Unit 5 Review

Variables

100

Name the physical quantity associated with this variable:

θ

Angular Displacement (theta)

200

Name the physical quantity associated with this variable:

ω

Angular Velocity (omega)

300

Name the physical quantity associated with this variable:

α

Angular Acceleration (alpha)

400

The physical quantity that is represented by this variable.

𝜏 

Torque

Units

100

The units of angular displacement

Radians or Degrees

200

The units of angular velocity

Radians per second (rad/s)

Revolutions per minute (rev/min)

300

The units of angular acceleration

Radians per second squared

Degrees per second squared

400

The units of torque

Newton-meters (N*m)

Rotational vs. Linear Kinematics

100

The relationship between angular (Δθ) and linear displacement (Δs)

Δθ = Δs/r

200

The relationship between angular (ω) and linear velocity (v)

v = r * ω

300

A wheel is rotating at 4.0 rad/s.
Its rotation accelerates at a rate of .25 rad/s².

How fast is the wheel rotating after 3 seconds?

4.75 rad/s^2

400

The rotational kinematics equation that doesn't include time (t)

ω² = ω₀² + 2α*Δθ

Torque

100

This type of equilibrium is achieved when the net external torque acting on a system is 0

Rotational Equilibrium

200

Torque is maximized at this angle between the force, F, and the lever arm, r

pi/2 radians

90 degrees

!! Perpendicular !!

300

The equation for torque

tau = r * F *sin(θ)

400

The positive direction of torque (from the right-hand rule)

CCW (counterclock wise)