THS Q5 Trig Linear and Angular Speed

Front

What is the conversion of 45 degrees to radians?

Back

π/4

Tags

CCSS.HSF.TF.A.1

Front

Convert 7π/4 radians to degrees.

Back

315°

Tags

CCSS.HSF.TF.A.1

Front

What is the formula for the area of a sector?

Back

Area = (θ/360) * π * r², where θ is the central angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

Calculate the area of a sector with a central angle of 140° and radius of 8 cm.

Back

224π/9 cm² or ≈ 78.2 cm²

Tags

CCSS.HSG.C.B.5

Front

What is the formula for linear speed?

Back

Linear Speed = Radius * Angular Speed (in radians per second).

Front

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

Back

140π in/s

Front

What is the relationship between linear speed and angular speed?

Back

Linear Speed = Radius * Angular Speed.

Front

How do you convert radians to degrees?

Back

Degrees = Radians * (180/π).

Tags

CCSS.HSF.TF.A.1

Front

How do you convert degrees to radians?

Back

Radians = Degrees * (π/180).

Tags

CCSS.HSF.TF.A.1

Front

What is the linear speed of a ceiling fan with 18 inch blades turning at 5400π radians per hour?

Back

8100π ft/hr

Tags

CCSS.HSG.SRT.C.8