1. The blade of an electric saw rotates at 3600 rev/min. Assume that the diameter of a typical saw that is used to saw boards in home construction and renovation is 18 cm. a) What is the linear speed in m/s of a point on the rim of the circular saw blade? Express your answer in meters per second.

2. An electric turntable 0.770 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.270 rev/s. The angular acceleration is 0.893 rev/s^2. a) Compute the angular velocity after a time of 0.197s . Express your answer in revolutions per second. b) Through how many revolutions has the blade turned in this time interval? Express your answer in revolutions. c) What is the tangential speed of a point on the tip of the blade at time t = 0.197s ? Express your answer in meters per second. d) What is the magnitude of the resultant acceleration of a point on the tip of the blade at time t = 0.197s ? Express your answer in meters per second squared.

3. Three small blocks, each with mass m, are clamped at the ends and at the center of a rod of length L and negligible mass. a) Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through the center of the rod. Express your answer in terms of the variables m and L . b) Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through a point one-fourth of the length from one end. Express your answer in terms of the variables m and L .

4. An airplane propeller is 2.08 m in length (from tip to tip) with mass 106 kg and is rotating at 2500 rpm (rev/min) about an axis through its center. You can model the propeller as a slender rod. a) What is its rotational kinetic energy? Express your answer in joules. b) Suppose that, due to weight constraints, you had to reduce the propeller's mass to 75.0 % of its original mass, but you still needed to keep the same size and kinetic energy. What would its angular speed have to be, in rpm ? Express your answer in revolutions per minute.