Trig 3.4 Linear and Angular Speed
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is angular speed?
Back
Angular speed is the rate of change of angular position of a rotating object, typically measured in radians per second.
2.
FLASHCARD QUESTION
Front
How do you convert revolutions per second to radians per hour?
Back
Multiply the number of revolutions per second by 2π to get radians per second, then multiply by 3600 to convert to radians per hour.
Tags
CCSS.HSF.TF.A.1
3.
FLASHCARD QUESTION
Front
What is the formula for linear speed?
Back
Linear speed (v) can be calculated using the formula v = r * ω, where r is the radius and ω is the angular speed in radians per second.
4.
FLASHCARD QUESTION
Front
How do you convert radians to degrees?
Back
To convert radians to degrees, multiply the radian measure by 180/π.
Tags
CCSS.HSF.TF.A.1
5.
FLASHCARD QUESTION
Front
What is the relationship between linear speed and angular speed?
Back
Linear speed is directly proportional to angular speed and the radius of the circular path: v = r * ω.
6.
FLASHCARD QUESTION
Front
What is the diameter of a circle if the radius is 14 inches?
Back
The diameter is twice the radius, so the diameter is 28 inches.
Tags
CCSS.7.G.B.4
7.
FLASHCARD QUESTION
Front
If a tire spins at 10 revolutions per second, how many radians does it cover in one second?
Back
In one second, it covers 10 revolutions * 2π radians/revolution = 20π radians.
Tags
CCSS.HSF.TF.A.1
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