Statements (51)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:Physical_quantity
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            
                                            Rotational inertia
                                        
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            rigid bodies
                                        
                                        
                                         point masses  | 
                            
| gptkbp:category | 
                                    
                                        
                                            gptkb:Classical_mechanics
                                        
                                         Rotational motion  | 
                            
| gptkbp:dependsOn | 
                                    
                                        
                                            
                                            mass distribution
                                        
                                        
                                         axis of rotation  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            resistance to angular acceleration
                                        
                                        
                                         | 
                            
| gptkbp:dimensions | 
                                    
                                        
                                            
                                            ML^2
                                        
                                        
                                         | 
                            
| gptkbp:example | 
                                    
                                        
                                            
                                            hollow cylinder
                                        
                                        
                                         solid cylinder solid sphere thin rod thin spherical shell  | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:Physics
                                        
                                         gptkb:Mechanics Engineering  | 
                            
| gptkbp:form | 
                                    
                                        
                                            
                                            I = ∑ mᵢrᵢ²
                                        
                                        
                                         I = ∫ r² dm  | 
                            
| gptkbp:introducedIn | 
                                    
                                        
                                            gptkb:Euler
                                        
                                         | 
                            
| gptkbp:measures | 
                                    
                                        
                                            
                                            kilogram square meter
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            
                                            principal axes
                                        
                                        
                                         angular momentum Torque center of mass radius of gyration rotational kinetic energy area moment of inertia Angular acceleration Newton's second law for rotation Parallel axis theorem Perpendicular axis theorem mass moment of inertia  | 
                            
| gptkbp:symbol | 
                                    
                                        
                                            
                                            I
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            aerospace engineering
                                        
                                        
                                         astrophysics mechanical engineering molecular physics quantum mechanics robotics structural engineering biomechanics vehicle dynamics rotational dynamics moment of inertia tensor rotational spectroscopy  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:MOI
                                        
                                         gptkb:Angular_Momentum  | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Moment of Inertia
                                        
                                        
                                         |