Kinematic Relationships Flashcards
How to go from displacement to velocity
Differentiate
How to go from velocity to acceleration
Differentiation
How to go from acceleration too velocity
Integrate
How to go from velocity to displacement
Integrate
Degrees to radians
Degree x TT /180
raidan to degrees
Radians x 180 /TT
What is angular displacement
Is the angle through whixh the line has swept in time
What is linear velocity
It is the rate of change of linear displacement in times
Angler velocity Is equal to what
To the rate of change of angular displacement in time
Revolution to radians
Revolution per min × 2TT/60
Radians to revolution
Radians per second ×60 /2TT
What Is the period is relation to angular velocity
It is the time taken for one complete rotation
What is angular displacement measured in
Rads
What is displacement measured in
Meters
W
Angular velocity
Rads-1
What I’d angular acceleration
It is the rate of change of angular velocity
What us angular acceleration measured in
Rads-2
What is tangentially velocity
It is the linear velocity at any point for an object in circular motion
The tangential velocity is always what yo the radius
Perpendicular
At the tangential velocity proportional
When the radius are the same
What is the tangential acceleration
It is the rate at which rhe tangential speed of the object is changing
What is tangential acceleration measures in
ms-2
The tangential acceleration is always perpendicular to what
The radius of the circle
What type of speed does a stallite have have
Constant tangential speed
How can you have a steady velocity but acceleration at the same time
By changing direction. This creates a unbalanced force showing that they muct be an acceleration due to Newton 2nd law
What direction is the centripetal acceleration
Towards the centre of the circle as a result of the centripetal force
What is the centripetal force
It is the resultant force which must act on a body to make it move in a circular path
If an object is moving in a circular path and the centripetal force is removed then what would happen
The object will more in a straight line at a tangent to the circle at the same speed
What is the angular acceleration measured in
Rads-2
What is the angular acceleration measured in
Rads-2
What is tangential acceleration measured in
Ms-2
Is their is a centripetal force what else is thier ?
Centripetal acceleration
Why are centripetal force and acceleration linked
Cause their us always a chnage in direction
What are the forces when an object is moving in a circular horizontal motion and what is the centripetal force in this scenario
The only force acting in the horizontal direction is the tension in the string. So the tension is thr centripetal force
What are the forces when an object is moving in a circular horizontal motion and what is the centripetal force in this scenario
The only force acting in the horizontal direction is the tension in the string. So the tension is thr centripetal force
What would be the formula for the horizontal motion in a circular path
Tension =mrw²
What is acting towards the centre of the circle on the horizontal motion
Acceleration and tension
When an object is acting in the vertical motion what si the centripetal force at the top
Tension + weight
If the tension is 0 at the top of the vertical motion what is thr formula
W= mv²/r goes to mg=mv²/ which changes to v=Square root of gr
If the tension is 0 at the top of the vertical motion what is thr formula
W= mv²/r goes to mg=mv²/ which
How to work out the minimum velocity when something is rotating in a vertical motion
V Square root of gr
When will the string going in a circular vertical motion will feel the most tension
At the bottom
When a object is going on a vertical circular motion what are the centripetal forces at the bottom
Tension - weight
What will be thr formalua for the vertical circular motion at the bottom
T - W = mv²/r
When an object is going in a circular vertical motion what are the main centripetal forces at the side
Tension only
What would be the formula for the centripetal force at the side of the circular vertical motion
T=mv²/r
When an object is going in a vertical circular motion what happens when the speed decreases
The centripetal forces is dependent on the tension which reduces to zero as the speer decreases. At thus point thr weight is much greater than the centripetal force required for circular motion.
When can a car go around a corner on a banked trank
When their is no friction
On a banked track when acts as the centripetal force
Horizontal component.
What is the formula for maximum velocity of horizontal banked tracks
Rsin0=F
The total maximum speed on a banked track
V = square root of rgtan0
What is the reaction force for the vertical component on a banked track
Weight
Whata the formula of the vertical velocity on a banked track
mg = rcos0
What is the centripetal force when a car is going around the corner
The frictional force
What is escape velocity
The minimum velocity required to allow a mass ro escape a gravitational field to infinity, where the mass archives zero knetic engery and maximum potential enegery
What is the derivative of escape velocity
Knetic engery formula + the adv potential engery formula
Cancel and simplify
Make it equal to v
Units for torque
Nm
What angle us the torque formula applied on
At right angles
What is torque
It is the turning effect
What is the formula for torque when it applied at an angle
T= Frsin0
What two things can increase the torque
Apply a greater perpendicular force
Apply force from a longer radius
What is the moment of inertia
It is a body tendency to resist acceleration about a given axis
What will an unbalanced torque produce
An angular acceleration about the axis of rotation
What does the moment of inertia depend on
The mqss on the object itself and the distribution of mass about the axis of rotation
What is the moment of inertia measured in
Kgm2
Cm-m
÷100
Definition of angular momentum
The angular moment before is equal to the angular momentum after in the absence of external torque
What is angular momentum measured in
Kg m² s-¹
If the moment of inertia increases what happens to the angular velocity in orf3r to the angular momentum constant
Must decrease
What are in forces on their conical pendulum
Weight acting down
Tension kn the string
Explain why the moment of inertia is less when someone is in a ball rather than straight
Mass is now distributed closer to the axis of rotation.
High moment of inertia
Means high distribution of mass
Low moment of inertia
Means low disruption of mass
What is centrifugal force
This is an imaginary force which you feel act on you when you accelerate round a corner. This force acts in the opposite direction to centripetal force meaning to act away from the centre of the circle.
