Answer

Verified

349.2k+ views

**Hint:**To answer this question, we first need to know the rotational motion.The motion of an object along a circular path in a fixed orbit is known as rotational motion. The dynamics of rotational motion are somewhat similar to those of linear or translational motion. Many of the equations for rotating object dynamics are similar to the linear motion equations.

**Complete step by step answer:**

As per given in the question initial angular velocity = 0

and number of rotations completed in t seconds = $n$

therefore, total angular displacement in t seconds = $2πn$

Therefore from the 3rd equation of motion in the rotational system.

Total angular displacement up to time t = ${w_0}t + \dfrac{1}{2}\alpha {t^2}$.....(here ${w_0}$ is the initial rotational velocity and $\alpha $ is the angular acceleration)

Here ${w_0}$=0 and angular displacement= $2\pi n$

Substituting the values, now

$2\pi n$= $\dfrac{1}{2}\alpha {t^2}$

$\therefore \alpha = \dfrac{{4\pi n}}{{{t^2}}}$

**Note:**The motion of an object along a circular path in a fixed orbit is known as rotational motion. It can also be described as a body's motion around a fixed point in which all of its particles travel in a circular motion with the same angular velocity—for example, Earth's rotation around its axis.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE