4.1 Linear and Angular Speed

What's the arc length formula?

• s = rθ

• s = r^2

• s = θ

• v = θ/t

What's the angular speed formula?

• s = rθ

• v = s/t

• ω = θ/t

What's the linear speed formula?

• v = rθ/t or v = s/t

• v = r/t or v = s/t

• v = θ/t or v = r/t

What's the length of an arc if its diameter is 10ft and its central angle is 30 degrees? Hint: convert from degrees to radians

• ~5.24 ft

• ~2.62 ft

• ~7.85 ft

• ~1.77 ft

A record player spins a record at 3 revolutions per second. If the edge of the record is 7 inches away from the center, what's the linear speed of the record in inches/second?

• 42pi in/sec

• 21pi in/sec

• 65.97 in/sec

• 144 in/sec

This carousel spins at 2 revolutions per minute. What's the angular speed in radians/minute?

• 6pi radians/minute

• 8pi radians/minute

• 4pi radians/minute

• 9 radians/minute

When doing these problems, theta, your angle, must be in _________.

• degrees

• radians

• revolutions/min

• radians/min

A car wheel that is 30 inches in diameter travels at 3 revolutions per second. What's the linear speed of a point on the edge of the wheel, in inches/MINUTE?

• 1.5pi in/min

• 5400 in/min

• 90 in/sec