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3.49 rad/s

3.50 m/s

the first force (at the midpoint)

63°

Express the angular speed of an old 33 1/3 rpm LP in rad/s.

A child is riding a merry-go-round that is turning at 7.18 rp…

Two forces produce equal torques on a door about the door hin…

Through how many degrees does a 33 rpm turntable rotate in

3.49 rad/s

Express the angular speed of an old 33 1/3 rpm LP in rad/s.

3.50 m/s

A child is riding a merry-go-round that is turning at 7.18 rp…

Axis

Rotation

Revolution

Linear Speed

The straight which rotation takes place.

When an object turns around an internal axis.

When an object turns around an external axis

The speed of an object along a linear path.

Axis

The straight which rotation takes place.

Rotation

When an object turns around an internal axis.

The resistance an object has to change…

Inertia can be thought of as a measure…

Newton's first law does not apply to r…

According to the law of inertia, rotat…

rotational inertia

"laziness"

FALSE

TRUE

The resistance an object has to change…

rotational inertia

Inertia can be thought of as a measure…

"laziness"

Translational Motion

Rotational Motion

Center of Mass

Angular Displacement

movement in which an object moves from one point to another

the rotation of a body around its center of mass

the point about which all of the matter of an object is evenl…

the angle over which the rotation occurs; distance covered

Translational Motion

movement in which an object moves from one point to another

Rotational Motion

the rotation of a body around its center of mass

Angular Displacement

Angular Acceleration

Rotational Motion

Radian

angle through which a point, line, or body is rotated in a sp…

Time rate of change in angular speed , expressed in rad/s squ…

Motion of a body that spins about an axis

An angle whose arc length = radius, which is approx. = 57.3 d…

Angular Displacement

angle through which a point, line, or body is rotated in a sp…

Angular Acceleration

Time rate of change in angular speed , expressed in rad/s squ…

Linear speed

Centripetal force

Torque

Centripetal acceleration

is measured in units per unit time. v=rω

the inwards force of a spinning circular motion

a twisting force that causes rotation

the inwards force of a spinning circular motion. ac=v^2/r

Linear speed

is measured in units per unit time. v=rω

Centripetal force

the inwards force of a spinning circular motion

The resistance an object has to change…

Inertia can be thought of as a measure…

Newton's first law does not apply to r…

According to the law of inertia, rotat…

rotational inertia

"laziness"

FALSE

TRUE

The resistance an object has to change…

rotational inertia

Inertia can be thought of as a measure…

"laziness"

When is an object moving in *uniform c…

Is **speed** constant in uniform circula…

Is **velocity** constant in uniform circ…

Is an object in uniform circular motio…

When it's moving in a circle at *constant speed*.

Yes.

No.... The speed is constant but the direction is always changing.

Yes.... Because the velocity is changing (the speed is constant,…

When is an object moving in *uniform c…

When it's moving in a circle at *constant speed*.

Is **speed** constant in uniform circula…

Yes.

Tangential speed

Rotational Speed

Rotational Inertia

Torque

linear tangent to a curved path such as in circular motion

number of rotation or revolution per unit of time, often meas…

Property of an object that measure its resistance to at chang…

Produce of force and lever arm distance which tens to produce…

Tangential speed

linear tangent to a curved path such as in circular motion

Rotational Speed

number of rotation or revolution per unit of time, often meas…

What is the difference between radians…

Why are radians preferred in rotationa…

Why are degrees preferred in torque?

How is moment of inertia similar to an…

The degree was invented by Babylonians. Their calendar had 36…

Radians can be converted to distance around circle by multipl…

Torque is to dtermine the force tangent to the rotation. The…

Similar: moment of Inertia represents mass in rotational moti…

What is the difference between radians…

The degree was invented by Babylonians. Their calendar had 36…

Why are radians preferred in rotationa…

Radians can be converted to distance around circle by multipl…

tangential speed

rotational speed

rotational intertia

torque

the linear speed tangent to a curved path, such as in circula…

the number of rotations or revolutions per unit of time

that property of an object that measures its resistance to an…

the product of force and lever-arm distance which tends to pr…

tangential speed

the linear speed tangent to a curved path, such as in circula…

rotational speed

the number of rotations or revolutions per unit of time

The tendency of a force to cause rotat…

What produces the greatest torque?

To kick a football so that it doesn't…

Why does the Leaning Tower of Pisa not…

Torque

Large force, long lever arm

In line with its center of mass.

It does not topple because it center of gravity is above (wit…

The tendency of a force to cause rotat…

Torque

What produces the greatest torque?

Large force, long lever arm

Angular displacement

Angular position

Angular speed

Angular velocity

The angle that a rotating body goes through

The orientation of a body or figure with respect to a specifi…

The rate of change in angular displacement, the rate at which…

The rate of change in angular displacement of a rotating body

Angular displacement

The angle that a rotating body goes through

Angular position

The orientation of a body or figure with respect to a specifi…

Angular Position

"Find angular displacement ...."

