Q3 PreCal Assignment #4 Linear/Angular Velocity

Calculate the length of an arc with radius 15 cm and central angle of 30°.

• 450 cm
• 5π/2 cm or ≈ 7.9 cm
• 225 cm
• 5π/4 cm or ≈ 3.9 cm

Determine the central angle if the arc length is 10 cm and the radius is 5 cm.

• 2°
• not possible ... "s" is too small
• ≈ 114.6°
• 360°

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

• 224/9 cm² or ≈ 24.9 cm²
• 896 π/9 cm² or ≈ 312.8 cm²
• 4480 cm²
• 224 π/ 9 cm² or ≈ 78.2 cm²

What is the radius of the circle with area of a sector equal to 7π cm² and central angle of 70°?

• 6 cm
• 1π/5 cm or .6 cm
• .8 cm
• 36 cm

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

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 miles per hour?

• 7.95π mi / 1 hr
• 15.90 mi / 1 hr
• 3.28 rad / 1 hr
• 2.84 rad / 1 hr

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1

CCSS.HSN.Q.A.1

A CD is spinning at an angular velocity of 10 rad/s. If a point on the edge of the CD has a linear velocity of 5 m/s, what is the radius of the CD?

• 2

• 10

• 1

• 0.5

The King Arthur Carousel at Disneyland has a 50 foot diameter and makes 4 revolutions per minute. Find the angular speed.

• 8 feet per minute

• 8pi radians per minute

• 8

• 25 feet per minute

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

A Ferris wheel has a radius of 25 meters and completes one full rotation in 5 minutes. What is the linear speed of a point on the edge of the Ferris wheel in meters per minute?

• 10π meters/min

• 5π meters/min

• 25π meters/min

• 50π meters/min

Calculate the angular velocity in radians per second of a wheel with a diameter of 1 meter rotating at 120 revolutions per minute.

• 2π rad/s

• 8π rad/s

• 6π rad/s

• 4π rad/s