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# Rotating Bodies - Stress

### Stress in a Rotating Disc

Stress in a rotating disc can be calculated as

σ z = ω 2 r 2 ρ / 3

= v 2 ρ / 3

= ( 2 π n / 60) 2 r 2 ρ / 3 (1)

where

σ z = stress (Pa, N/m 2 )

ω = angular velocity (rad/s)

r = radius of disc (m)

ρ = density (kg/m 3 )

π = 3.14...

n= revolutions per minute (rpm)

### Stress in a Rotating Ring

Stress in a rotating ring can be calculated as

σ z = ω 2 ρ ( r 1 2 + r 1 r 2 + r 2 2 ) / 3                     (2)

where

r 1 = outer radius of ring (m)

r 2 = inner radius of ring (m)

## Related Topics

### • Dynamics

Motion - velocity and acceleration, forces and torque.

## Related Documents

### Centripetal and Centrifugal Acceleration Force

Forces due to circular motion and centripetal / centrifugal acceleration.

### Stress

Stress is force applied on cross-sectional area.

### Stress in Thick-Walled Cylinders or Tubes

Radial and tangential stress in thick-walled cylinders or tubes with closed ends - with internal and external pressure.

### Stress in Thin-Walled Cylinders or Tubes

Hoop and longitudinal stress thin-walled tubes or cylinders.

### Stress, Strain and Young's Modulus

Stress is force per unit area - strain is the deformation of a solid due to stress.

### Young's Modulus, Tensile Strength and Yield Strength Values for some Materials

Young's Modulus (or Tensile Modulus alt. Modulus of Elasticity) and Ultimate Tensile Strength and Yield Strength for materials like steel, glass, wood and many more.

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