Question

A wheel starting from rest turns through 360 radian with a constant angular acceleration of 5 rad / sec2. Find its final angular velocity.

Answer 1

Answer:

मैने कोई पाप नाही किया और न चोरी कीहै

Answer 2

Answer:

The final angular velocity is 60 $rad/sec$

Procedure:

Given:

Angular accleration = $a$ = 5 $rad/sec^{2}$

Angular displacement = $s$ = 360 $radians$

The body starts from rest, so the initial angular velocity = $u$ = 0 $rad/sec$Formula Used:
$v^{2} =u^{2} +2as$

Here, $v$ is the final angular velocity

         $u$ is the initial angular velocity

         $a$ is the angular acceleration

         $s$ is the angular displacement

To Find:

Final angular velocity ($v$)

Step by Step Explanation:

1. Write down the equation of motion used to solve the problem.
   $v^{2} =u^{2} +2as$
2. Substitute the known variables into this equation.
   $v^{2} =0^{2} +2*5*360$
3. Simplify the equation by performing the arithmetic calculations.
   $v^{2} =3600$
4. Solve for v by doing square root over 3600.
   $\n\\\\v=\sqrt{3600}$
5. After solving this, we get
   $v=60$

Using the proper units, we get $v=60 rad/sec$

So, the final angular velocity is 60 $rad/sec$