Question

A wheel is turning at 55 rad/s, and is slowing due to friction at a rate of -1.7 rad/s?. How long will the

wheel turn before coming to rest?(in seconds) How far will the wheel turn before coming to rest?( in
radians)

Answer 1

32.4 s, 890 rad

Step-by-step explanation:

ω₀ = 55 rad/s, α = -1.7 rad/s², ω = 0

α = (ω - ω₀)/t, so

t = -ω₀/α = -55/(-1.7) = 32.4 s

Δθ = ω₀t + αt²/2 = 55*32.4 + (-1.7)*32.4²/2 = 890 rad