For a good view of all the demos please sit near the front (ie front 5 rows)
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Presentation Transcript
For a good viewof all the demosplease sit nearthe front(ie front 5 rows)
BoomerangsBouncing Ballsandother spinning things Dr Hugh HuntCambridgeUniversityEngineeringDepartment Trinity College Cambridge
Spinning and Rolling the gyroscopic effect
The Gyroscopic Effect • Coffee grinder • Angle grinder • Hair drier For details go to www.hughhunt.co.uk
Circular motion force mass speed string
1: ballet dancers and ice skaters Moment of Inertia J : “an Angular Mass” Arms in, FeelLight J J w w SpinFAST Conservation of Angular Momentum J w Arms out, feelHeavy Spin slowly
2: pointing the Hubble Telescope Still no spin ! No spin Conservation of Angular Momentum Jw
3: spinning in space Conservation of Angular Momentum Jw
The Gyroscopic effect C Precession C Couple W C w C SPIN (Angular momentum) C = J w W J = moment of inertia of wheel
Air deflected downwards Air flow Lift force How Wings Work F V
Boomerangs C Precession C Couple more lift faster Direction of travel Spin C slower less lift
Physics of boomerangs 4J rCLpa4 where R = path radius J = moment of inertia r = air density CL = lift coefficient a = size of boomerang R = ________ andaw = 2 V flick-of-the-wrist w = boomerang spin V = boomerang velocity
Boomerangs come in many shapes and sizes. They make great christmas presents!
The End www.hughhunt.co.uk Google: Hugh Hunt Boomerangs Trinity College Cambridge www.trin.cam.ac.uk Cambridge University Engineering Dept www.eng.cam.ac.uk