Linear Motion can provide Angular

Slides:

Advertisements

Similar presentations

Angular Momentum.

Advertisements

L-11 Rotational Inertia Why is a bicycle stable (it doesn’t fall over) only when it is moving? Rotational (angular) Momentum Conservation of angular momentum.

Force and Moment of Force Quiz

Chapter 9 Rotational Dynamics.

Using the “Clicker” If you have a clicker now, and did not do this last time, please enter your ID in your clicker. First, turn on your clicker by sliding.

L-11 Rotational Inertia Why is a bicycle stable (it doesn’t fall over) only when it is moving? Rotational (angular) Momentum Conservation of angular momentum.

Angular Momentum of a Particle

8.4. Newton’s Second Law for Rotational Motion

AP Rotational Dynamics Lessons 91 and 94.  Matter tends to resist changes in motion ◦ Resistance to a change in velocity is inertia ◦ Resistance to a.

Physics 111 Practice Problem Statements 11 Angular Momentum SJ 8th Ed

Rotational Dynamics Chapter 8 Section 3.

The center of gravity of an object is the point at which its weight can be considered to be located.

Newton’s Laws of Motion

9.4. Newton’s Second Law for Rotational Motion A model airplane on a guideline has a mass m and is flying on a circle of radius r (top view). A net tangential.

“How physical forces affect human performance.”

ROTATIONAL MOTION Y. Edi Gunanto.

Chapter 7.2 Notes Angular Momentum.

Angular Momentum. Angular Momentum ( L ) Conservation of Momentum The total angular momentum of a rotating object remains constant if the net torque.

Angular Momentum.

 Angular momentum is a quantity that tells us how hard it is to change the rotational motion of a particular spinning body  Objects with lots of angular.

Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.

Cutnell/Johnson Physics 8th edition Reading Quiz Questions

Chapt. 10: Angular Momentum

Rotation Notice that all the points turn through the same angle, but they travel different distances. What determines how far each point travels?

Chapter 11 Angular Momentum; General Rotation 10-9 Rotational Kinetic Energy 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle.

Rotational Dynamics The Action of Forces and Torques on Rigid Objects

ROTATIONAL DYNAMICS. ROTATIONAL DYNAMICS AND MOMENT OF INERTIA  A Force applied to an object can cause it to rotate.  Lets assume the F is applied at.

Year 13 Physics Rotation & Circular Motion. Rotation When either a rigid body or a particle rotates about some fixed point, we can describe the motion.

REVIEW: TORQUE To make an object rotate, a force must be applied in the right place. the combination of force and point of application is called TORQUE.

Rotational Motion & Torque. Angular Displacement Angular displacement is a measure of the angle a line from the center to a point on the outside edge.

Angular Momentum. Definition of Angular Momentum First – definition of torque: τ = Frsinθ the direction is either clockwise or counterclockwise a net.

AP Physics 1 Exam Review Session 3

Application of Forces Learning Objectives:

Lec 08: Rotation Rotation: Angles, Speed

L-11 Rotational Inertia Rotational (angular) Momentum

L-11 Rotational Inertia Rotational Momentum Conservation of rotational momentum Why is a bicycle stable (it doesn’t fall over) only when it is moving?

M 97 b b M P a a M 1. Find the moment of inertia around P

Angular Momentum Section 10-9.

Angular momentum has the same SI units as momentum.

Motion and Force Review

Rotational Motion.

PHED 3 Exercise Physiology Angular Momentum

Biomechanics Why spin a rugby ball?.

Newton’s Laws Of Motion

Object at rest stays at rest,

Angular Momentum.

♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ Objectives القرص الدوار والدولاب مجلس أبوظبي للتعليم

Center of Mass & Rotational Inertia

Angular motion Principles 6 & 7.

Torque & Angular Acceleration AH Physics

Warm-up (9/26/18) How does one calculate linear momentum?

L-11 Rotational Momentum

Angular Momentum; General Rotation

L-11 Rotational Inertia and Rotational Momentum

L-11 Rotational Inertia and Rotational Momentum

Rotational Motion NCEA AS 3.4 Text Chapter: 4.

REVIEW: TORQUE To make an object rotate, a force must be applied in the right place. the combination of force and point of application is called TORQUE.

Chapter 11 Angular Momentum; General Rotation

Conservation of Momentum

Rotational Kinetic Energy Ekr (J)

Rotational Kinetic Energy

L-11 Rotational Momentum

Conservation of Momentum

Conservation of Momentum

Rotational Kinetic Energy

Moment of Inertia.

Newton’s Laws of Motion

Chapter 8 Rotational Equilibrium and Dynamics

Presentation transcript:

Linear Motion can provide Angular Momentum, example: Bubba and Betty-Sue go to the play-ground. Bubba runs to the spinny-ride and jumps on at the edge. The ride is at rest. Bubba's mass is 81kg and he runs at 3.7m/s. The spinning ride has a diameter of 3.3m. (a) Calculate the angular momentum of the ride just after Bubba jumps on.

Next to the playground is an iced-over pond Next to the playground is an iced-over pond. Betty-Sue has brought her ice-skates and goes out and starts to spin while staying in the same place. In this orientation her rotational inertia is 0.064kgm2, her mass is 59kg and she is spinning at 39rpm. (b) Calculate her angular momentum. (c) She then brings her arms inwards (towards her body). Explain what happens and why.

(c) She then brings her arms inwards (towards her body). Explain what happens and why. As she brings her arms towards her chest she will speed up. Since more or her mass as near the centre of the spin, she has decreased her rotational inertia. Since the angular momentum is conserved, assuming no external torque from friction, the L = Iω with arms out must equal L = Iω with arms in. (d) Her new rotational inertia is 0.014kgm2. Calculate her new angular velocity

(d) Her new rotational inertia is 0. 014kgm2 (d) Her new rotational inertia is 0.014kgm2. Calculate her new angular velocity.

Bubba has a model airplane Bubba has a model airplane. Each set of propellers has a rotational inertia of 0.0018kgm2 and are spinning at ~1800 rpm. (e) Explain to Bubba why each propeller spins opposite directions. If there was only one propeller the body of the airplane would try to rotate in the opposite direction as the propeller because of the conservation of angular momentum, L. Each propeller spins in opposite circles so that they cancel out their angular momentum, L, and the body of the airplane does not have any torque and does not try to spin. This cancelling out of each propellers angular momentum assumes each propeller has identical rotational inertia, I and angular velocity, ω.

(f) Calculate the total angular momentum of both propellers if the left propeller spins at 1848rpm clockwise while the right propeller spins at 1735rpm anticlockwise?

(g) If it takes 1.45s for the propellers to reach a speed of 1840rpm starting from rest, calculate the angular displacement and the angular acceleration of a single propeller.

(h) If each blade on the propeller is 12 (h) If each blade on the propeller is 12.5cm long, calculate the linear velocity of the tip of each blade while at this 1840rpm.