Question

A 1kg sphere rotates in a circular path of radius 0.2m from rest and it reaches an angular speed of 20rad/sec in 10 second calculate the angular acceleration​

Answer 1

2 rad/s²

Step-by-step explanation:

From the question given above, the following data were obtained:

Mass (m) = 1 Kg

Radius (r) = 0.2 m

Angular speed (w) = 20 rad/s

Time (t) = 10 s

Angular acceleration (a) =?

Angular acceleration is defined as:

Angular acceleration (a) =Angular speed (w) / time

a = w/t

With the above formula, we can obtain the angular acceleration of the sphere as follow:

Angular speed (w) = 20 rad/s

Time (t) = 10 s

Angular acceleration (a) =?

a = w/t

a = 20 / 10

a = 2 rad/s²

Thus, the angular acceleration of the sphere is 2 rad/s²