"Find angular velocity..."

Units of angular displacement?

Denoted theta (θ)

Δθ = θfinal - θinitial... "Delta theta equals theta final minus…

ω = Δθ / Δt.... "Omega equals delta theta over delta t."

rad/s... Radians over seconds.

Angular Position

Denoted theta (θ)

"Find angular displacement ...."

Δθ = θfinal - θinitial... "Delta theta equals theta final minus…

Angular acceleration

Angular displacement

Angular velocity

Center of mass

the change in angular velocity divided by the time needed to…

the change in the angle as an object rotates. We will express…

the angular displacement of an object divided by the time nee…

the point on the object that moves in the same way that a poi…

Angular acceleration

the change in angular velocity divided by the time needed to…

Angular displacement

the change in the angle as an object rotates. We will express…

translational motion

rotational motion

rotation is measured by circumference,…

angular displacement

linear motion

motion involving a rotation or revolution around a fixed chos…

rad

circular motion about an AXIS

translational motion

linear motion

rotational motion

motion involving a rotation or revolution around a fixed chos…

Tangential speed

Rotational Speed

Rotational inertia

Torque

The linear speed tangent to a curved path, such as in circula…

The number of rotations or revolutions per unit of time; ofte…

The property of an object to resist any change in its state o…

The product of force an lever-arm distance, which tends to pr…

Tangential speed

The linear speed tangent to a curved path, such as in circula…

Rotational Speed

The number of rotations or revolutions per unit of time; ofte…

Linear Speed

Centripetal Force

Torque

Centripetal Acceleration

The speed of a certain point of a circle

Any force that causes an object to move in a circle

A twisting force that causes rotation

Rate in change of tangential velocity

Linear Speed

The speed of a certain point of a circle

Centripetal Force

Any force that causes an object to move in a circle

Rotational Postion (Angular Position)

Radian

Rad

Rotational (Angular) Velocity

The angle in the counterclockwise direction between the refer…

The unit for rotational position that is most useful in physics

Usually a reminder that we are using radians for angles

The rate of change of each point's rotational position.

Rotational Postion (Angular Position)

The angle in the counterclockwise direction between the refer…

Radian

The unit for rotational position that is most useful in physics

Periodic Motion

Period

Frequency

Torque

Motion that repeats itself in the same way at equal time inte…

Time required for a complete repetition of the motion

The number of repetitions in a second

A physical quantity which describes the ability a force has t…

Periodic Motion

Motion that repeats itself in the same way at equal time inte…

Period

Time required for a complete repetition of the motion

Torque

I (Moment of inertia/Rotational inertia)

α (Angular acceleration)

θ (Angular position)

t=Frsinθ (Nm)

I=∑mr² (kg m²)

α=torque/(mr²) ; a=α*r ; α=∆ω / ∆t ; (rad/s²)

θ=s/r (arc length/radius) ; radians

Torque

t=Frsinθ (Nm)

I (Moment of inertia/Rotational inertia)

I=∑mr² (kg m²)

Rotational motion

Axis of rotation

Tangential speed

Accelerating

Rotation of a body that spins around an axis

The imaginary point or line which objects rotate

The instantaneous speed of an object and the direction that i…

A car is traveling in a circle with a constant speed of 30 km…

Rotational motion

Rotation of a body that spins around an axis

Axis of rotation

The imaginary point or line which objects rotate

Rigid Body

Translational motion

Rotational motion

Moment of Inertia

System of particles in which the inter particle distances are…

No rotation.

Particles travel in cuticles about the axis of rotation.

Resistance of an object to a change in rotational motion.

Rigid Body

System of particles in which the inter particle distances are…

Translational motion

No rotation.

Tangential speed

Rotational speed

Rotational inertia

Torque

the linear speed tangent to a curved path, such as in circula…

the number of rotations or revolutions per unit of time; ofte…

the property of an object that measures it resistance to any…

the product of force and lever arm distance, which tends to p…

Tangential speed

the linear speed tangent to a curved path, such as in circula…

Rotational speed

the number of rotations or revolutions per unit of time; ofte…

Axis

Revolution

Rotation

Radian

Straight line around which an object rotates

An object turns around an axis outside the object

Object turns around an internal axis (spins)

Standard unit of angular displacement

Axis

Straight line around which an object rotates

Revolution

An object turns around an axis outside the object

Rotational Inertia

Torque

Center of Mass

Center of gravity

An object resists changes in its rotational state of motion.…

Rotational counterpart of the force. Torque twists or changes…

Average position of all the mass that makes up the object

The average position of weight disribution

Rotational Inertia

An object resists changes in its rotational state of motion.…

Torque

Rotational counterpart of the force. Torque twists or changes…

What type of unit is a radian?

