Torque and formula
Turning effect produced by force
Causes rotation around a central axis or fixed point
Formula: force x length of lever arm
Effect of torque on angular acceleration
Torque causes rotation on an axis, therefore causes angular acceleration.
The greater the torque, the greater the angular acceleration.
Eccentric force
Force that causes an object to turn or rotate but does not act through the object’s centre of gravity
How is rotation and eccentric force used in sports
Eccentric force is used in sports such as racquet sports (tennis or cricket) to apply a ‘spin’ to the ball
Angular velocity and units
Rate of change of angular displacement
Meadsured in degrees per second
Angular displacement
Change in absolute angular position over time
Factors that influence size of torque
Size of applied force and length of lever arm
Relationship between angular and linear velocity
Linear velocity = angular velocity x radius of rotation
The rotational movement of swinging your leg to kick or racquet to hit causes linear movement of the ball.
To increase the linear velocity and distance travelled by the ball: increase angular velocity or length of implement (eg: cricket bat)
Momentum and formula
The amount of motion an object has and its resistance to changing that motion.
Momentum (p) = mass (m) x velocity (v)
Momentum and formula
The amount of motion an object has and its resistance to changing that motion
Momentum (p) = mass (m) x (velocity)
Conservation of Momentum
The principle of conservation of momentum states that the total momentum of a system before a collision is equal to the total momentum of the system after the collision.
If they stay in touch, objects with move in the direction of the object with a higher momentum (eg: tackling in football)
If it’s only a hit, the smaller momentum object will move in the direction of the applied force (softball bat hitting ball)
Explain conservation of momentum using a softball bat and ball example
Bat has a greater mass but lower velocity, ball has a lower mass but higher velocity therefore momentum remains the same until external forces act upon the ball like gravity.
Force summation
Also known as summation of momentum.
The correct timing and sequencing of body parts to produce the maximum velocity.
Points to mention for force summation
Angular Velocity
The total rate of change of angular displacement
Measured in degrees per second
Angular displacement
Total change in absolute angular position
Angular momentum and formula
The amount of angular motion a rotating object has
Angular momentum = angular velocity x moment of inertia
Moment of inertia and formula
A rotating objects resistance to changes in angular motion.
A rotating object will remain rotating unless acted upon by an external torque
Moment of inertia = mass x radius^2
How does moment of inertia affect rotation and angular velocity
Decreasing moment of inertia (eg: tucking arms in, mass centred closer to radius of rotation) increases angular velocity
- increase in rate of rotation
Increasing moment of inertia (eg: spreading arms out, mass centred further from radius of rotation) decreases angular velocity Increasing
Conservation of a angular momentum
Angular momentum of an object will remain constant unless acted upon by an external torque.
- moment of inertia increases = decreased angular velocity
- moment of inertia decreases = increased angular velocity
Conservation of momentum
The total momentum within a system before a collision is equal to the total momentum of the system after the collision
Principle of conservation of angular momentum
An objects angular momentum will remain constant unless acted upon by an external torque.
Impulse and formula
Impulse is the change in momentum of an object
Impulse (I) = force (f) x time (t)