Create a free account and view content that fits your specific interests in structural engineering Learn More
Calculate angular velocity, angular acceleration
This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
The angular velocity of the circle is defined by the equation ω=3t2+2 rad/sec where t in sec. Determine the magnitudes of the velocity and acceleration of point B on the circle of 1m diameter when t=10 sec.
Solution
ω = 3t2+2 rad/sec
a = dω / dt = 6t
t = 10 sec
a = 60 rad/sec2
VA = ω*R=(3*10^2+2)*0.5=151m/sec
a = 60 rad/sec2
at = a*R = 60*0.5 = 30m/sec2
aw = ω2*R = 302^2*0.5 = 45.6m/sec2
aA = SQRT(at2+ aw2)
See a complete list of review books with similar examples.
Quote Form
Looking for more information? Fill in the form and we will contact Professional Publications Inc. (PPI) for you.
Selected Topics
Calculation Example: Natural Periods of Vibration for SystemsCalculation Example: Axial Force On A ColumnCalculation Example: Shear force On A ColumnCalculation Example: Overturning Moment for Shear panelCalculation Example: Calculate the Change in Length of a Rod loaded in extensionCalculation Example - Calculate the Axial Forces on the Truss MembersCalculation Example - Calculate the member diagramsCalculation Example - Calculate the member diagrams for the beamCalculation Example – Beam with inner hinge (Part A). Find the ReactionsCalculation Example – Beam with inner hinge (Part B). Calculate the member diagrams.Calculation Example – Frame analysis.Calculation Example – Frame analysis – Uniform LoadCalculation Example – Find the Center of Gravity (Surface)Calculation Example – Design bolted connection of tension plates (EC3)Calculation Example – Cantilever BeamCalculation Example – Cantilever Beam, Temperature changeCalculation Example – Undamped free Vibration (Part A).Calculation Example – Undamped free Vibration (Part B).Calculation Example – Evaluation of Structural Property Matrices.Calculation Example – Angular acceleration, angular velocity.Calculation Example – Shear bolt connection EC3.Calculation Example – Buckling of Column (EC3).Calculation Example - Calculate the member diagrams.Calculation Example - Calculate the member diagrams.Calculation Example - Calculate the equation of the elastic curve.Calculation Example - Calculate the location of support.Calculation Example – Plane stress.Calculation Example - Annular cross section, Stress.Calculation Example – Allowable shear force for the girder.Calculation Example - Calculate the deflection. Castigliano Theorem.Calculation Example – Determine the shear force and moment.Calculation Example – Determine the magnitudes of F1,F2.Calculation Example – Internal forces.Calculation Example - Calculate the Axial Forces of the Truss Members.Calculation Example – Calculate the moments of inertia Ix and Iy.Calculation Example – Calculate shear stress for temperature load.Calculation Example – Calculate tension force using virtual work.Calculation Example – Torsional moment-Stress.Calculation Example – Reinforced Concrete Column at Stress.Calculation Example – Cantilever Beam with uniform loading.Calculation Example – Cantilever Beam with point loads.Calculation Example – Rod loadingCalculation Example – Maximum DeflectionCalculation Example – Member Diagram.Calculation Example – Minimum allowable Diameter.Calculation Example – Critical load.Calculation Example – Simple harmonic vibration part1Calculation Example – Simple harmonic vibration part 2Calculation Example – FrictionCalculation Example – Section Modulus SCalculation Example – Plastic Neutral Axis.Calculation Example – Buckling of Column (EC3).Calculation Example – Shear bolt connection EC3.Calculation Example – Member Diagram. Triangular load.Calculation Example – Torsional moment-Stress.Calculation Example – Angular acceleration, angular velocity.Calculate the location of point loadShear bolt connection EC3Torsional Moment-StressCalculate the Axial Forces of the Truss MembersCalculate the Maximum Shear StressHow to calculate yield strengthTemperature ChangeAverage shear stress in pressure vesselAllowable shear force of the girderCalculation ExamplesCalculate the variation in length of the rodSpring Assemblies in Series/Parallel: Two Springs in SeriesTruss vs CableCalculate the vertical deflection of a beam
See Also
Calculate the vertical deflection of a beam
Aug, 20, 2020Calculate the vertical deflection of the beam (m...
Truss vs Cable
Jun, 11, 2020Truss and cable elements are defined by their ab...
Spring Assemblies in Series/Parallel: Two Springs in Series
May, 20, 2020Based on Figure 1, we get: where:...
Calculate the variation in length of the rod
Apr, 06, 2020The rod of the picture is loaded with the force 2...
Calculation Examples
Feb, 13, 2020_
Professional Examinations Preparation
Feb, 13, 2020
