
Arc Length and Angular & Linear Speed
Authored by Kim Stewart
Mathematics
11th - 12th Grade
CCSS covered
Used 140+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?
6.67 rad/s
2500 rad/s
41.9 rad/s
20.9 rad/s
Tags
CCSS.HSF.TF.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A record spins at 33 rpm (revolutions per minute), which is an angular speed of about 3.46 radians per second. What is the approximate linear speed of a fly that sits on the record, 12 cm from the center?
3.4 cm/s
21.5 cm/s
41.5 cm/s
131.9 cm/s
Tags
CCSS.HSF.TF.A.1
CCSS.HSN.Q.A.1
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular speed of the fan in rad/min. Round to the nearest tenth.
90 rad/min
282.7 rad/min
45 rad/min
141.4 rad/min
Tags
CCSS.HSF.TF.A.1
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
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.
Tags
CCSS.HSA.SSE.A.1
CCSS.HSN.Q.A.1
CCSS.HSA.REI.B.3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the angular speed in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.
360π rad/min
12π rad/min
360 rad/min
720π rad/min
Tags
CCSS.HSF.TF.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A child sits 0.75 m from the center of a merry go round. The merry go round makes one revolutions in 4 seconds. What is the child's linear speed? (Use 3.14 as pi, and Round your answer to tenths)
1.9 m/s
1.2 m/s
12.6 m/s
4.71 m/s
Tags
CCSS.HSA.SSE.A.1
CCSS.HSG.GMD.A.1
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The wheel of a machine rotates at the rate of 300 rpm (revolutions per minute). If the diameter of the wheel is 80 cm, what is the angular speed in radian per second ?
1884.96 rad/sec
24,000 rad/sec
31.42 rad/sec
1256.29 rad/sec
Tags
CCSS.HSF.TF.A.1
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