8-1 1. If a car wheel rotates 12.35 revolutions then how many degrees has it rotated, and how many radians has it rotated? 2. The world's tallest Ferris wheel is the High Roller in Las Vegas NV, it has a radius of about 79 meters. If the wheel rotates at a constant angular velocity, w, of 0.25 rad/s then what is the linear velocity of the passengers?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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1,2,5
8-1
1. If a car wheel rotates 12.35 revolutions then how many degrees has it rotated, and how many
radians has it rotated?
2. The world's tallest Ferris wheel is the High Roller in Las Vegas NV, it has a radius of about 79
meters. If the wheel rotates at a constant angular velocity, w, of 0.25 rad/s then what is the
linear velocity of the passengers?
Transcribed Image Text:8-1 1. If a car wheel rotates 12.35 revolutions then how many degrees has it rotated, and how many radians has it rotated? 2. The world's tallest Ferris wheel is the High Roller in Las Vegas NV, it has a radius of about 79 meters. If the wheel rotates at a constant angular velocity, w, of 0.25 rad/s then what is the linear velocity of the passengers?
-3
5.
If the tire in problem 1 had a diameter of 39 cm and it rolled without slipping, then how far did
the tire roll after it rotated 12.35 revolutions?
Transcribed Image Text:-3 5. If the tire in problem 1 had a diameter of 39 cm and it rolled without slipping, then how far did the tire roll after it rotated 12.35 revolutions?
Expert Solution
Step 1: Part 1 - Angle turned in degrees and Radians

G i v e n space n u m b e r space o f space r e v o l u t i o n s space N space equals space 12.35
O n e space r e v o l u t i o n space i s space 360 space d e g r e e s
12.35 space r e v o l u t i o n s space equals space 12.35 cross times 360 space equals space 4446 space d e g r e e s
a n d space
O n e space r e v o l u t i o n space i s space 2 straight pi space radians
12.35 space revolutions space equals space 12.35 cross times 2 straight pi space equals space 77.59 space radians

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