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Angular and Linear Speed

Authored by Andy Burch

Mathematics

10th - 12th Grade

CCSS covered

Used 22+ times

Angular and Linear Speed
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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Tags

CCSS.HSF.TF.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

90π ft / 1 hr

2700π ft / 1 hr

5400π ft / 1 hr

4050π ft / 1 hr

Tags

CCSS.HSG.GMD.A.1

CCSS.HSN.Q.A.1

CCSS.HSA.CED.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.HSG.GMD.A.1

CCSS.HSA.SSE.A.1

CCSS.HSN.Q.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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
7200π rad / 1 hr

Tags

CCSS.HSG.GMD.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.TF.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A spin balancer rotates the wheel of a car at 500 revolutions per minute.  If the diameter of the wheel is 26 inches, what road speed is being tested?

12.31π mi / 1 hr
12.09π mi / 1 hr
13. 44π mi / 1 hr
24.62π mi / 1 hr

Tags

CCSS.HSG.GMD.A.1

CCSS.HSA.SSE.A.1

CCSS.HSN.Q.A.1

CCSS.HSA.CED.A.1

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A spin balancer rotates the wheel of a car at 500 revolutions per minute.  If the diameter of the wheel is 26 inches, 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

Tags

CCSS.HSF.TF.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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