When aren't the center of mass and cen…

Applying forces at COG causes...

Applying forces away from COG causes...

It isn't a unit; it's a ratio

In non-uniform gravitational areas, ie space/black holes

translational motion

rotational and possibly translational motion; torque

What type of unit is a radian?

It isn't a unit; it's a ratio

When aren't the center of mass and cen…

In non-uniform gravitational areas, ie space/black holes

Translation

Rotation

Rigid Body

ω = ∆θ / ∆t

if an imaginary line on an object stays parallel to its origi…

if an imaginary line on an object does NOT stay parallel to i…

for a rotating object, if all the points along a radial line…

write the equation for average angular velocity... ω = average a…

Translation

if an imaginary line on an object stays parallel to its origi…

Rotation

if an imaginary line on an object does NOT stay parallel to i…

Tangential speed

Rotational speed (sometimes called ang…

Rotational inertia (often called momen…

Torque

The linear speed tangent to a curved path, such as in circula…

The number of rotations or revolutions per unit of time; ofte…

The property of an object that measures its resistance to any…

The product of force and lever-arm distance, which tends to p…

Tangential speed

The linear speed tangent to a curved path, such as in circula…

Rotational speed (sometimes called ang…

The number of rotations or revolutions per unit of time; ofte…

Rotational Inertia

Distribution of Mass

Linear Momentum

Angular Momentum

The resistance of an object to changes in its rotational moti…

The spatial concentration of mass within a solid body. The gr…

The product of the mass and the velocity of an object.

The product of the rotational inertia and rotational velocity…

Rotational Inertia

The resistance of an object to changes in its rotational moti…

Distribution of Mass

The spatial concentration of mass within a solid body. The gr…

The resistance an object has to change…

Inertia can be thought of as a measure…

Newton's first law does not apply to r…

According to the law of inertia, rotat…

rotational inertia

"laziness"

FALSE

TRUE

The resistance an object has to change…

rotational inertia

Inertia can be thought of as a measure…

"laziness"

Kinematics

rotational

translational

Radians?

no forces ; only displacement velocity, acceleration, and time

motion around the center of the mass

motion of the center of the mass

1 revolution=360 degrees=2pie radians

Kinematics

no forces ; only displacement velocity, acceleration, and time

rotational

motion around the center of the mass

Translation

Rotation

Rigid Body

ω = ∆θ / ∆t

if an imaginary line on an object stays parallel to its origi…

if an imaginary line on an object does NOT stay parallel to i…

for a rotating object, if all the points along a radial line…

write the equation for average angular velocity... ω = average a…

Translation

if an imaginary line on an object stays parallel to its origi…

Rotation

if an imaginary line on an object does NOT stay parallel to i…

linear speed

centripetal force

torque

centripetal acceleration

The linear speed of a point on a rotating object depends on i…

a force that acts on a body moving in a circular path and is…

This is the tendency of a force to rotate an object around an…

In uniform circular motion, the direction of the velocity cha…

linear speed

The linear speed of a point on a rotating object depends on i…

centripetal force

a force that acts on a body moving in a circular path and is…

Tangential speed

Rotational Speed

Rotational inertia

Torque

the linear speed tangent to a curved path, such as in circula…

the number of rotations or revolutions per unit of time, ofte…

the property that an object that measures its resistance to a…

the product of force and lever arm distance which tends to pr…

Tangential speed

the linear speed tangent to a curved path, such as in circula…

Rotational Speed

the number of rotations or revolutions per unit of time, ofte…

force

acceleration

velocity

formula for velocity

- center seeking... - directed towards the center of the circle…

- center seeking... - caused by centripetal force... - magnitude ma…

- tangent to the circular path... - direction in which object is…

distance/time

force

- center seeking... - directed towards the center of the circle…

acceleration

- center seeking... - caused by centripetal force... - magnitude ma…

rotational motion

radian

angular displacement

angular speed

motion of a body that spins about an axis.

an angle whose arc length is equal to its radius, which is ap…

The change in the angle as an object rotates.

the rate at which a body rotates about an axis, usually expre…

rotational motion

motion of a body that spins about an axis.

radian

an angle whose arc length is equal to its radius, which is ap…

T or F... Newton's 1st law does not apply…

T or F... According to the law of inertia…

A ___ is required to change the rotati…

Rotational Intertia

false

true

torque

depends on the mass of an object, and the distribution of mas…

T or F... Newton's 1st law does not apply…

false

T or F... According to the law of inertia…

true

what is the formula for arc length?

is counter-clockwise positive or negat…

what is the formula for angular veloci…

what is the formula for angular accele…

s = radius times feta

positive

change in the angle divided by change in time

change in angular velocity divided by change in time

what is the formula for arc length?

s = radius times feta

is counter-clockwise positive or negat…

positive