Trig 3.4 Linear and Angular Speed

Categorize something that is measured in radians per second

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

Categorize something that is measured in mph

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

• Angular velocity measured in radians

• The central angle measured in degrees

• The central angle measured in revolutions

• The central angle measured in radians

Tags

CCSS.HSF.TF.A.2

What is 45 degrees in radians?

• π/2
• π/6
• π/4
• 3π/4

Tags

CCSS.HSF.TF.A.2

What is 7π/4 radians in degrees?

• 300^o

• 135^o

• 315^o

• 45^o

Tags

CCSS.HSF.TF.A.2

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute.  What is the angular speed in radians per hour?

• 90π rad / 1 hr
• 2700π rad / 1 hr
• 5400π rad / 1 hr
• 97200π rad / 1 hr

A ceiling fan has 18 inch blades and turns at a rate of 5400π radians per hour. What is the linear speed in feet per hour?

• 90π ft / 1 hr

• 4010π ft / 1 hr

• 5400π ft / 1 hr

• 8100π ft / 1 hr

A car tire has a diameter of 14 inches and is spinning at a of 10 revolutions per second. What is the linear speed in inches per second?

• 280π in / s

• 140π in / s

• 280 rad / s

• 300 in / s

A car tire has a diameter of 14 inches and is spinning at a rate of 10 revolutions per second. What is the angular speed in radians per hour?

• 120π rad / 1 hr
• 1,008,000π rad / 1 hr
• 504,000π rad / 1 hr
• 72000π rad / 1 hr

Tags

CCSS.8.EE.C.7B

A spin balancer rotates the wheel of a car at 500 revolutions per minute.  What is the angular speed in degrees per second?

• 16.67 deg / sec
• 6,000 deg / 1 sec
• 3,000 deg / 1 sec
• 180,000 deg / 1 sec