1- 1. A motor's shaft is spinning at a speed of 3000 r/min. What is the shaft speed in radians per second?
1- 2. A flywheel with a moment of inertia of 2 kg 0 m2 is initially at rest. If a torque of 5 N o m (cOlUlterc1ockwise) is suddenly applied to the flywheel, what will be the speed of the flywheel after 5 s? Express that speed in both radians per second and revolutions per minute.
1-3. A force of 10 N is applied to a cylinder, as shown in Figure PI- I. What are the magnitude and direction of the torque produced on the cylinder? What is the angular acceleration a of the cylinder?
1-4. A motor is supplying 60 N · m of torque to its load. If the motor's shaft is turning at 1800 r/min. what is the mechanical power supplied to the load in watts? In horsepower?
1-5. A ferromagnetic core is shown in Figure PI- 2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current. what is the flux density at the top of the core? What is the flux density at the right side of the core? Assrune that the relative permeability of the core is I()(x).