Angular Velocity
Angular Acceleration
Angular Displacement
Algebra Based Math
Conceptual Questions
100
What is the symbol for angular velocity?
ω
100
What is the symbol for angular acceleration?
α
100
What is the symbol for angular displacement?
θ
100
The angular velocity of an object is 2.34 radians/second. If the radius of the object is 34m, what is the linear velocity of the object?
v=79.56m/s
100
What is angular acceleration measured in?
Radians per second squared
200
What is the equation to find angular velocity?
ω = v/r
OR
ω = θ/t
200
What is the equation for angular acceleration?
α = ω/t
OR
α = ar
200
What is the equation for angular displacement?
Θ=s/r
200
A tire rotates at a constant 1.7 radians angle every 0.15s. What is the tire's angular velocity?
ω=11.33radians/second
200
Write two of the four angular kinematics equations.
θ−θ0=0.5(ω0+ω)t
ω2=ω02+2α(θ−θ0)
θ=θ0+ω0t+0.5αt2
ω=ω0+αt
300
Name an angular kinematics equation that doesn't have angular velocity.
They all have angular velocity.
300
Name a angular kinematics equation without angular acceleration.
θ−θ0 = 0.5(ω0+ω)t
300
Name an angular kinematics equation that doesn't have angular displacement in it.
ω=ω0+αt
300
When you switch your room fan from medium to high speed, the blades accelerate at 1.2 radians per second squared for 1.5 seconds. If the initial angular speed of the fan blades is 3.0 radians per second, what is the final angular speed of the fan blades in radians per second?
4.8 rad/s
300
What is different about linear velocity on a circle?
It is tangent to the circle.
400
What is the equation to find average angular velocity?
400
A flywheel speeds up from rest to 900 rpm in 120 seconds. Find the angular acceleration.
α = .785 radians/seconds2
400
A rotating machine has an initial angular speed of 1.6 radians/seconds accelerates at a rate of 0.5 radians/seconds2 for 5 seconds. What is the angular displacement?
14.25 radians
400
The angular momentum (L) of an object is 4 kgm2/s. The angular velocity of the object is 4 radians/second. What is the moment of inertia for the object?
1 kgm2
400
A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge and the girl is closer to the center. Who has the greater angular displacement?
They both have the same displacement.
500
The radius of a circle is 890 cm. The circle is moving at a LINEAR velocity of 12 m/s. What is the angular velocity of the circle.
ω = 1.35 radians/second
500
After 3 second the angular velocity is 1.35 radians per second. If it started at rest and the radius is 80 meters then what is the angular acceleration.
α = 0.45 radians/seconds2
500
If a circle has an initial angular velocity of 0 and a final angular velocity of 20 radians/s over 23 seconds what is the circles angular displacement.
230 radians
500
A carousel—a horizontal rotating platform—of radius r is initially at rest, and then begins to accelerate constantly until it has reached an angular velocity ω after 2 complete revolutions. What is the angular acceleration of the carousel during this time?
w²/(8π)
500
A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed?
The boy