Answer:
The angular acceleration is 10.10 rad/s².
Explanation:
Given that,
Mass of sphere =220 g
Diameter = 4.50 cm
Friction force = 0.0200 N
Suppose we need to find its angular acceleration.
We need to calculate the angular acceleration
Using formula of torque
[tex]\tau=f\times r[/tex]
[tex]I\times\alpha=f\times r[/tex]
Here, I = moment of inertia of sphere
[tex]\dfrac{2}{5}mr^2\times\alpha=f\times r[/tex]
[tex]\alpha=\dfrac{5\times f}{2mr}[/tex]
Put the value into the formula
[tex]\alpha=\dfrac{5\times0.0200}{2\times220\times10^{-3}\times2.25\times10^{-2}}[/tex]
[tex]\alpha=10.10\ rad/s^2[/tex]
Hence, The angular acceleration is 10.10 rad/s².
