arc length, linear and angular velocity

Find the length of the bold arc.

• 5688π ft

• 49.61 ft

• 150.4 ft

• 54,150 ft

Tags

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 1.6in
• 3in
• 6.8in
• 2.5in

Tags

CCSS.HSG.C.B.5

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

• 11.23 cm

• 18.14 cm

• π/9 cm

• 60.44 cm

Tags

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

Find the arc length.

• 5.50 cm
• 11.00 cm
• 0.39 cm
• 141.37 cm

Tags

CCSS.HSG.C.B.5

Find the length of the arc to 2dp

• 9.42cm

• 150.80cm

• 4.71cm

• 18.85cm

Tags

CCSS.HSG.C.B.5

Find the length of the arc to 2dp

• 25.12cm

• 12.57cm

• 628.32cm

• 31.42cm

Tags

CCSS.HSG.C.B.5

Find the length of the arc to 2dp

• 1.95cm

• 3.91cm

• 0.98cm

• 2.93cm

Tags

CCSS.HSG.C.B.5

The wheels of a car have radius 11 in. and are rotating at 600 rpm.  Determine the speed of the car in miles/hour to the nearest tenth.  (Determine ω (angular velocity) first and then use v=ω⋅r and convert to miles/hour)

• 6.3 miles/hour
• 12.5 miles/hour
• 39.3 miles/hour
• 78.5 miles/hour

Tags

CCSS.HSN.Q.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?  (Hint:  determine the circumference first ... rev/circumference ... then convert to rev/mile)  Round answer to the nearest tenth.

• 6635.0 rev/mile
• 672.3 rev/mile
• 884.7 rev/mile

Tags

CCSS.8.EE.C.7B

Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.

• 5654.9 in/min
• 1800 in/min
• 2827.4 in/min
• 900 in/min

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1