Answer:
10.989 rad/s²
Explanation:
Angular Acceleration: This is the acceleration of a body that undergoes a circular motion. The S.I unit of angular acceleration is rad/s²
The expression for angular acceleration is given as
a = αr.............. Equation 1
Where a = linear acceleration, α = angular acceleration, r = radius.
make α the subject of the equation
α = a/r............. Equation 2.
But,
a = (v-u)/t ............. Equation 3
Where v = final velocity, u = initial velocity, t = time.
substitute equation 3 into equation 2
α = (v-u)/rt............ Equation 4
Given: v = 8 m/s, u = 0 m/s, r = 0.28 m, t = 2.6 s
Substitute into equation 4
α = (8-0)/(0.28×2.6)
α = 8/0.728
α = 10.989 rad/s²
