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A rotor in a blender is rotating at 55.0 rad/s. The chef hits the Low Speed button, causing the rotor to decelerate at -40.7 rad s^2. What is its angular velocity after turning 28.8 rad? (Unit = rad/s) Remember: CCW is +, CW is-. 1 rev = 2 pl rad

Respuesta :

26.0898 rad/s is the angular velocity of a rotor in a blender.

Given

Initial velocity (ω₁) = 55.0 rad/s

Deceleration (α) = -40.7 rad/s²

Angle (θ) = 28.8 rad

Final angular velocity (ω₂) =?

According to the angular kinematic equation

ω₂² = ω₁² + 2αθ

Put the values of ω₁, α, and θ in the equation

We get,
ω₂² = (55)² + 2(₋40.7)(28.8)

ω₂² = √680.68

ω₂ = 26.0898 rad/s

Hence, 26.0898 rad/s is the angular velocity of a rotor in a blender after turning 28.8 rad.

Learn more about angular velocity here https://brainly.com/question/6860269

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