linear and angular velocity

A ceiling fan with 16 inch blades rotates at 45 rpm.  Find the angular velocity of the fan in rad/min.  Round to the nearest tenth.

• 90 rad/min
• 282.7 rad/min
• 45 rad/min
• 141.4

Tags

CCSS.HSF.TF.A.1

CCSS.HSN.Q.A.1

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

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.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSN.Q.A.1

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

• 3.2 rad/s
• 26 rad/s
• 52 rad/s
• 81 rad/s

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

CCSS.HSN.Q.A.1

To convert between linear velocity and angular velocity you used ___________.

• r =vω

• ω = vr

• ω=r/v

• v =rω

Tags

CCSS.HSA.CED.A.4

CCSS.HSG.C.B.5

To convert between revolutions and radians you must _________.

• Multiple the number of revolutions by 2π

• Divide the number of revolutions by 2π

• Divide 2π by the number of revolutions

• None of the above

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

Determine the linear velocity in inches/min of a gyroscope with radius 3 inches rotating at 6 rps (revolutions per second). Leave answer in terms of π.

• 36π in/min

• 0.6π in/min

• 360 in/min

• 2160π in/min

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

A ceiling fan with 16 inch blades rotates at 45 rpm. Find the linear velocity of the fan in feet per minute. Round to the nearest ft.

• 4524 ft/min

• 377 ft/min

• 283 ft/min

• 54287 ft min

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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?

• 1200π rad / 1 hr

• 1,008,000π rad / 1 hr

• 504,000π rad / 1 hr

• 72000π rad / 1 hr

Tags

CCSS.HSF.TF.A.1

CCSS.HSN.Q.A.1

A spin balancer rotates the wheel of a car at 500 revolutions per minute. If the diameter of the wheel is 26 inches, what linear speed in ft per min?

• 1083.3π ft / min

• 13000 π ft / min

• 2166.7π ft / min

• 24.62π ft i / min

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1

CCSS.HSN.Q.A.1