Math Problem Statement
A father is helping his young son learn to ride a bike by pushing on the bike seat from the back. At one point, the wheel of the bike is turning with an angular speed of one revolution in 6 seconds. Later, after 22.7 seconds have elapsed, it is turning with an angular speed of 18 revolutions per minute.
What angle did the wheel turn over these 22.7 seconds?
Solution
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Math Problem Analysis
Mathematical Concepts
Angular Motion
Kinematics
Unit Conversion
Formulas
ω_avg = (ω_0 + ω_f) / 2
θ = ω_avg * t
Unit conversion: revolutions per minute to revolutions per second
Theorems
Average angular velocity theorem
Suitable Grade Level
Grades 9-12
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