Arc Length, Angular + Linear Velocity

What is arc length?

• A portion of the circumference

  of a circle

• distance across a circle

• distance from center

  of circle to edge

• distance around the circle

• the angle made

  between 2 radii

What is angular velocity?

• Distance traveled by an object in a circular path
• Speed of an object moving in a straight line
• How fast a circle spins

• Rate of change of the angle with respect to time

• The abstraction of your thoughts

What is linear velocity?

• The speed of an object along the circumference of a circle

• Temperature of a substance
• How fast the angle changes

• The distance in a straight line of the circumference

• An extraneous value unrelated to the problem

What units can be used to measure arc length?

• Grams, kilograms, ounces, etc.
• Degrees, radians, minutes, etc.
• Meters, centimeters, kilometers, etc.
• Liters, gallons, pints, etc.

which formula gives arc length?

What units can be used for angular velocity?

• Liters per second (L/s)
• radians per second (rad/s) or degrees per second (°/s)
• Miles per hour (mph)
• Inches per minute (in/min)
• Revolutions per radians

Which formula can be used to find angular velocity?

• angular velocity = distance / time

What formula can be used to find linear velocity?

What could be the units of linear velocity?

• m/s (meters per second), km/h (kilometers per hour), ft/s (feet per second), etc.
• yards per second
• miles per hour
• inches per minute

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft