Kinematic Relationships Flashcards by Kathleen anderson

How to go from displacement to velocity

Differentiate

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How to go from velocity to acceleration

Differentiation

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How to go from acceleration too velocity

Integrate

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How to go from velocity to displacement

Integrate

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Degrees to radians

Degree x TT /180

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raidan to degrees

Radians x 180 /TT

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What is angular displacement

Is the angle through whixh the line has swept in time

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What is linear velocity

It is the rate of change of linear displacement in times

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Angler velocity Is equal to what

To the rate of change of angular displacement in time

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Revolution to radians

Revolution per min × 2TT/60

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Radians to revolution

Radians per second ×60 /2TT

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What Is the period is relation to angular velocity

It is the time taken for one complete rotation

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What is angular displacement measured in

Rads

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What is displacement measured in

Meters

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Angular velocity
Rads-1

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What I’d angular acceleration

It is the rate of change of angular velocity

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What us angular acceleration measured in

Rads-2

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What is tangentially velocity

It is the linear velocity at any point for an object in circular motion

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The tangential velocity is always what yo the radius

Perpendicular

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At the tangential velocity proportional

When the radius are the same

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What is the tangential acceleration

It is the rate at which rhe tangential speed of the object is changing

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What is tangential acceleration measures in

ms-2

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The tangential acceleration is always perpendicular to what

The radius of the circle

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What type of speed does a stallite have have

Constant tangential speed

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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

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.