Answer:
v = 11.3 m / s
Explanation:
This rotation exercise can be treated using the rotation kinematics. Remember that all these equations work in radians
Let's look for angular acceleration
θ = w₀ t + ½ α t²
They tell us that it takes t = 1.0 s to give a revolution (T = 2π rad) and with part of the rest the initial angular velocity is zero (wo = 0)
θ = 0 + ½ α t²
α = 2θ / t²
α= 2 2π / 1²
α = 4π = 12.57 rad / s²
Let's calculate the angular velocity at this point
w = wo + α t
w = 0 + α t
w = 12.57 1
w = 12.57 rad / s
The relationship between linear and angular velocity is
r = d / 2
r = 1.8 / 2 = 0.90 m
v = w r
v = 12.57 .90
v = 11.3 m / s
