Question

A rotating wheel requires a time Δt = [01]_____________________ to rotate 37.0 revolutions. Its angular speed at the end of the interval is ω = 75.9 rad/s. What is the constant angular acceleration (rad/s2 ) of the wheel

Answer 1

Step-by-step explanation:

Initial angular velocity ω₁ = 0 , final angular velocity ω₂ = 75.9 rad /s

angle rotated = θ

= 37 x 2π

= 74 π

The formula for angular velocity

ω₂² = ω₁² + 2αθ , α is angular acceleration

75.9² = 0 + 2 α x 74 π

α = 75.9² / 2 x 74 π

= 12.396 rad / s²