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1. An airplane propeller is rotating at 2000 rpm (rev/min). (a) Compute the propeller's angular velocity in rad/s (b) How many seconds does it take for the propeller to turn through 40"?2. The rotating blade of a blender turns with constant angular acceleration 1.25 rad/s'. a) How much time does it take to reach an angular velocity of 34.0 rad/s, starting from rest? b) Through how many revolutions does the blade turn in this time interval?3. An electric turntable 0.820 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.240 rev/s and a constant angular acceleration of 0.800 rev/s. (a) Compute the angular velocity of the turntable after 0.400 s. (b) Through how many revolutions has the turntable spun in this time interval? (c) What is the tangential speed of a point on the rim of the turntable at t= 0.400 s? (d) What is the magnitude of the resultant acceleration of a point on the rim at t = 0.400 s?4. Four small spheres, each of which you can regard as a point of mass 0.400 kg, are arranged in a square 0.700 m on a side and 0.400 m connected by extremely light rods. Find the moment of inertia of 0.200 kg the system about an axis (a) through the center of the square, perpendicular to its plane (an axis through point O in the figure); B (b) bisecting two opposite sides of the square (an axis along the line AB in the figure); (c) that passes through the centers of the upper left and lower right spheres and through point O. (Note: Change the value in the figure)5. A wagon wheel is constructed. The radius of the wheel is 0.400 m, and the rim has mass 1.50 kg. Each of the eight spokes that lie along a diameter and are 0.400 m long has mass 0.290 kg. What is the moment of inertia of the wheel about an axis through its center and perpendicular to the plane of the wheel