A propeller (arm length 1.2 m) starts from rest and begins to rotate

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Presentation transcript:

A propeller (arm length 1.2 m) starts from rest and begins to rotate counterclockwise with a constant angular acceleration of size 2.7 rad/s2. a. How long does it take for the propeller's angular speed to reach 5.7 rad/s? b. How many revolutions does it take for the propeller's angular speed to reach 5.7 rad/s? c. What is the linear speed of the tip of the propeller at 5.7 rad/s? d. What is the linear acceleration of the tip of the propeller at this point? e.What is the centripetal acceleration of the tip of the propeller at this point?  PHYS 101, Chapter 7 Homework

A propeller (arm length 1.2 m) starts from rest and begins to rotate counterclockwise with a constant angular acceleration of size 2.7 rad/s2. a. How long does it take for the propeller's angular speed to reach 5.7 rad/s? b. How many revolutions does it take for the propeller's angular speed to reach 5.7 rad/s? c. What is the linear speed of the tip of the propeller at 5.7 rad/s? d. What is the linear acceleration of the tip of the propeller at this point? e.What is the centripetal acceleration of the tip of the propeller at this point?  PHYS 101, Chapter 7 Homework

2. A potter's wheel moves from rest to an angular speed of 0 2. A potter's wheel moves from rest to an angular speed of 0.20 rev/s in 30 s. Find its angular acceleration in radians per second per second. PHYS 101, Chapter 7 Homework

3. A dentist's drill starts from rest. After 3 3. A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate of 2.51x104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in radians) through which the drill rotates during this period. PHYS 101, Chapter 7 Homework

4. A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 32.0 m/s. With what maximum speed can it go around a curve having a radius of 75.0 m? PHYS 101, Chapter 7 Homework

5. A drill bit rotating at 3600 rev/min rotates through 50 revolutions while coming to rest. Find the drill's angular acceleration. PHYS 101, Chapter 7 Homework

6. A boy swings a 15.7 kg stone in a horizontal circle with a radius of 0.98 m. The string breaks under 370 N of tension. What is the maximum speed (in m/s) the stone can have? PHYS 101, Chapter 7 Homework

7. A sample of blood is placed in a centrifuge of radius 15. 0 cm 7. A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 X 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 X 10-11 N. At how many revolutions per second should the centrifuge be operated? PHYS 101, Chapter 7 Homework