Question

A wheel starts rotating at 10 rad/sec and attains
the angular velocity of 100 rad/sec in 15 second.
What is the angular acceleration in rad/sec/?

Answer 1

Answer:

6 rad/s²

Explanation:

Angular acceleration = Change in angular velocity / Time taken

= (100 rad/s - 10 rad/s) / (15 s)

= (90 rad/s) / (15 s)

= 6 rad/s²

Answer 2

Explanation:

It is given that,

Initial angular velocity of the wheel, $\omega_i=10\ rad/sec$

Final angular velocity of the wheel, $\omega_f=100\ rad/sec$

Time taken, t = 15 s

We need to find the angular acceleration of the wheel. It can be calculated using the first equation of motion of rotational motion as :

$\alpha =\dfrac{\omega_f-\omega_i}{t}$

$\alpha =\dfrac{100-10}{15}$

$\alpha =6\ rad/s^2$

So, the angular acceleration of the wheel is $6\ rad/s^2$. Hence, this is the required solution.