PROBLEM ONE A wheel starts from rest and accelerates at a uniform rate. It reaches an angular speed of 0.05 rpm in 4. Find the magnitude of the...

PROBLEM ONEA wheel starts from rest and accelerates at a uniform rate. It reaches an angular speed of 0.05 rpm in 4.00 s. Find the magnitude of the angular acceleration of the wheel.PROBLEM TWOA compact disc is designed such that as the head moves out from the center of the disc, the angular speed of the disc changes so that the linear speed at the position of the head will always be at a constant value of 3.1 m/s.a) Find the angular speed of the disc when the read head is reading the first track (r1 = 27 mm) and the final track (r2 = 55 mm).b) The maximum playing time of a standard music CD is 74 min and 33 sec. How many revolutions does the disc make during that time?c) What total length of track moves past the objective lens during this time?PROBLEM THREE A wheel rotating about a fixed axis has an angular position given by

θ =3.0 - 2.0t3    whereθ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?

• • PROBLEM FOURA wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2. In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?PROBLEM FIVEThe angular speed of the hour hand of a clock, in rad/min, is­­­­___________--PROBLEM SIX  Two blocks, m1 = 1.0 kg and m2 = 2.0 kg, are connected by a light string as shown in the figure. If the radius of the pulley is 1.0 m and its moment of inertia is 5.0 kg×m2, what is the acceleration of the system? PROBLEM SEVEN
  •  A solid sphere (radius R, mass M) rolls without slipping down an incline as shown in the figure. What is the linear acceleration of its center of mass?

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