The rotational kinematics allows finding that the response for the time to reach the washing speed is
t = 4.26 s
Kinematics studies the motion of bodies, in the special case that the motion is circular is called rotational kinematics.
θ = w₀ t + ½ α t²
Where θ is the angle, w₀ are the initial angular velocity, α is the angular acceleration and t is the time
Rotational kinematics is written in units of radians, therefore all magnitudes must be reduced,
θ = 6 rev ([tex]\frac{2\pi }{1rev}[/tex] ) = 12π rad
In this case the washing machine starts from rest, therefore the initial rotational velocity is zero
θ = ½ α t²
t = [tex]\sqrt{\frac{2 \theta}{\alpha } }[/tex]
t = [tex]\sqrt{\frac{2 \ 12\pi }{4.15} }[/tex]
t = 4.26 s
In conclusion using rotational kinematics we can find that the answer for the time to reach the washing speed is
t = 4.26 s
Learn more about rotational kinematics here:
brainly.com/question/20338754
