velocity will be,

$v \ = \frac{2\pi \: </em><em>R</em><em>}{</em><em>T</em><em>}</em><em>$

Using this value in the equation for radial acceleration, we will get,

$a_{rad} = \frac{ {4\pi \:}^{2} </em><em>R</em><em>}{ {</em><em>T</em><em>}^{2} }$

where,

$a_{rad} - - - - > \: radical \: acceleration$

R ----------------------> The radius of the circular path

T -----------------> Time Period

V ----------------> Velocity

C ------------> Circumference

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