Example 3. A rotor disc on a road vehicle has two tangential forces acting on it. The first force is caused by the engine which causes the rotor disc to accelerate, and has magnitude 2kN. The second force is caused by the friction in the bearings, and it opposes the driving rotation and has magnitude 250 N. The rotor disc has a diameter of 300mm, a thickness of 25mm and is manufactured from carbon ceramic having density 2450 kgm³. 500 N i. ii. iii. iv. r 2000 N Model the rotor disc as a uniform solid cylinder. Derive an equation of motion that describes the system. Calculate the angular acceleration of the rotor disc. If the rotor disc starts from rest, calculate the angular speed of the rotor disc after 10 seconds. Calculate the number of revolutions made in 10 seconds.
Example 3. A rotor disc on a road vehicle has two tangential forces acting on it. The first force is caused by the engine which causes the rotor disc to accelerate, and has magnitude 2kN. The second force is caused by the friction in the bearings, and it opposes the driving rotation and has magnitude 250 N. The rotor disc has a diameter of 300mm, a thickness of 25mm and is manufactured from carbon ceramic having density 2450 kgm³. 500 N i. ii. iii. iv. r 2000 N Model the rotor disc as a uniform solid cylinder. Derive an equation of motion that describes the system. Calculate the angular acceleration of the rotor disc. If the rotor disc starts from rest, calculate the angular speed of the rotor disc after 10 seconds. Calculate the number of revolutions made in 10 seconds.
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