Answer:
(A). the angular velocity of fan is 0.380 rev/s.
(B). The number of revolution is 0.059 rad.
(C). The tangential speed of the blade is 0.907 m/s.
(D). The tangential acceleration of the blade is 2.10 m/s²
Explanation:
Given that,
Initial angular velocity = 0.200 rev/s
Angular acceleration = 0.883 rev/s²
Diameter = 0.760 m
Time = 0.204 s
(A). We need to calculate the angular velocity of fan
Using equation of angular motion

Put the value into the formula


(B). We need to calculate the number of revolution
Using formula of angular displacement

Put the value into the formula


(C). We need to calculate the tangential speed of the blade
Using formula of speed

Put the value into the formula


(D). We need to calculate the tangential acceleration of the blade
Using formula of tangential acceleration

Put the value into the formula


Hence, (A). the angular velocity of fan is 0.380 rev/s.
(B). The number of revolution is 0.059 rad.
(C). The tangential speed of the blade is 0.907 m/s.
(D). The tangential acceleration of the blade is 2.10 m/s²