# Rotation with Constant Angular Acceleration

## Rotation with constant angular acceleration

• We have already studied motion with constant acceleration while studying translational motion
• Now we will study the rotational motion with constant angular acceleration
• when a rigid body rotates with constant acceleration we have

• Thus we have

• Again we have angular velocity

• Equation (8) ,(9) and (10) are the equation of motion with constant angular acceleration

Question 1. A wheel initially has an angular velocity of 18 rad/s. It has a constant angular acceleration of 2.0 rad/s2 and is
slowing at first. What time elapses before its angular velocity is 18 rad/s in the direction opposite to its initial
angular velocity?

a 3 sec
b 6 sec
c 18 sec
d none of these

Solution 11

ω0=18
ω=-18

angular acceleration(α)=-2

Now

ω=ω0+αt
or t=18