starting from rest grinding stone has constant angular acceleration 20 rad/sec at time = 0.reference axis is AB.what is angular displacement of line AB.
To find the angular displacement of line AB, we need to use the equations of rotational motion. The equation that relates angular acceleration, initial angular velocity, angular displacement, and time is:
θ = ω₀t + (1/2)αt²
where θ is the angular displacement, ω₀ is the initial angular velocity, α is the angular acceleration, and t is the time.
Given:
Initial angular velocity, ω₀ = 0 rad/sec (starting from rest)
Angular acceleration, α = 20 rad/sec²
Time, t = 0
Substituting the values into the equation, we get:
θ = (0)(0) + (1/2)(20)(0)²
θ = 0 rad
Therefore, the angular displacement of line AB is 0 rad.