Please include explanation and make it easy to follow **Description of the Diagram:**The diagram illustrates a fan blade in motion, rotating in a counterclockwise direction. The diagram includes arrows surrounding the fan blade to indicate the direction of rotation.**Question:**The fan blade below is slowing down. What are the signs of angular velocity (ω) and angular acceleration (α)?**Options:**- ○ ω is positive and α is positive.- ○ ω is positive and α is negative.- ○ ω is negative and α is positive.- ○ ω is negative and α is negative.---This exercise involves understanding the concepts of angular velocity and angular acceleration in rotational motion. The counterclockwise movement suggests a positive angular velocity. Since the fan blade is slowing down, the angular acceleration would be in the opposite direction, indicating a negative sign.

Given that fans blade is speeding down and fans blade is moving in clockwise direction. if we try to hold blade axis of rotation in our own hand and curl our finger in direction of fan blade motion ,the thumb would indicate the direction of angular velocity. and by sign convention angular velocity and angular acceleration taken positive along anti clock direction hence sign of ω will be Negative. also α is positive when ω is increasing and α is negative when ω is decreasing we know that α =dωdt =ωf-ωit since fan is speeing down ωf will be less so sign of α = +vehence option C is correct option i.e ω is negative and α is positive