Physics APTest: Chapter 11Form 1d=dtθϖvvd=dtϖαvv2I =r dm∫2cmIImd=+212diskImr=2121mLIrod=xkFe∆=rFτ=×vvvsinFrτθ=Iτα=vv212tKmv=212rKIϖ=212eUkx∆=gUmgh=The blade of a blender has an initial angular velocity of 900 rad/s upward. 1)If after 20 seconds of constant angular acceleration the blade’s angular velocity is 100 rad/s [D], how many rotations has the blade completed?2)If the downward angular acceleration is given by α= ϖ/k (where k= 1.0 x 104s) what is the angular acceleration of the blade at the instant it has completed 3000 revolutions?A block of mass m1= 50 kg on a long, frictionless inclined plane is connected to a massless rope which is passed over a large pulley. The pulley is a solid cylinder of mass m= 100 kg and radius r= 0.50 m. The other end of the rope is connected to a block of mass m2= 75 kg suspended vertically from the pulley, as shown at right. The inclined plane makes an angle θ= 30º to the horizontal.
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