The blades of a fan running at low speed turn at 230rpm . When the fan is switched to high speed, the rotation rate increases uniformly to 370rpm in 5.80s .

Part A
What is the magnitude of the angular acceleration of the blades?

Part B
How many revolutions do the blades go through while the fan is accelerating?

1 answer

angular acceleration=(wf-wi)/time

for here, you have to choose your units. I think I would change time to minutes, so angular acceleration would be in rev/min^2

acceleration= (370-230)/(5.8/60)
= 140*60/5.8 work that our rpm^2

rev=wi*time+1/2 acceleration*time^2
= 230*5.8/60 + 1/2 above acc*(5.8/60)^2
or you could have done it with avg velocity
rev=avgvelocity*time=(wf+wi)/2 * 5.8/60