1. A circular saw blade of radius 20cm starts from rest and spins up to 3000 RPM in 2.0s at an assumed continuous rate of increase. What is the magnitude of the angular acceleration? What is the speed of the edge of the blade once the blade is at 3000 RPM? How far did a point 10cm from the center travel in the first second of motion?[br]2. What is the moment of inertia of a car's flywheel (disc shaped) if it has a mass of 10kg and a radius of 20cm?[br]3. What is the moment of inertia of a meter stick of mass 400 grams when rotated around the 30cm mark on the stick?[br]4. What is an easy way to describe the effect of applying a net torque on a system?[br]5. An object with a moment of inertia of 5 kgm[sup]2[/sup] is at rest. Then a torque of 10Nm acts on it for 5.0s. What is the final angular velocity of the object?[br]6. How much torque is applied by a force of 150N applied at a right angle to the arm of a wrench 40cm long?[br]7. How much torque is applied by the same force on the same wrench but with a 60 degree angle between the lever arm and the force?[br]
1. [math]1500 rev/min/s = 25 rev/s^2=50\pi\tfrac{rad}{s^2}\;; v=20\pi\tfrac{m}{s} \;;|\Delta\vec{r}|=2.5\pi m.[/math][br]2. 0.2 kgm[sup]2[/sup][br]3. 0.049 kgm[sup]2[/sup][br]4. Torque applied over time changes the angular momentum of a system.[br]5. 10 rad/s[br]6. 60 Nm[br]7. 52 Nm[br]